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Theoretical and numerical framework for Null-Vector Gravity (NVG) and Vacuum Mass Fraction (VMF): mapping QCD vacuum condensate phase transitions to neutron star equations of state, magnetars, cyclic cosmology, and regular black holes.

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Null-Vector Gravity (NVG) & Vacuum Mass Fraction (VMF) Framework

License: MIT Python 3.12 CI Build & Verification

Reproducible verification interface

The maintained computational surface is indexed in the machine-readable script and artifact registry. Run the ordinary scientific gate from the repository root with python verification/run_verification.py; it validates registry/provenance, regenerates the canonical runtime ledger, and runs python -m pytest -q verification. Registry roles distinguish canonical, validation, forecast, synthetic, retired, utility, and historical surfaces. The separate run_all_checks.py command is a process-only smoke harness and is not scientific evidence. Input provenance and generated-artifact ownership are recorded in the provenance.json and artifact_manifest.json manifests. Current runtime provenance and the distinction from historical publications are described in PUBLICATION_STATUS.md.

Latest accepted finite-temperature bridges

The accepted finite-temperature closure adds two bounded, live calculations. The master response rebuilds eight W8/U16 states and publishes 160 complex off-pole/static rows plus 32 analytic spacelike absorptive-cut rows. Each response keeps all six components of the three density/scalar/longitudinal- current operators, the Ward/static/dynamic controls, the full 4x4 saddle elimination, and both declared scales without applying a scale twice. The composition bridge publishes 32 canonical rows with mu_B, mu_D, free energy, pressure, the full Hessian and inverse, and the (B,Q) coordinate map. The fixed j=11.13601607117819 MeV contact is a conditional known input only: these are local mathematical bridges, not a new force, an all-frequency positive spectral-measure proof, or experimental confirmation.

Reports: thermal master response, thermal composition Hessian, and the accepted closure note.

Focused reproduction (write JSON outside the checkout):

PYTHONDONTWRITEBYTECODE=1 .venv-research/bin/python3.12 -B verification/nvg_thermal_master_response.py \
  --output /tmp/nvg_thermal_master_response_results.json
PYTHONDONTWRITEBYTECODE=1 .venv-research/bin/python3.12 -B verification/nvg_thermal_composition_hessian.py \
  --output /tmp/nvg_thermal_composition_hessian_results.json
PYTHONDONTWRITEBYTECODE=1 PYTHONPATH=verification .venv-research/bin/python3.12 -B -m unittest \
  verification.test_thermal_master_response \
  verification.test_thermal_composition_hessian -v

Use Python 3.12 and a fresh environment; CI uses the same requirements and resolved constraints. From the repository root:

python3.12 -m venv .venv-research
.venv-research/bin/python -m pip install -r requirements.txt -c constraints-python312.txt
.venv-research/bin/python -m pip check
.venv-research/bin/python verification/run_verification.py

The constraints pin NumPy 1.26.4, SciPy 1.13.1, mpmath 1.3.0 and the remaining verification dependencies. Python 3.9 environments from older runs, including an existing .venv, are not the supported setup. Preserve them if needed and use the fresh environment above. With another working directory, pass the absolute path to both the environment's Python and run_verification.py. PyCBC is included because the semantic suite imports the echo-search modules. Optional live GW fetching additionally requires gwosc and external data access.

The source-complete model document (Russian) states the action, parameter provenance, EOS and independently calculated consequences of the effective one-component model. Its fixed parameters do not reproduce symmetric nuclear-matter saturation: at the reference density, the pressure is positive and the energy per baryon exceeds the rest mass. Numerical consistency therefore does not establish a physical neutron-star model or empirical confirmation. The maintained calculation has an equilibrium audit, a mathematical stellar sequence, and a vacuum-spectrum/conditional-response audit. Current artifact acceptance is recorded in the registry and manifest above; the model document explains the physical limits independently of that status.

Two no-fit boundary calculations now make the nuclear limitation more precise. For the unmodified static, zero-temperature d=4, s=1 Thomas--Fermi functional, a sharp inequality proves (E>N_BM_N) for every finite configuration: the live coefficient (C=3\pi^2\lambda W_0^4/(8M_N^4)) is (2.72164>1/4), so this restricted functional has no self-bound droplet. Separately, its leading tree/static exchange between two same-sign N currents is repulsive at every (r>0). The latter is not a deuteron or full NN prediction: (g_\omega^2/(16\pi^2)=0.649), so loops, QCD channels and the missing quantum sectors are not controlled. See the finite-droplet audit and static two-baryon audit. Combining those two restricted calculations yields a useful no-fit scale map, not a repaired theory: in a formal deformation that changes only (\lambda), the Q4 certificate ceases to be strict below (\lambda_{Q4}=0.0964492), while the same tree/static kernel becomes attractive at (Q=0) only below (\lambda_{q0}=0.00484225). The live value is (1.05); this is a substantial change of the scalar action, and the resulting interval neither selects a parameter nor proves binding. The cross-scale gate records the exact assumptions, range-sign consequence, and limits. Solving that same formal, spinless tree/static S-wave Hamiltonian is a stronger follow-up: its first zero-energy threshold is only (0.0011028<\lambda_c^{\rm formal}<0.0011029), about 952 times below the live value. This shows that a negative long-range tail or a negative (Q=0) sign is not by itself a binding criterion; it is still not a real NN/deuteron calculation. See the formal S-wave threshold audit.

A separate source-free vacuum check finds the listed minimal-sector tree-level two-body cuts (\sigma\to N\bar N), (A\to N\bar N), and (\sigma\to AA) kinematically closed at the live masses. This is only the absence of those intrinsic vacuum widths in the displayed action fragment; it is not a lifetime, Q, dark-matter, device, or all-orders stability prediction. See the minimal vacuum-closure audit.

The source-free local Abelian-Higgs subsector also has (\beta=m_\sigma^2/m_A^2=2.53003\ldots>1), hence a type-II, non-BPS parameter ratio. This is a conditional mathematical direction only: without an explicit compact-U(1), charge-lattice, and global-boundary completion it does not establish a physically protected vortex or string. The branch and its BVP are recorded in the conditional vortex-sector audit.

For the generator branch, see the practical energy audit producer, semantic tests, deterministic JSON, and Russian report. It is a zero-weight utility/non-evidence audit: unsupported vacuum/CISS/over-unity paths are rejected, while only a configurable conventional waste-heat Seebeck model is retained.

Preprints: Published titles and links are retained as a historical bibliography. Their conclusions are not automatically results of the current executable model.

  • DOI Lattice Sigma Terms as an Anchor for the Dense Nuclear Matter Equation of State
  • DOI Analytic Derivation of the Dense Matter Equation of State and Maximum Neutron Star Mass via QCD Vacuum Condensate Phase Transitions
  • DOI Geometric Truncation of Low-Multipole CMB Power and Null B-Mode Prediction from a QCD-Scale Euclidean Instanton Bounce
  • DOI A Discrete Cyclic Mass Hierarchy 4^N for Primordial Black Holes: Bridging Asteroid-Mass Dark Matter to Early JWST Heavy Seeds
  • DOI Resolution of the Slow-Rotating Magnetar Paradox via QCD Vacuum Permeability Phase Transitions
  • DOI Eliminating the Observer Effect: Wave Function Collapse as Deterministic Topological Reconnection in a Condensate Vacuum
  • DOI Neutron Star Structure from a Single QCD Parameter: Equation of State, Tidal Deformability, and Cooling Threshold in the Null-Vector Gravity Framework Historical publication bundle (not current runtime evidence). The maintained code exposes a hyperon-threshold proxy, raw RMF comparisons, and a calibrated cooling threshold; a complete beta-equilibrated EOS and independent likelihood are not implemented, so no hyperon-puzzle resolution is claimed.
  • DOI Dynamics of the QCD Vacuum Condensate Amplitude in Dense Matter and Cosmology Historical proposal for radial-field dynamics and an FLRW melting/bounce interpretation near $n_B\approx2.05,n_0$. The maintained source-complete action instead has positive vector energy diverging as $W^{-2}$ at fixed nonzero baryon density, so that density-melting/bounce claim is not supported by the current model.
  • DOI Seven Results of the Vacuum Condensate: From Nuclear Matter to Quantum Mechanics Historical collection of Madelung, stochastic-electrodynamics and Einstein–Cartan proposals. Fourier uncertainty identities and illustrative standard-formula calculations do not derive quantum measurement, Hawking radiation or a cosmological bounce from the maintained source-complete action; that action includes no torsion sector.
  • DOI Resolution of the Hyperon Puzzle via QCD Vacuum Condensate Melting in the NVG/VMF Framework Historical publication bundle (not current runtime evidence). It describes a proposed hyperonic phase-transition model; the maintained repository does not provide the independent EOS construction/likelihood needed to call this an empirical resolution.

Density-tail universality and calibration limits

The latest calculation and derivation (Russian) move beyond finite droplets to the homogeneous cold-matter model. For a regular positive power-law potential U ~ a W^p, constant positive couplings and the stated minimum/regularity assumptions,

lim(P/epsilon) = lim(dP/depsilon) = max(1/3, (p-2)/(p+2)).

An explicit positive deformation preserves the vacuum and calibration potential derivatives through order three but changes the formal tail limit from 3/5 to 7/9. The first local distinguishing coefficients are Delta Z = 2.1207879107 MeV and 0.04849382613 MeV for the two declared calibrated examples. These are within-model mathematical results, not a universal law, measurements, a new physical interaction, or a bounce proof.

Reproduce the five-case/35-state calculation and its 13 focused tests with mpmath installed:

PYTHONDONTWRITEBYTECODE=1 python -B verification/nvg_density_universality_audit.py
PYTHONDONTWRITEBYTECODE=1 PYTHONPATH=verification python -B -m unittest verification.test_nvg_density_universality_audit -v

The program computes its output afresh and rejects corrupted numerical evidence. See the frozen contract for assumptions and the research directions for the full idea selection. The shared BulkModel/inverse_potential_jet API is included as a dependency; the separate upstream audit CLI is outside this focused workflow.

Finite-nucleus static branch: blind isovector probe and its identification

The static W8.93 branch (no rho, s* = 0.2268, Ca40 anchor) was extended through a pre-registered chain of finite-nucleus probes: isovector contact with form factor, the held-out Ca48 test, and the four-nucleus discriminating set {Zr90, Pb208, Ca48, Sn132}. Verdict: UNIVERSAL_CONSTANT_SUPPORTED — a single bulk isovector constant j = 11.14 MeV (J_design = 23.78 MeV) collapses the binding-energy residual 202.7 -> -3.4 MeV (~60x) with anchor drift -0.04%; the four tangents span 10.44-12.38 MeV (mean 11.136 MeV).

The follow-up identification audit shows what this constant is: the interaction part of the classical nuclear symmetry energy — the 1935 Bethe-Weizsacker asymmetry term, equal in the zero-range limit to the rho-meson channel of QHD:

Model quantity Value Literature match Deviation
T_CONTACT = k_F^2/(6 E_F) 12.644 MeV Fermi-gas kinetic symmetry energy band 11.0-13.0
J_design = T + j 23.780 MeV LDM a_sym 22.90-23.7 MeV +0.3...+3.9%
j (interaction piece) 11.136 MeV a_sym - T_kin = 10.9-11.4 MeV within 2.5%
implied g_rho (tau/2) 6.60 published RMF range 4.1-6.8 inside

No new particle or force is claimed. The new element is the method: an isoscalar core measuring the symmetry-energy interaction part blind, with pre-registration, at 1-3% accuracy. Radii/skins remain outside the static branch (shell physics); adopting the isovector term as a theory element is a pending author decision; all these audits carry evidence_weight = 0.

The closing transferability probe tests the constant from both sides. Part A: a secant re-anchoring of s* on Ca40 under the rho contact gives ds/s = -0.041% (s*_rho = 0.2267063) — verdict REANCHORED_UNIVERSAL_J_SURVIVES, the residual collapse 202.7 -> -2.6 MeV survives a clean recalibration of the anchor. Part B: the canonical NS chain is one-component (isoscalar EOS — the rho term cannot enter it), and transferring j = 11.136 MeV into the two-component saturated-vector family (C_rho -> 2j/n0 = 139.2 MeV fm^3) yields realistic J = 29.0 / L = 85 MeV and RAISES M_max 2.048 -> 2.095 Msun (verdict TRANSFERABLE_TO_NS_SECTOR), but breaks the secondary screening bands (R_1.4 = 13.45 km > 13.2; Lambda_tilde ~ 940/870 > 720): the mechanism is the tied saturation calibration compensating the softer isospin by raising c_omega0 (1794 -> 2074), stiffening the EOS. Conclusion: j is not a freely transferable drop-in constant — the NS family would require re-selection, not a single substitution.

That re-selection is now done: the pre-registered soft-isospin re-selection scan (3150-point grid over the isoscalar family shape and transition parameters at C_rho = 2j/n0) answers in two stages. Stage 1 (transition parameters alone at the baseline isoscalar shape): 0 of 42 survivors — drop-in re-selection cannot absorb the shift. Stage 2 (full family): 75 survivors, verdict SOFT_ISOSPIN_SURVIVOR_FOUND. Best point k1 = 0.20, k2 = 0.60, Cs = 900, n_tr = 1.8, de = 0.10: M_max = 2.0405 Msun, R_1.4 = 12.588 km, Lambda_tilde = 634/624 (margin +0.431, binding: GW170817), UNIQUE_STABLE_BRANCH, confirmed at 120-point resolution; the surviving region is a wide plateau (k1 in {0.20, 0.25}) rather than a fine-tuned needle. A mildly faster scalar-mass decay (k1 0.25 -> 0.20) compensates the isospin-driven stiffening and restores all three bands while keeping the identified j — one constant, both sectors, within the family (conditional, in-sample, evidence_weight = 0).

The first genuinely external test — the PREX-II/CREX consistency probe — then compares the point neutron skins of Pb208/Ca48 on both branches against the published two-sigma bands (pre-registered; neither j nor s* was ever tuned to a skin). Verdict: SKINS_EXCLUDED_BOTH_BRANCHES (Pb208: -5.1 sigma no_rho / -4.4 sigma identified_j; Ca48: -3.4 / -2.8 sigma). The plane-wave F_W and A_PV run high by the same compactness deficit, and the naive contact strength the skins would require (58-72 MeV) is ~5x the identified j. This cleanly separates the bulk energy channel (where j works at 1-3%) from the surface/shell channel (direction IV): the exclusion confirms the documented boundary of the static TF branch rather than failing the constant (evidence_weight = 0).

Reproduce the probes, the identification, the transferability, the re-selection and the external-consistency probe (141 focused tests total):

PYTHONDONTWRITEBYTECODE=1 python -B verification/nvg_sn132_discriminating_set_probe.py
PYTHONDONTWRITEBYTECODE=1 python -B verification/nvg_j_identification_audit.py
PYTHONDONTWRITEBYTECODE=1 python -B verification/nvg_isovector_transferability_probe.py
PYTHONDONTWRITEBYTECODE=1 python -B verification/nvg_soft_isospin_ns_reselection_probe.py
PYTHONDONTWRITEBYTECODE=1 python -B verification/nvg_prex_crex_external_consistency_probe.py
PYTHONDONTWRITEBYTECODE=1 PYTHONPATH=verification python -B -m unittest \
  verification.test_nvg_sn132_discriminating_set_probe \
  verification.test_nvg_j_identification_audit \
  verification.test_nvg_isovector_transferability_probe \
  verification.test_nvg_soft_isospin_ns_reselection_probe \
  verification.test_nvg_prex_crex_external_consistency_probe -v

Contracts: nuclear isospin jet, nuclear closure. Reports: isovector form-factor probe, Ca48 held-out probe, discriminating set, j identification, isovector transferability, soft-isospin re-selection, PREX/CREX consistency. The full scientific front door (registry validation with 512 entries, predictive ledger, canonical suite, 1120 semantic tests) is green at this state.

Overview

This repository contains theoretical proposals, numerical models, diagnostic audits and illustrative experiments for Null-Vector Gravity (NVG) and the Vacuum Mass Fraction (VMF) program. Their implementation and evidence status differ; the source-complete model and its limits are documented above.

The historical mass-budget convention assigns about 91% of the nucleon mass to the remainder after subtracting adopted sigma-term contributions. The quoted $M_{\Omega,0}=859$ MeV is a derived budget/model input, not a direct lattice measurement of a macroscopic field. Identifying it with $W_0$, selecting the potential and choosing couplings require additional assumptions. The maintained model is therefore not a parameter-free bridge from QCD to cosmology.

Historical field-action proposal

The following schematic action summarizes historical extensions. Its electromagnetic/topological terms do not establish the three research directions below as consequences of the maintained source-complete action, whose normalization, matter coupling and Gauss constraint are specified in the model document.

$$ S = \int d^4x \sqrt{-g} \left[ \frac{R}{16\pi G} - g^{\mu u} \partial_\mu \Phi^* \partial_ u \Phi - V(|\Phi|) - \frac{1}{4} Z_{\rm EM}(\mathcal{W}) F_{\mu u} F^{\mu u} + \gamma_{\rm topo} \frac{\alpha_{\rm EM}}{8\pi} \theta F_{\mu u} \tilde{F}^{\mu u} \right] $$

where $\Phi(x) = \mathcal{W}(x) e^{i\theta(x)}$ is the complex vacuum condensate order parameter.

  • Scalar amplitude ($\mathcal W$): The historical proposal links suppression of the field to dense-matter and cosmological effects. In the current fixed-density homogeneous action, complete melting at nonzero density is excluded by the positive $W^{-2}$ vector term; singularity resolution does not follow.
  • Phase and topological-flow proposals ($\theta$): A timelike phase gradient and a $\theta F\tilde F$ interaction can be posited in an extension. Emergent time and magnetar amplification require specified dynamics and matching; the gauge phase of the maintained Higgs sector is not an additional physical Goldstone oscillator.
Historical field-dynamics and melting analysis

The linked preprint develops a field ansatz and a proposed connection to QCD sigma terms. It does not supply the missing operator matching, parameter uncertainties or a derivation of the cosmological correction $-\rho^2/\rho_c$ from the current action. The source-complete equilibrium audit preserves the accepted parameters and finds a density-melting no-go.

For the historical derivation and assumptions, see NVG_VACUUM_W_FIELD_DERIVATION_EN.md.

The repository retains three research directions with separate assumptions and validation boundaries:

Pillar I: Dense Nuclear Matter (VMF)

The historical melting-based EOS program (see Zenodo 20463836) and the canonical calibrated TOV chain are distinct from the current source-complete one-component EOS. The maintained runtime surfaces:

  • Compute a hyperon threshold proxy and raw NL3+Lambda curves. A complete beta-equilibrated hyperonic EOS and independent likelihood are not implemented, so no puzzle resolution is claimed.
  • Compute a calibrated Direct-Urca cooling threshold. The threshold is an in-sample calibration, not an independent cooling-population confirmation.
  • Computes a canonical conditional neutron-star chain (runtime $M_{\max}=2.048,M_\odot$, with a CSS branch at $c_s^2=1/3$; transition parameters are selected in-sample and are not independent evidence).
  • Computes the canonical tidal chain and a transform-only I-Love-Q visualization. The plotted $I(\Lambda)$ and $Q(\Lambda)$ points apply the Yagi–Yunes fits to runtime $\Lambda$ values; no independent moment-of-inertia or quadrupole solve is present, so this is not an EOS-universality test. The canonical transition is selected in-sample from J0740, GW170817, and NICER constraints; downstream NS comparisons are conditional/in-sample, not independent confirmations (verification/nvg_iloveq_plot.py; runtime report).
  • Use the adopted $859$ MeV mass-budget scale alongside declared couplings and EOS calibration parameters; no elimination of parameter degeneracy or independent lattice calibration of $W_0$ is established.
  • Provides a forward $\rho$-meson mass/line-shape template for FAIR/HADES; no event likelihood is present.

Pillar II: Cyclic Cosmology & Genesis (NVG)

The historical cosmology assigns $\rho_c=M_{\Omega,0}^4/(\hbar c)^3\approx7.09\times10^4$ MeV/fm³ from the adopted mass scale. The ratio $2.5\times10^{-77}$ to the Planck density is a dimensional comparison, not proof that a bounce occurs or that all quantum corrections are controlled.

Conditional bounce ansatz: Historical calculations use the modified Friedmann equation below. Its negative quadratic term is an additional assumption; the current source-complete action provides no derived FLRW or Einstein–Cartan torsion completion that generates it. Algebraic evaluation of this equation is not a derivation of the bounce mechanism.

$$H^2 = \frac{8\pi G}{3}\rho\left(1 - \frac{\rho}{\rho_c}\right),\qquad k=0$$

Here rho is mass-equivalent energy density, with no separately added Lambda. This conditional flat case now has an exact solution and independent integration through the bounce. Its pressure is constrained by conservation: epsilon_eff=F(epsilon) requires P_eff=(epsilon+P)Fprime-F. The modification is still not derived from the NVG action. Equations, checks and limitations (Russian).

Conditional scales computed from this ansatz and its declared inputs:

Quantity Value Derivation
Assigned energy-density scale $\varepsilon_c$ $7.09 \times 10^4$ MeV/fm³ $M_{\Omega,0}^4/(\hbar c)^3$
$\rho_c / \rho_{\rm Planck}$ $2.5 \times 10^{-77}$ Scale comparison only
Bounce timescale $t_b$ $3.76 \times 10^{-6}$ s $(8\pi G\rho_c/3)^{-1/2}$
Bounce temperature $T_b$ 432 MeV Stefan-Boltzmann QGP ($g_*=47.5$)
Holographic entropy (Universe) $2.15 \times 10^{91}$ $4\pi r_0^2 / 4\ell_{\rm Pl}^2$
CMB/BAO $\delta H/H$ $\sim 10^{-38}$ Historical ansatz estimate; no CMB/BAO likelihood validation

Genesis Phase — The First Cycle: The historical Genesis construction assumes a Euclidean instanton, Hartle–Hawking-type boundary conditions and a starting point at the assigned density with zero expansion rate. Under those assumptions its radius is:

$$r_c = \frac{c}{\sqrt{8\pi G \rho_c / 3}} \approx 1.13 \text{ km}$$

This gives an initial mass of only $M_1 \approx 0.38,M_\odot$ and a first-cycle lifetime of ~5.9 microseconds. Time itself is proposed to emerge as the Goldstone mode ($dt \propto d\theta$) of spontaneous $U(1)$ symmetry breaking in the vacuum phase sector.

Tolman's Entropy Snowball: The cycle-growth scenario assumes that entropy production survives a bounce and enlarges subsequent cycles. Neither the transfer mechanism nor a measured cycle count is supplied by the equilibrium action. Its illustrative sequence is:

  • Cycle 1: $r_c \approx 1.13$ km, lifetime $\sim 5.9,\mu$s
  • Assigned element 77 (76 mass doublings): the shared producer gives $M\approx5.7393\times10^{55}$ g and a conditional scale $\pi GM/c^3\approx14.1592$ Byr. This is neither an observed cycle nor time remaining to turnaround; the former 24.7 Byr does not follow from these inputs.

CMB Low-$\ell$ Prediction: The finite instanton size $r_c$ stretched by $N_e \approx 53$ e-folds (calibrated to the local $H_0$) spans the present Hubble horizon by construction; the falsifiable content is the resulting deterministic infrared cutoff that suppresses CMB multipoles $\ell=2,3$. The maintained script runs a documented lite likelihood over vendored Planck-shaped arrays whose provenance is unknown — it is not the Planck likelihood and its $\Delta\chi^2$ (about $+0.9$ for the default cutoff) is descriptive only, not a Planck-fit p-value or confirmation. The cutoff does not shift the CMB-inferred $H_0$ (nvg_cmb_lowl_refit.py).

Pillar III: Regular-core geometries and information-transfer proposals

A separate Hayward-metric ansatz uses a regular de Sitter core with $\ell=\sqrt{3c^2/(8\pi G\rho_c)}\approx1.128$ km from the adopted density scale. The mass-enclosing radius $r_0=(3M/4\pi\rho_c)^{1/3}$ is distinct: $3.35$ km at $10,M_\odot$. The quoted $10,M_\odot$ example has horizons at 1.15 and 29.34 km and finite $K(0)=24/\ell^4=14.86,\mathrm{km}^{-4}$. These are properties of the chosen metric, not a solved collapse or a measured core.

Dynamical boundary: A de Sitter-like stress or a regular metric does not by itself show that collapsing matter reaches that state. The maintained action does not derive the proposed melting transition, a stable inner horizon or a unitary evolution through a bounce. Those require separate dynamical and stability calculations.

Information-transfer hypotheses: The following ideas remain proposals; metric regularity alone does not establish quantum unitarity:

  • Holographic compression: the quoted $\sim10^{32}$ factor is model bookkeeping, not a derived information-conservation law.
  • Unitary transfer: $\mathcal I_{n+1}=\mathcal U_b\mathcal I_n$ names an assumed map; its operator and dynamics are not constructed.
  • Two horizons and finite curvature do not prove the absence of information loss or inner-horizon instabilities.

Conditional echo scales: A reflective-core template gives $\Delta t_{\rm echo}\approx22$ ms for a $65,M_\odot$ benchmark, with a stated $\sim16$–$34$ ms cutoff sensitivity. The separate constant-density standing-wave toy model gives $T_1\approx42,\mu$s; the ratio of these scales is about 524. Neither the ratio nor the quoted $\sim3.6$ ms Kerr ringdown, $\sim2$ mm cutoff or $\sim10^{-15}$ K inner-horizon temperature establishes a physical $W$-mode or reflectivity. A Boltzmann factor alone does not calculate an absorbing boundary. Echo existence, amplitude and lifetime require a sourced perturbation/boundary model; they are not parameter-free consequences of the current action.

EHT scope: The historical benchmark quotes a photon-sphere deviation of $\sim-0.002%$. This metric-level sensitivity estimate is not an EHT likelihood or a proof of exact Kerr/Schwarzschild equivalence. Its assumptions must be fixed before comparison; echoes are a separate conditional channel.

Observational Status & Runtime Evidence Boundaries (May 2026)

The tables mix historical proposals, assumed scales, calibrated outputs and mathematical checks. They do not describe a single parameter-free model: the mass-budget scale, couplings, EOS choices, cosmological normalizations and extension-specific inputs have distinct provenance. For the sake of scientific rigor, the results are divided into: direct unique predictions, consistency checks (null tests), and falsifiable forecasts.

1. Runtime Comparisons and Model-Status Ledger

These rows summarize declared runtime calculations, formal identities, conditional comparisons, and forecasts; they are not an aggregate confirmation count.

Status legend: ✅ compatible with data · 📏 interval prediction · 🔭 forward prediction (no measurement yet) · ⚙️ calibration / consistency check · ⚪ null test · 📐 mathematical result (not an experimental confirmation) · ❓ conjectural · ❌ open problem / retracted · ⏳ awaiting experiment. Falsifiable rows state the measurement that would exclude the model. Statuses are per-row. The global-significance entry point computes descriptive conditional pulls but withholds any global p-value because no traceable held-out producer exists; the README table is presentation metadata, not a source of statistics. NS values below are runtime outputs of the canonical TOV chain and all comparisons are conditional/in-sample with zero independent evidence weight. Provenance note: $T_c = 157$ MeV, used across the scripts, is adopted from lattice QCD (HotQCD: $156.5 \pm 1.5$ MeV) — an input identification, not an NVG prediction, and it is deliberately excluded from the test count.

# NVG Prediction Observational Data Status
1 Historical nucleon mass-budget remainder: about 91% ($M_{\Omega,0}=859\pm8$ MeV) Computed after subtracting adopted sigma-term inputs, including $\sigma_{\pi N}\approx44$ MeV and $\sigma_{sN}\approx30$ MeV; identifying the remainder with a scalar-field scale is a model assumption ⚙️ Input convention; not an independent confirmation
2 $M_{\max} = 2.048,M_\odot$ (runtime canonical TOV chain; transition selected in-sample) PSR J0740+6620: $2.14 \pm 0.10,M_\odot$ ($-0.92\sigma$). A confirmed NS above the declared mass bound would test the chain; this comparison is conditional/in-sample, not an independent confirmation ⚙️ Conditional/in-sample
3 $R_{1.4} = 12.550$ km (runtime canonical TOV chain) NICER J0030: $12.2 \pm 0.5$ km ($+0.70\sigma$). The transition was selected using J0740/GW170817/NICER constraints, so this is conditional/in-sample with zero independent evidence weight ⚙️ Conditional/in-sample
4 Genesis Instanton $r_c \to$ e-folds bounded to $N_e \in [52.68, 53.38]$ for cycle $n=77$; the position inside the interval, $N_e = 53.08$, is set by the local $H_0$ $R_{H0} = c/H_0 \approx 1.27 \times 10^{28}$ cm; $N_e = \ln(R_{H0}/r_c)$ at $H_0 = 72.8$ km/s/Mpc (nvg_hubble_tension.py / nvg_genesis_observable.py) 📏 Interval prediction
5 NS cooling dichotomy via a direct-Urca threshold at $1.45 M_\odot$ (threshold position set by the coupling $\alpha_v$) Cas A (slow) vs Vela (fast): the two-regime cooling is reproduced (nvg_direct_urca.py) ⚙️ Calibrated threshold
6 Tidal deformability: runtime $\Lambda_{1.4} = 519.4$ (TOV + Hinderer) GW170817 declared input: $\Lambda_{1.4}=190^{+390}_{-120}$; runtime pull $+0.84\sigma$. This row is conditional/in-sample; no independent evidence weight is assigned ⚙️ Conditional/in-sample
7 Historical in-medium $\rho$ line-shape templates compare architecture A ($\approx 770$ MeV, broadening-only) and B ($\approx 735$ MeV, scalar-field pull); these are not a mass shift derived from the current source-complete branch Repository selector windows and conditional feasibility ($3\sigma$ with $\sim 3$–$4\times 10^3$ excess counts): HADES_PREREGISTRATION.md, nvg_hades_lineshape_feasibility.py; a physical test requires collaboration data and response modelling 🔭 Conditional line-shape forecast
8 Assigned cosmological density scale $\rho_c=7.09\times10^4$ MeV/fm³ Dimensional scale from the adopted mass input. The negative-density correction and torsion completion are not derived from the maintained action; an algebraic H=0 point does not validate collapse/bounce dynamics. ❓ Historical bounce ansatz
9 Hubble constant: cycle-77 turnaround horizons bound $H_0 \in [54.3, 108.5]$ km/s/Mpc ($R_{77} = r_c \cdot 2^{76}$); the mid-cycle value is $H_0 = H_{77}/\sqrt{2} \approx 76.8$ km/s/Mpc (measure-dependent center: $62$–$81$) SH0ES ($73.04 \pm 1.04$) lies within 5% of the mid-cycle value; Planck ($67.4$) within the measure spread. The IR cutoff leaves the CMB-inferred $H_0$ unchanged (quantitative re-fit: nvg_cmb_lowl_refit.py) 📏 Interval prediction
10 Surface gravitational redshift: $z_{\rm surf} \approx 0.222$ for $1.4,M_\odot$ (computed from runtime $R_{1.4}=12.550$ km) Direct measurements are currently absent; this is a forward calculation testable by STROBE-X/eXTP (nvg_ns_redshift.py) 🔭 Forward prediction
11 Historical-template instantaneous mass-shift hierarchy at $2n_0$: $\rho, \omega$ ($-20%$), $K^*$ ($-7.8%$), $\phi$ ($-2.9%$), $J/\psi$ ($-0.4%$) — light non-Goldstone mesons shift most (observable spectral shifts are smaller, per row 7) HADES, CBM (FAIR), NICA, LHC in-medium invariant-mass spectra (fair_hades_link.py) ⏳ Pending verification
12 Cosmic bounce temperature: $T_b = 432$ MeV (derived from Stefan-Boltzmann with $g_* = 47.5$) Conditional thermodynamic scale for the assigned density and $g_*=47.5$; comparing it with $T_c\approx155$–$175$ MeV supplies no observation of a bounce ⚙️ Conditional scale
13 Effective vacuum dielectric constant: $\varepsilon_{\rm eff} \approx 0.135,\varepsilon_0$ in NS cores (from $e^{-2\alpha_v f_{\rm melt}}$ with phenomenological melting parameters $\kappa$) Amplifies magnetar seed fields by $1/\sqrt{\varepsilon_{\rm eff}} \approx 2.7\times$ ⚙️ Scale estimate
14 Legacy relic calibration inversion A legacy, undocumented Omega_DM=0.268 and H0=72.8 are supplied to infer $\lambda_v$ and $m_W$; the result does not predict dark-matter abundance and corresponds to $\omega=0.14204$, 18.36% above the Planck comparison reference (nvg_relic_dark_matter.py, budget audit) ⚙️ Calibration only; no abundance prediction
15 NS core speed of sound: the quark phase follows a CSS ansatz with $c_{s}^2 = 1/3$ (conformal limit) Compatible with joint NICER+LIGO posterior limits (speed_of_sound_curve.py) ⚪ Ansatz parameter
16 First cycle duration: $\tau_1 = 5.9,\mu\text{s}$ A timescale assigned through $\rho_c\to t_b$ in the historical cosmology; no CCC/LQC boundary problem is solved by this dimensional calculation ⚙️ Conditional timescale
17 Joint NS comparison: conditional/in-sample reduced $\chi_\nu^2 = 0.684$ over 3 runtime rows (calibration target excluded) Runtime outputs $M_{\max}=2.048$, $R_{1.4}=12.550$, $\Lambda_{1.4}=519.4$ from the canonical chain; transition selected on J0740/GW170817/NICER (nvg_joint_ns_inference.py) ⚙️ Conditional/in-sample
18 Scalar Glueball mass: $M_{\rm glueball} = 2 M_\Omega \approx 1.72$ GeV Lightest scalar glueball ($0^{++}$) from the trace-anomaly excitation vs Lattice QCD $1.7 \pm 0.1$ GeV. Caveat: this is a theory-vs-lattice comparison — the experimental glueball identification remains unsettled ($f_0(1710)$ candidacy debated; BESIII's $X(2370)$ unconfirmed in other channels) ✅ Compatible with lattice (experiment unsettled)
19 Historical bounce GW template: anchor $f_{77} = 62.8$ nHz and tooth spacing computed from adopted $t_b$, adiabatic redshift and the Tolman law (primordial_gw_comb.py) $(\alpha, \beta/H)$ in the adopted recondensation ansatz place its signal at $18$–$42,\mu$Hz with $\Omega_{\rm GW} h^2 \sim 10^{-9}$ ($\mu$Ares band); the PTA-band tail is negligible — the template does not identify the NANOGrav signal with a bounce (nvg_recondensation_dynamics.py) 🔭 $\mu$Hz forward prediction
20 Strong-Field Periastron Advance & PPN Parameters NVG vacuum polarization correction is $\approx 1.6 \times 10^{-10}$ for double pulsar; Solar System PPN parameters $\gamma_{\rm PPN} = 1.0$ and $\beta_{\rm PPN} = 1.0$ exactly satisfy Cassini and LLR bounds (weak_field_ppn.py) ✅ Within Observational Limits
21 JWST SMBH Mass Spectrum (z = 6–15) A conditional growth template can be evaluated for a selected mass rung, but no machine-readable JWST object catalogue, occupation model, or selection likelihood is present ❌ Retired (missing catalogue/likelihood)
22 FRB DM Population Statistics No repeater-linked DM/magnetar-mass catalogue or population likelihood is present; the former synthetic KS comparison is retired ❌ Retired (missing catalogue/likelihood)
23 Higgsless Proton-to-Pion Mass Ratio Baryon/pion mass ratio ($M_p \approx 941.4$ MeV, $M_\pi \to 0$ in the chiral limit) anchored to $M_\Omega = 859$ MeV — standard chiral-symmetry-breaking / trace-anomaly mass generation restated in NVG variables 📐 Mass-budget/chiral-limit illustration
24 QCD Phase Diagram Vacuum Melting Vacuum melting boundary at $T_{\rm melt}(\mu_B) = T_b (1 - (\mu_B/1200)^4)^{0.25}$ MeV with $T_b \approx 432$ MeV at $\mu_B=0$ ❓ Assumed phase-boundary template
25 PTA-LIGO O4 SGWB Cross-Correlation Primordial SGWB turn-down at $f &gt; 145$ nHz predicts high-frequency amplitude $\Omega_{\rm GW}(100\text{ Hz}) &lt; 10^{-15}$ 🔭 Conditional spectral template; no joint likelihood
26 NICER radii near $1.4,M_\odot$ (J0437, J0614) Runtime canonical chain gives $R \approx 12.55$ km at $1.4,M_\odot$; J0437 $11.36 \pm 0.8$ km is a $+1.49\sigma$ pull, while the edge-on J0614-3329 comparison is a separate observational check. These comparisons are conditional/in-sample; no independent evidence weight is assigned (nvg_ns_nicer_joint_audit.py) ⚙️ Conditional/in-sample
27 CMB Temperature $T_{\rm CMB} = 2.725$ K The result scales linearly with the arbitrary normalization $a_{\rm bounce} = 1$ cm, so the numerical match carries no predictive content; only the adiabatic scaling form is model content (cmb_temperature.py) ⚪ No predictive content
28 Baryon asymmetry A bounded-temperature no-go argument is retained as a formal result, but no baryon-number/CP-violating source, washout network, or independent abundance likelihood is implemented; the former empirical cogenesis closure is retired (nvg_baryon_asymmetry.py) 📐 Formal no-go; empirical closure retired
29 Post-merger peak frequency $f_{\rm peak} \approx 2.42$ kHz Derived from runtime $R_{1.6}\approx12.65$ km with the stated numerical-relativity fit; no post-merger signal observed yet — testable by LIGO O5 / Einstein Telescope 🔭 Forward prediction
30 Quiescent temperature of SGR 1935+2154 With the heating luminosity set near the observed value and a typical spot size, $T_{\rm spot}$ follows from Stefan-Boltzmann by construction; the VMF content is the qualitative Urca dichotomy (light magnetar keeps a hot spot) (sgr_temperature.py) ⚙️ Consistency illustration
31 LiteBIRD B-mode Polarization Cutoff predicted tensor-to-scalar ratio $r(l)$ drops below 0.001 at large scales $l &lt; 10$ (litebird_prediction.py) 🔭 Assumed cutoff forecast
32 $S_8$ structure growth Open problem. The maintained calculation gives $S_8 \approx 0.851$ ($4.4\sigma$ from the weak-lensing input): the input-dependent $w_0/w_a$ growth shift moves away from the lensing value. The retired empirical IDE drag-factor resolution claim is not evidence (nvg_s8_tension_check.py) ⚠️ WORSENS (not an independent prediction)
33 NANOGrav SGWB Retired attribution. The maintained PBH abundance cross-check leaves a large amplitude deficit and the bounce calculation radiates in the $\mu$Hz band; NVG supplies no mechanism for the PTA signal (nvg_nanograv_background.py) ❌ Retired (no mechanism)
34 Higgs boson mass shift $\delta m_H \approx 4.4$ MeV Propagator mass shift $\delta m_H = g_s^2 W_0^2 / 2m_H$ induced by scalar QCD vacuum condensate, within LHC experimental limits (higgs_mass_shift.py) ⚙️ Assumed-coupling scale; no collider likelihood
35 PBH ladder / profile peak The discrete mass ladder is the declared $0.38\times4^N,M_\odot$ mapping; the calibrated profile peak ($N=-21$, $\sim 10^{20}$ g) is in the asteroid-mass window. However the current profile is normalized only as a shape: it has no formation solver or absolute $\omega_{\rm PBH}$, and the separate PBH-B seed trace is only a calibration, so a unified dark-matter composition is not closed (pbh_dark_matter.py, budget audit) ⚙️ Ladder mapping; abundance unnormalized
36 White Dwarf cooling age shift Predicted effect $\Delta t/t \approx -1.8 \times 10^{-6}$ is far below Gaia/SDSS age uncertainties ($\sim 5%$) — indistinguishable from zero (wd_cooling.py) ⚪ Null test (unobservably small)
37 Neutron star core g-modes Runtime WKB forecast over an assumed composition grid gives periods in a 50–150 ms sensitivity band; no detector likelihood or confirmation is available (nvg_ns_g_modes.py) 🔭 Forecast (assumed composition)
38 SN1987A dark-photon sensitivity scan The current reference scan includes a 19.8% mass-drop point with $L_A=8.265\times10^{55}$ erg/s, above the stated Raffelt reference. Without a sourced SN1987A likelihood and validated transport model, it establishes no mass-drop bound or limit status (nvg_dark_photon_observables.py) ⚙️ Conditional scan (no evidence)
39 de Sitter core standing waves Constant-density standing-wave toy model with $T_1\approx42,\mu$s for a $65,M_\odot$ benchmark; no matched physical $W$-mode, detector waveform or echo likelihood (ds_core_oscillations.py) 🔭 Conditional toy spectrum
40 Conditional strong-CP potential The minimum of an added $\chi(1-\cos\theta)$ term is at $\theta=0$ modulo $2\pi$. Identifying this phase with $\bar\theta_{\rm QCD}$ is a separate physical postulate, not a result of the maintained Higgs action. (strong_cp_solution.py) 📐 Conditional potential identity
41 Arrow of Time from Topology Illustration of a selected phase winding $Q=1$ and entropy-growth prescription. Winding sign alone does not derive a statistical H-theorem or its entropy budget. (arrow_of_time.py) 📐 Synthetic illustration
42 Double-slit interference from vacuum hydrodynamics $ \psi
43 LZ 248-keV nuclear-recoil screen An exact two-body screen with a derived bound-SHM envelope v_max<=824.355 km/s excludes an elastic path for the bound action's 0.783-GeV vector and 1.245-GeV scalar modes, as well as the legacy 0.938-GeV χ and 1.229-GeV W proxy; a new elastic candidate must be at least 70.659 GeV. The action does not establish any of these light modes as a cold halo population. This is a necessary condition, not a likelihood or exclusion of all NVG variants (nvg_lz_248kev_kinematic_audit.py, Russian audit) ⚙️ Kinematic screen; LZ is not explained by the current model
44 Bell-CHSH correlations in the condensate The correlation form $E = -\cos(a-b)$ is postulated (preprint Limitations: conjectural); by Bell's theorem a local derivation is impossible — a shared phase read out locally is a hidden variable giving $S \le 2$, so any derivation from the action must contain an explicitly nonlocal or contextual element. Resolved as a dichotomy (nvg_bell_from_action.py): a classical spacetime $\theta$ of any dynamics gives $S \le 2$ (verified by exhaustion) — excluded by loophole-free experiments; the quantized W-field yields the configuration-space $\theta$ automatically (nvg_bell_contextual.py reproduces $S = 2\sqrt{2}$) but then QM is the input. The quantum block is a consistent hydrodynamic representation, not a derivation; its falsifiable content is $S(T &gt; T_c) \to 0$ (row 51) 📐 Resolved: representation, not derivation
45 Heisenberg uncertainty $\Delta x,\Delta p\ge\hbar/2$ is the standard Fourier/Cauchy–Schwarz identity for the stated wavefunction and momentum definitions. Demonstrating it does not derive quantum dynamics from the classical action. 📐 Standard identity; synthetic examples
46 Phase-thermalization illustration The toy estimate $\tau=\hbar/(k_BT)\approx25$ fs at 300 K assumes a reservoir. It does not derive the Born rule from a Boltzmann weight or select a measurement outcome. (wavefunction_collapse.py) ❓ Measurement mechanism unclosed
47 Neutrino mass from θ-seesaw Separate scale ansatz $m_\nu=(\alpha_s/4\pi)^2v_{\rm EW}^2/f_a$ with adopted $f_a=1.07\times10^{11}$ GeV, oscillation inputs and a standard axion mass relation gives quoted scales $m_3\approx50.3$ meV and $m_\theta\approx53$ μeV. The lepton-number-violating operator/matching is not derived from the current action; comparing a mass sum with a cosmology-dependent bound is conditional. (neutrino_seesaw.py) ❓ Extension-specific scale ansatz
48 Hawking-formula illustration Computes the standard $T_H=\hbar c^3/(8\pi GMk_B)$ and area entropy with a proposed stochastic-phase interpretation. No radiation spectrum or quantum-gravity completion is derived from the maintained classical action. 📐 Synthetic illustration
49 Fine structure constant: physical-cutoff interpretation Recomputed with $W_0 = 859$ MeV: $1/\alpha(M_Z) = 126.6$ is standard 1-loop QED running (independent of $W_0$; 2-loop hadronic terms close the gap to $127.95$). The NVG content is interpretational — the UV cutoff is the physical condensate scale and $\alpha_{\rm bare} = 1/132.8$ is inferred from the measured $1/137$, not derived (fine_structure.py) ⚙️ Reinterpretation (no independent prediction)
50 Antimatter as $\theta \to -\theta$ C-conjugation and phase reversal are formal identities. The maintained baryogenesis calculation is retired because no baryon-number/CP-violating source dynamics or washout likelihood is implemented (nvg_baryon_asymmetry.py) 📐 Formal identity; baryogenesis retired
51 🔥 RHIC Bell Test — entanglement death $S_{\rm CHSH}(T &gt; T_c = 157\text{ MeV}) \to 0$ is a future protocol with no current detector data; it is a forecast, not a confirmation (rhic_bell_test.py) ⏳ Awaiting RHIC BES-II
52 Homochirality from QCD topology A QCD-to-molecular PVED coupling, reaction kinetics, and independent chirality likelihood are absent; the former $&gt;99%$ closure is retired (nvg_dna_chirality.py) ❌ Retired (missing coupling/likelihood)
53 Primordial Gravitational Waves (BICEP/Keck) Historical Genesis dimensional estimate $r\sim(E_{\rm bounce}/E_{\rm Planck})^4\sim10^{-76}$. The reported limit $r&lt;0.033$ is external context; without derived primordial perturbations and a likelihood the estimate neither confirms a bounce nor predicts measured B-modes. ❓ Conditional dimensional estimate
54 Critical Horizon Mass The quoted $M_{\rm crit}\in[0.97,1.01],M_\odot$ follows from the adopted $859\pm8$ MeV mass-budget input and the Hayward-family ansatz, with $M_{\rm crit}=\frac9{8\sqrt{2\pi}}M_{\rm Pl}^3/M_{\Omega,0}^2$. This is a conditional horizon threshold, distinct from the astrophysical $2$–$5,M_\odot$ mass gap; it does not establish the formation or existence of horizonless remnants. (nvg_mcrit_chandrasekhar.py) (nvg_mcrit_family.py) 🔭 Conditional metric prediction
55 Hawking Temperature Ceiling For the stationary Hayward ansatz with $l=1.128$ km, the quoted temperature reaches $T_{\max}=3.6\times10^{-8}$ K at $M=1.29,M_\odot$ and tends to zero at $M_{\rm crit}$. Extending this to cosmological lifetimes or an allowed $10^{10}$–$10^{17}$ g dark-matter window requires formation, transport and abundance calculations. This is not a demonstrated exemption from observational limits. (nvg_hayward_evaporation.py) (nvg_pbh_dark_matter.py) 🔭 Conditional stationary-metric calculation

5. Inner-Horizon Saturation & Area Deficit: Scanning the horizon roots of the Hayward metric as $M \to \infty$ shows that the inner horizon $r_{\rm in}$ asymptotes to the mass-independent vacuum length scale $l = \sqrt{3c^2 / (8\pi G \rho_c)} \approx 1.128$ km, fixed by the QCD core density $\rho_c$. The inner horizon therefore carries a fixed Bekenstein–Hawking area: $$ S_{\rm in}(M \to \infty) \to \frac{k_B c^3 (4\pi l^2)}{4G\hbar} \approx 2.2 \times 10^{76} \text{ bits} $$ This is a property of the regular core, not a new thermodynamic reservoir: it is a mass-independent constant, negligible next to the outer-horizon entropy $S_{\rm out} \approx S_{\rm Sch} \propto M^2$. By Vieta's formulas on the dimensionless horizon cubic $z^3 - z^2 + \epsilon^2 = 0$ ($e_1 = 1$, $e_2 = 0 \Rightarrow \sum z_i^2 = 1$), the outer+inner horizon area falls short of Schwarzschild by exactly $\Delta A = 4\pi r_{\rm Sch}^2, z_{\rm phantom}^2$, where $z_{\rm phantom} &lt; 0$ is the third (unphysical, negative) root. This is a compact algebraic expression for the area deficit — not a physical conservation law, and unrelated to the unitarity of Hawking evaporation or the information paradox.

2. Theoretical interpretations and unresolved mechanisms

These entries record model interpretations and possible research directions. They do not establish solutions of the underlying physical problems.

Area NVG Interpretation Impact on Physics
Origin of Magnetars The quoted reconstructed correlation $R\approx0.51$ and $\sim7.4$ field factor belong to a proposed amplification model. Reconstruction, coupling and saturation assumptions require independent tests; no resolution of the $E_{\rm rot}\sim10^{52}$ erg SNR tension is established.
PBH Mass Spectrum A conditional ladder maps assumed bounce-mass growth per cycle from $10^{-14} M_\odot$ to $10^6 M_\odot$; under the corrected Tolman law the rung spacing is $\times 2$ (denser than the earlier $4^N$; nvg_tolman_law_derivation.py). This scale map does not supply formation, abundance or object-level JWST likelihoods; it does not establish a dark-matter or early-BH explanation.
JWST SMBH Seeding A conditional PBH mass-rung growth template can be evaluated for a selected cycle. Object-level JWST seeding is retired: no machine-readable catalogue, occupation model, or selection likelihood is present.
Joint Multi-Messenger Inference Conditional/in-sample reduced $\chi^2_\nu = 0.684$ over three runtime structural rows; cooling is a calibration target and excluded. The transition was selected using J0740, NICER, and GW170817 inputs, so this is descriptive and carries zero independent evidence weight.
Emergent Quantization & Duality Madelung variables rewrite a wavefunction using amplitude and phase; the quantum potential $Q(x)$ is part of that formulation. A representation of assumed quantum dynamics is not a derivation of the Schrödinger equation from the maintained classical action.
Observer Effect Phase thermalization and topological reconnection are proposed illustrations. No Born-rule derivation, outcome-selection law or resolution of the measurement problem is supplied.

3. Consistency Checks (Null Tests)

NVG must not break General Relativity where it works reliably. These items summarize formal/process checks and declared comparisons; they do not prove empirical agreement or replace a detector likelihood.

Physical Aspect NVG Prediction Observational Data
EOS Causality $c_s^2=1/3$ is assigned in a CSS branch, not a universal bound on every EOS here The causal condition $c_s^2\le1$ is checked for each specified EOS; this is not itself a NICER/LIGO likelihood
Gravitational Waves $\gamma_{\rm PPN} \equiv 1$, $c_T = c$ Cassini, GW170817: $
External BH Metric A chosen exterior/regular-core metric provides a formal comparison No independent merger-waveform likelihood establishes exact Kerr/Schwarzschild equivalence
Tidal Deformability Runtime canonical $\Lambda_{1.4} = 519.4$ (conditional/in-sample) GW170817 declared input: $\Lambda_{1.4} = 190^{+390}_{-120}$; no independent confirmation is claimed
Dark Energy (DESI) Retired mechanism. The mass-melting derivation of $(w_0, w_a)$ was today-anchored; in the CMB-anchored frame it improves on $\Lambda$CDM by only $\Delta\chi^2 \approx 1$ against DESI DR2 while raising $S_8$ to $\approx 0.86$–$0.90$ and $\Omega_m$ to $0.35$ — no parameter region satisfies DESI and weak lensing together (nvg_desi_s8_joint_map.py). NVG currently predicts $w = -1$; the DESI $w_0 w_a$ preference, if confirmed, is unexplained by the model — an open problem
BH Shadows (EHT) Historical $\sim10^{-70}$ estimate uses assumptions distinct from the macroscopic-core example above Not a sourced EHT fit or a portable bound for the source-complete action
Lorentz Invariance $0.0$ vacuum dispersion and birefringence GRB 041219A / 090510 (Fermi/Swift)
QNM Ringdown Historical $\sim10^{-105}$ shift estimate from a separate cutoff choice No derived perturbation spectrum or detector likelihood establishes this number for the maintained macroscopic core
CMB $P(k)$ Spectrum Assumed cutoff approaches the baseline at high multipoles The maintained lite comparison is not the Planck likelihood and cannot establish an exact data match
BBN and Recombination Historical estimates $\delta H/H\sim10^{-13}$, $\delta r_s/r_s\approx0$ A small correction estimate does not replace nucleosynthesis/recombination calculations or validate the quoted $r_s=147.09$ Mpc

4. Falsifiable Forecasts (Awaiting Verification)

The highest-risk testable forecasts of the theory. Future measurements can constrain or falsify these channels; none is a current confirmation.

Direction Forecasted Value / Interpretation Experiment / Current Status
CMB Anomaly $\ell&lt;10$ Assumed Genesis cutoff is a candidate template; cosmic variance is not eliminated No traceable Planck likelihood establishes its origin; future data could compare specified alternatives
In-medium $\rho$ line shape Preregistered architecture selector: fitted in-medium pole $\geq 755$ MeV $\Rightarrow$ arch. A; $715$–$755$ $\Rightarrow$ arch. B; $&lt; 715$ $\Rightarrow$ both excluded (HADES_PREREGISTRATION.md) HADES in-medium analysis announced for 2026–27
Gravitational Echo Echo spacing $\Delta t \approx 0.022$ s ($65,M_\odot$) with decay amplitude $A_n \propto (1 - \mathcal{T})^n$ Searched O1–O4b open data (coherent time-slide, 89 events): no evidence, upper limit set (echoes $\gtrsim 0.3\times$ the GW150914 signal excluded). A naive O4 stack first showed a spurious $2.4\sigma$ excess — resolved as primary-signal (ringdown) leakage via a gap-tooth discriminant.
NS Gravitational Redshift $z_{\rm surf}(1.4 M_\odot) \approx 0.222$ (runtime $R_{1.4}=12.550$ km; conditional chain) STROBE-X / eXTP (future X-ray observatories)
Post-merger $f_{\rm peak}$ $f_{\rm peak} \approx 2420$ Hz from runtime $R_{1.6}\approx12.65$ km LIGO O5 / Einstein Telescope (future detectors)
Vacuum melting exponent $\beta$ $W\sim(1-\rho/\rho_c)^{\beta}$: the $\sqrt{;}$-law is mean-field $\beta=1/2$, but a QCD-anchored 3-D critical point gives $\beta=0.326$ (Ising) or $0.349$ (XY) — reshaping the bounce term to $(1-\rho/\rho_c)^{2\beta}$ RHIC BES-II net-proton cumulant scaling near $T_c\approx157$ MeV — existing data. Derivation & consequences: NVG_MELTING_LAW_ANALYSIS.md

External Verification Outreach

The repository records an outreach proposal to the HADES Collaboration (GSI/FAIR, Prof. Dr. J. Stroth) concerning Au+Au and Ag+Ag dielectron data; this is not a collaboration result or endorsement. Historical model values $M_\rho^*\approx621$ MeV at $2n_0$ and an integrated-template feature near $712$ MeV are not measured peak positions. A meaningful test requires the full excess line shape, fireball evolution and detector response.

5. Quantitative Comparisons and Evidence Boundaries

Maintained runtime entry points expose conditional comparisons, calibrations, forward models, and retired claims against declared data inputs; a process run is not observational verification:

  • Hubble Constant ($H_0$): Cycle-77 turnaround horizons bound $H_0 \in [54.3, 108.5]$ km/s/Mpc with a mid-cycle value $\approx 76.8$ (within 5% of SH0ES); the point value $72.8$ is set by the local measurement, and a quantitative CMB re-fit shows the Genesis IR cutoff does not shift the CMB-inferred $H_0$ — the tension is not resolved by this mechanism (verification/nvg_cmb_lowl_refit.py).
  • Weak Lensing $S_8$: Open problem. The maintained calculation gives $S_8 \approx 0.851$ ($4.4\sigma$ from lensing): the input-dependent $w_0/w_a$ shift slightly increases growth, and the former empirical drag-factor resolution route is retired (verification/nvg_s8_tension_check.py).
  • CMB Low-$\ell$ Suppression: The maintained calculation reports a descriptive lite-likelihood comparison over vendored, unknown-provenance Planck-shaped arrays (not the Planck likelihood): $\ell_c = 3.42$ and default $\chi^2$/gain values are model bookkeeping, not a Planck p-value or independent confirmation. The cutoff shape comparison remains descriptive (verification/nvg_cmb_lowl_refit.py, verification/nvg_cutoff_shape_derivation.py).
  • DESI 2024 Dark Energy $w(z)$: Retired claim. The mass-melting $(w_0, w_a)$ derivation was frame-dependent: CMB-anchored, it yields effective $(-0.813, -0.909)$ — a marginal $\Delta\chi^2 \approx 1$ over $\Lambda$CDM — while pushing $S_8$ to $\approx 0.86$–$0.90$; the joint map excludes the whole $(\beta, a_{\rm on})$ grid (verification/nvg_desi_s8_joint_map.py). NVG's dark sector currently predicts $w = -1$, and the DESI dynamical-DE hint stands as an open challenge to the model.
  • GW170817 Tidal Deformability: The runtime canonical EOS yields $\Lambda_{1.4}=519.4$ (and a conditional binary calculation), compared with the declared GW170817 interval $[70,720]$. The transition was selected on this constraint, so no independent confirmation is claimed.
  • Young Neutron Star Cooling: The maintained route exposes a calibrated Direct-Urca threshold, but no independent cooling-population likelihood is implemented; the old object-level match is not evidence.
  • JWST Early SMBH Seeding: A mass-rung growth template remains available, but object-level JWST seeding is retired pending a machine-readable catalogue, occupation model, and selection likelihood.
  • Pulsar Population Dichotomy: The former ATNF/mock-population claim is retired; no mass/age/luminosity likelihood is present (verification/nvg_pulsar_population_test.py).
  • GW Echo Matched Filtering: The maintained route computes a real-GWTC mass-only forward delay; no strain likelihood or matched-filter detection claim is made (verification/nvg_new_directions_verification.py).
  • LiteBIRD B-mode Polarization: Predicts tensor-to-scalar ratio $r &lt; 0.001$ at CMB scales ($\ell &lt; 10$) due to the Genesis cutoff, serving as a template check for the 2032 LiteBIRD mission (verification/nvg_litebird_prediction.py).
  • NICER PSR J0437-4715 Radius: The runtime canonical radius is $R\approx12.55$ km, a $+1.5\sigma$ conditional pull against the 2024 NICER measurement ($11.36 \pm 0.8$ km at $1.418 M_\odot$). The transition was selected in-sample; this is not an independent confirmation (verification/nvg_nicer_j0437_check.py).
  • NANOGrav 15yr SGWB: Retired claim. The two-population analysis (verification/nvg_pbh_two_population.py) shows the JWST-calibrated heavy-PBH population falls $\sim 1{,}700\times$ short of the NANOGrav strain, and the bounce radiates at $18$–$42,\mu$Hz — NVG offers no mechanism for the PTA signal.
  • Hubble Constant (interval form): The cycle-quantized horizon chain ($n=77 \to N_e \in [52.68, 53.38] \to H_0$) gives the interval and mid-cycle values above; note that $N_e = 53.08$, the CMB low-$\ell$ cutoff scale and the point $H_0$ all trace to the SAME single calibration against the local $H_0$ — one fitted parameter, not three independent confirmations (verification/nvg_hubble_tension.py).
  • SGR 1935+2154 FRBs: Computes a mass-to-rate sensitivity scaling; no burst-rate catalogue or population likelihood is implemented, so the $&gt;3\times$ contrast is not an observed confirmation (verification/nvg_sgr_frb_rate.py).
  • S8 (duplicate of the bullet above): see the honest accounting — computed $S_8 \approx 0.851$, $4.4\sigma$ from lensing, open problem (verification/nvg_s8_tension_check.py).
  • CHIME Repeating FRBs: Retired pending a repeater-linked DM/magnetar-mass catalogue and defensible population likelihood; no synthetic p-value or confirmation is reported (verification/nvg_chime_frb_check.py).
  • LIGO O4 Echo Candidates: Predicts echo delays in the $0.021 - 0.024$ s range for massive O4 events (GW230518, GW230615, GW230922, GW231215) using regular core geometries (verification/nvg_ligo_o4_echo_candidates.py).
  • Advanced Calculations: Emits a runtime evidence-status ledger for formal/forward rows and explicitly retired JWST, FRB, PTA, and neutrino claims; a process run is not observational verification (verification/nvg_advanced_calculations.py).
  • Vacuum Melting Law $W(\rho)$ — Identifiability & Critical Exponent: A focused, reproducible study of what the melting law is actually measured by, using the framework's own forward models (NVG_MELTING_LAW_ANALYSIS.md). The deep-core identifiability study uses an alternate dated calibration and is descriptive only (zero independent evidence weight); it must not be confused with the runtime canonical chain. The cosmological $\sqrt{1-\rho/\rho_c}$ law is inert at NS density, while a QCD-anchored 3-D critical point gives $\beta\approx0.326$ (verification/nvg_melting_freeform_beta.py, verification/nvg_melting_identifiability.py, verification/nvg_melting_exponent.py).

6. Additional Calculations (August 2026)

A maintained set of scripts in verification/ computes formal identities, conditional model outputs, and forward forecasts. Each entry point exposes its evidence boundary; a successful process run is not an observational confirmation.

Evidential-strength hierarchy (audit without stretching)

Per the contract NVG_RESEARCH_CONTRACT.md (SPEC-v2), compatibility with data is never labelled “proof”; the tiers below are the maximum an honest audit may claim:

Tier Content Basis
I. Exact identities within definitions $\rho_c r_c^2=3c^2/8\pi G$, $M_1=c^3t_b/(2G)$, $T_b/M_\Omega=(30/\pi^2g_*)^{1/4}$ and $M_{\rm crit}=(9/8\sqrt{2\pi})M_{\rm Pl}^3/M_\Omega^2$ close algebraically under their definitions and adopted inputs, including $M_\Omega=859\pm8$ MeV Algebra and units; not measurements of a bounce or field
II. Conditional extension maps The separate $\theta$-seesaw ansatz quotes $m_\theta=53.2$ μeV, $m_{\nu_3}\approx50$ meV and $\sum m_\nu=63.3$ meV using $f_a=1.07\times10^{11}$ GeV and additional standard inputs Shared parameter dependence is not independent evidence; no matching to the source-complete action is supplied
III. Conditional compatibilities $2M_\Omega$ and the scalar glueball (lattice QCD), $M_{\rm crit} = 0.992,M_\odot$ vs the absence of sub-solar horizons in GWTC, Cas A/Vela bimodality, and the runtime canonical $\Lambda_{1.4}=519.4$ comparison declared data inputs; NS chain selected in-sample, with zero independent evidence weight (SPEC-v2 C3)
IV. Calibrations (not evidence) $H_0 = 72.8$, Direct Urca threshold $1.45,M_\odot$, EOS shape parameters one fitted input per block
V. Conjectures (CONJECTURED) the $m_a \leftrightarrow \rho_{\rm DE}$ link via $N_e$ (see the new table row) ansatz + shared $H_0$ calibration (reverse-solution structure, SPEC-v2 rejection boundary item 2)

Algebraic identities check the stated definitions; conditional maps check their chosen assumptions. Neither is empirical confirmation. The triple-hierarchy identities (nvg_dual_hierarchy_identity.py) also use calibrated Hubble input, so their closure is a consistency check.

Script Result Status
nvg_anchor_identities.py 6 closed identities from the single input $M_\Omega$: $\rho_c r_c^2 = 3c^2/8\pi G$ (precision $2\times10^{-16}$), $M_1 = c^3 t_b/(2G) = 0.382,M_\odot$, $T_b = 432.0$ MeV, $M_{\rm crit} = 0.992,M_\odot$, bare Planck scale $M_{\rm Pl}^3/M_\Omega^2 = 2.21,M_\odot$ PASS + $S_{\rm GH}$ audit
nvg_cmb_birefringence.py Cosmic birefringence from $\theta F\tilde F$: $\beta = 0.033°$ per unit $\gamma_{\rm topo}\Delta\theta$; static branch $\beta=0$ compatible with Planck/ACT; rolling branch bounded at $|\gamma_{\rm topo}\Delta\theta| &lt; 7.2$ forward null test (LiteBIRD $\sigma\sim0.03°$)
nvg_moment_of_inertia_j0737.py Hartle slow-rotation exploratory calculation; its alternate EOS outputs are dated calibration diagnostics, not the maintained canonical chain zero independent evidence weight; future J0737A measurement remains a forecast
nvg_theta_fifth_force.py $\lambda_\theta = 3.72$ mm; the pseudoscalar monopole channel is identically zero (null prediction for Eöt-Wash); the spin-dipole channel places $f_a = 1.07\times10^{11}$ GeV at the edge of current bounds tension diagnostic
nvg_neutrinoless_dbeta.py $\theta$-seesaw: $\sum m_\nu = 63.3$ meV < 72 meV (DESI DR2); $m_\beta = 9.5$ meV; $m_{\beta\beta} \in [0, 6.4]$ meV — below LEGEND-1000/nEXO reach forward null test
nvg_spin_limits_rmodes.py Exploratory fork-B Kepler/r-mode limits (dated alternate calibration); these outputs are not the maintained canonical NS chain descriptive diagnostic; zero independent evidence weight
nvg_theta_superradiance.py $\theta$-mode superradiance band: $M_{\rm BH} \in [5.0\times10^{-7}, 1.3\times10^{-6}],M_\odot$ (~0.3 Earth masses); closest $4^N$ ladder rung: $N=9$ (1.41× band center); horizonless remnants: channel closed forward null test
nvg_tidal_heating_null.py Tidal heating: GW phase deficit ~32 cycles (EMRI, LISA) for a Kerr BH vs 0 for a horizonless remnant forward null test
nvg_de_axion_crosscheck.py Cross-check against the dark-dimension window (0.2–100 μm): $\Lambda_{\rm DE}^{1/4} = 2.28$ meV, window KK masses 2 meV–1 eV; NVG pseudoscalar Compton radii ($R_a = 23.5$ mm, $R_\theta = 3.71$ mm) miss the window by ×235–×3710 → geometric identification REFUTED; internal ansatz sensitivity $d\ln m_a/d\ln\rho_{\rm DE} = -2/N_e = -3.77%$ with an inverse anchor ($m_a$ to 1% → $H_0$ to ±0.18 km/s/Mpc); NVG haloscope band (μeV) and the KK tower band (meV–eV) are disjoint CONJECTURED diagnostic (SPEC-v2)
nvg_dual_hierarchy_identity.py Quad-hierarchy identity: $\rho_c r_c^2 = \rho_{\rm crit}R_{H0}^2 = 3c^2/8\pi G$ closes density ($\rho_c/\rho_{\rm DE} = e^{2N_e}/\Omega_{\rm DE} = 1.85\times10^{46}$), entropy ($S_{\rm now}/S_{\rm gen} = 4^n$), mass ($M_U = M_1 2^n = 4.30\times10^{22},M_\odot$) and time ($t_{H0}/t_b = e^{N_e}$, precision $2\times10^{-15}$) with the single number $e^{N_e} = R_{H0}/r_c$ at $n = N_e/\ln2 = 76.58$; audit of item 15: "77.2" = $\log_4(2.6\times10^{122}/10^{76}) = 77.09$ from rounded anchors, "±0.3" = $\ln2/2$ (cycle-interval half-width; true QCD sensitivity ±0.013) closed identity (calibrated $H_0$)
nvg_ns_mass_bound.py Parameter-free dimensional mass scale $M_{\rm Pl}^3/M_\Omega^2$ and its live-data comparison; this bound is separate from the runtime canonical TOV chain and carries its own declared assumptions registered bound diagnostic; do not combine with fork-B or count as independent NS evidence
nvg_sigma_mnu_corner.py The cornered $\theta$-seesaw prediction $\Sigma m_\nu = 59.0$ meV (minimum of normal ordering, $m_1\approx0$) vs bounds encoded in the script: Planck UL 120 (margin +61), DESI DR1 UL 72 (margin only +13 meV), disputed DESI DR2 $-75\pm51$ (pull 2.6$\sigma$); CMB-S4 forecast $\sigma\sim15$ meV — a $\sim4\sigma$ exclusion or conditional agreement, not identification of the $\theta$ sector; falsifier: a robust $\Sigma&lt;45$ meV dated-input sensitivity diagnostic
nvg_katrin_mbeta.py Kinematic mass $m_\beta$: the PMNS-weighted observable $= 8.9$ meV (minimal NO) — correcting the earlier 29 meV (equi-weighting $m_3/\sqrt3$ is NOT the KATRIN observable); KATRIN's 200 meV design reach is a factor $\sim$20 away — honestly INSENSITIVE; falsifier: a robust $m_\beta &gt; 20$ meV excludes the sector (IO floor 49.2 meV); two-sided test only with Project 8 ultimate ($\sigma\sim10$ meV) registered one-sided falsifier
nvg_echo_o4_observers.py Observer card for the four O4 echo candidates (GW230518/230615/230922/231215): echo spacing $20.0$–$23.9$ ms (remnant-mass systematic $\times0.95$ included), carrier $f_{\rm QNM} = 245$–$278$ Hz, damping $\tau = 3.3$–$3.7$ ms, 14–16 pulses per comb; search protocol consistent with the repo pipeline observer card

Historical conditional test proposals for separate extension sectors (not predictions established by the current source-complete action): (i) moment of inertia of J0737A — orbital precession of the double pulsar will measure $I$ at ~10%, discriminating stiff from soft EOS; (ii) $m_{\beta\beta} &gt; 10$ meV excludes the minimal $\theta$-seesaw; (iii) any monopole fifth-force signal at 3–4 mm excludes the $\theta$ sector; (iv) a confirmed cosmic birefringence $\beta \neq 0$ at LiteBIRD precision pins $\gamma_{\rm topo}\Delta\theta$; (v) superradiance and tidal heating provide population tests of horizonless remnants; (vi) a detection in the μeV band vs the meV–eV band discriminates NVG from dark-dimension KK dark matter, and DESI $w(z) \neq -1$ at growing significance is the sharpest live falsifier of the dark sector; (vii) KATRIN/Project 8: $m_\beta = 8.9$ meV (PMNS-weighted; the earlier 29 meV corrected — equi-weighting $m_3/\sqrt3$ is not the KATRIN observable) — KATRIN is honestly insensitive (factor $\sim$20), but any robust $m_\beta &gt; 20$ meV excludes the $\theta$-seesaw (IO floor 49.2 meV), and the two-sided test belongs to Project 8 ultimate ($\sigma\sim10$ meV); (viii) audit of the PBH ladder $M_N = 0.38\times4^N,M_\odot$: the shared ×4 spacing is structural (horizon masses), but the peak rung $N=-21$ is calibrated to the asteroid window (formation epoch $t = 8.5\times10^{-19}$ s, $T\approx642$ TeV matches no natural scale); the closure hypothesis $\sqrt{m_{\rm Pl}M_1}$ is REFUTED (×1.3×10⁶); the peak is Hawking-stable with a $\sim10^{18}$ lifetime margin, evaporation boundary at $N=-31$.


Analog optical demonstration

The historical optical exercise encoded selected NVG/VMF formula shapes as input signals and reported analog-channel measurements (γ=1.56, DR=86:1, SNR=38). These are input/output transfer comparisons, not measurements of nuclear matter or cosmological evolution.

Test NVG Prediction Optical Result Correlation
Meson hierarchy $\rho &gt; K^* &gt; \phi &gt; J/\psi$ $-20.0%,;-7.8%,;-2.9%,;-0.4%$ $-20.0%,;-8.8%,;-2.3%,;0.0%$ $r = 0.997$
Melting curve $W(\rho)=\sqrt{1-\rho/\rho_c}$ $\sqrt{1-x}$ vs linear $\sqrt{1-x}$: $r=0.983$; linear: $r=0.896$ $r = 0.983$
Modified Friedmann $H^2 \propto \rho(1-\rho/\rho_c)$ Parabola, zeros at $0$ and $\rho_c$ Encoded central maximum and endpoint zeros reproduced $r = 0.983$
Tolman growth law Conditional scaling check: adopting $a_t \times 2$ and $S_{\rm GH}\propto a_t^2$ gives $S_{\rm GH}\times4$; with $M\propto a_t$, $M\times2$, whereas $M\times4$ would give $S_{\rm GH}\times16$ (nvg_tolman_law_derivation.py) Algebraic consistency, not an optical measurement of cycles —

The quoted optical difference $\Delta r=0.087$ concerns two encoded shapes, $\sqrt{1-x}$ and a line. It does not select the physical EOS or derive the encoded melting law. Physical scales and parameters retain their separate adopted/calibrated provenance.

Historical hypothesis checks: (i) the proposed “golden angle” / $\theta\approx52.8°$ is convention-dependent (49.5°–54.4°), and an irrational winding is incompatible with the imposed integer charge $Q=1$; this does not prove a physical arrow of time; (ii) the adopted recondensation/GW template places its signal at $\mu$Hz rather than identifying NANOGrav with a bounce; the present action does not establish that bounce dynamics; (iii) the proposed de Sitter-core explanation of $S_8$ fails the repository's capacity estimate by $\sim45$ orders of magnitude.

Scope: this analog exercise checks selected signal shapes in its apparatus. It neither validates the physical model nor proves its complete mathematical structure; independent physical tests require appropriate data and a fully specified comparison model.


Repository Structure

NVG-Research/
├── article/
│   ├── NVG_SCIENTIFIC_ARTICLE_EN.md        # Pillar I: Dense Nuclear Matter (VMF)
│   ├── NVG_SCIENTIFIC_ARTICLE_RU.md        # Russian version of Pillar I
│   ├── NVG_CYCLIC_COSMOLOGY_PREPRINT_EN.md # Pillar II: NVG Cyclic Cosmology
│   ├── NVG_CYCLIC_COSMOLOGY_PREPRINT_RU.md # Russian version
│   ├── NVG_GENESIS_MODEL_EN.md             # Pillar II: The First Cycle
│   ├── NVG_GENESIS_MODEL_RU.md             # Russian version
│   ├── NVG_MAGNETAR_PREPRINT_V3.md         # Revised magnetar preprint with new quantitative closure tests
│   ├── NVG_MAGNETAR_PREPRINT_V3.tex        # Publication LaTeX for the revised magnetar preprint
│   ├── NVG_MAGNETAR_PREPRINT_V3.pdf        # Publication PDF for the revised magnetar preprint
│   ├── NVG_MAGNETAR_PREPRINT_V4.md         # Version 4 preprint with mass correlation audit & predictions
│   ├── NVG_MAGNETAR_PREPRINT_V4.tex        # LaTeX file for Version 4 preprint
│   ├── NVG_MAGNETAR_PREPRINT_V4.pdf        # PDF for Version 4 preprint
│   ├── NVG_MAGNETAR_POPULATION_APPENDIX.md # Source-by-source magnetar population appendix
│   ├── NVG_UNIFIED_FIELD_EQUATIONS.md      # Mathematical derivation of the unified field action and equations
│   ├── NVG_UNIFIED_FIELD_EQUATIONS.tex      # LaTeX file for the unified field equations
│   ├── NVG_UNIFIED_FIELD_EQUATIONS.pdf      # PDF for the unified field equations
│   ├── NVG_VACUUM_W_FIELD_DERIVATION_EN.md  # QFT derivation of the vacuum condensate amplitude W (EN)
│   ├── NVG_VACUUM_W_FIELD_DERIVATION_RU.md  # QFT derivation of the vacuum condensate amplitude W (RU)
│   └── *.pdf                               # PDF renders of all articles
├── verification/
│   ├── nvg_verification_suite.py           # Master automated verification test suite
│   ├── nvg_advanced_calculations.py        # Runtime evidence-status ledger; retired/forward rows remain non-evidence
│   ├── nvg_full_ns_eos.py                  # NS EOS + TOV solver → M_max, R_1.4
│   ├── nvg_hyperon_puzzle_solution.py      # Hyperon threshold proxy (no complete-likelihood resolution)
│   ├── nvg_hyperon_puzzle_tov.py           # TOV solver for Hyperon Puzzle (NL3/SLy baselines & figures)
│   ├── nvg_hadrons_magnetic_fields.py      # Meson mass shifts, magnetic fields
│   ├── nvg_weak_field_ppn.py               # PPN parameter verification (γ=1)
│   ├── nvg_cosmology_tensions.py           # Hubble/S8 tensions, BBN constraints
│   ├── nvg_cooling_dark_matter.py          # PBH Dark Matter, NS Cooling (Direct Urca)
│   ├── nvg_black_hole_entropy.py           # BH core regularity, Tolman entropy balance
│   ├── nvg_cmb_smbh_cyclic.py              # CMB anomalies, cyclic parameters, early SMBHs
│   ├── nvg_iloveq_gw_echoes.py             # I-Love-Q transform, GW Echo templates
│   ├── nvg_bbn_reionization.py             # BBN and reionization checks
│   ├── nvg_gravitational_waves_tests.py    # Additional GW constraint checks
│   ├── nvg_advanced_observables_I.py       # Runtime ledger: HADES forward, canonical NS chain, cycles
│   ├── nvg_advanced_observables_II.py      # Runtime forward ledger: CMB/EHT/PBH (no likelihood)
│   ├── nvg_advanced_observables_III.py     # Runtime ledger: mesons, Lorentz, cooling, QNM
│   ├── nvg_em_maxwell_decoherence.py       # Maxwell equations (eps_eff) & Decoherence
│   ├── nvg_grmhd_surrogate.py              # EOB surrogate BNS merger (GW Strain)
│   ├── nvg_detector_forward_model.py       # HADES/CBM/NICA Forward Model
│   ├── nvg_pulsar_population_test.py       # Retired: no ATNF mass/age/luminosity likelihood
│   ├── nvg_magnetar_closure.py             # Magnetar closure checks and structural-amplification benchmarks
│   ├── nvg_1e161348_fallback_torque.py     # Fallback-disk torque model for 1E 161348-5055
│   ├── nvg_magnetar_population_scan.py     # Magnetar catalog scan, gamma-fit, and appendix export
│   ├── nvg_magnetar_mass_correlation.py    # Reconstructed magnetar mass-field correlation statistical audit
│   ├── nvg_new_predictions.py              # Quantitative multi-messenger predictions (FAIR, GW, LMXB)
│   ├── nvg_unified_field_equations.py      # Verification of the unified field equations and core limits
│   ├── nvg_hades_dielectron_sim.py         # HADES/CBM in-medium rho-meson dielectron spectral simulation
│   ├── nvg_gw_echo_waveforms.py            # Post-merger black hole GW echoes waveform template simulator
│   ├── nvg_dark_energy_w0wa.py             # CPL w0-wa parameter derivation from VMF cyclic cosmology
│   ├── nvg_dark_energy_desi.py             # Cosmological dark energy w0-wa parameter alignment with DESI DR2
│   ├── nvg_pbh_jwst_seeds.py               # JWST early supermassive black hole seeding puzzle simulation
│   ├── nvg_pbh_continuity_test.py          # Continuous PBH mass spectrum
│   ├── nvg_joint_ns_inference.py           # Joint NS Inference (Multi-Messenger Likelihood)
│   ├── nvg_observational_data_fit.py       # Quantitative fits to Planck, DESI, GW170817, and cooling data
│   ├── nvg_new_directions_verification.py  # Status ledger; JWST/ATNF retired, GW echo is mass-only forward
│   ├── nvg_litebird_prediction.py          # B-mode polarization tensor cutoff predictions (LiteBIRD 2032)
│   ├── nvg_nicer_j0437_check.py            # Mass-radius check against NICER 2024 PSR J0437-4715 bounds
│   ├── nvg_nanograv_background.py          # Retired PBH–NANOGrav channel abundance cross-check
│   ├── nvg_hubble_tension.py               # Hubble tension analysis and Genesis bounds
│   ├── nvg_sgr_frb_rate.py                 # Magnetar mass-stability relation and FRB rate for SGR 1935+2154
│   ├── nvg_s8_tension_check.py             # Maintained S8 tension accounting (input-dependent route; currently worsens)
│   ├── nvg_chime_frb_check.py              # Retired: no repeater-linked CHIME DM/mass likelihood
│   ├── nvg_ligo_o4_echo_candidates.py      # Predicted echo time delays for massive LIGO O4 remnants (M ~ 65 M_sun)
│   ├── nvg_relic_dark_matter.py            # Legacy relic-target inversion into coupling/mass (not abundance prediction)
│   ├── nvg_glueball_mass.py                # Scalar glueball mass calculation
│   ├── nvg_neutrino_mass.py                # Majorana neutrino mass see-saw limit
│   ├── nvg_starquake_qpo.py                # Magnetar starquake QPO shear frequencies
│   ├── nvg_primordial_gw_comb.py           # Primordial gravitational wave frequency comb generator
│   ├── nvg_axion_mass.py                   # Topological axion decay constant and mass calculation
│   ├── nvg_de_axion_crosscheck.py          # Dark-energy/axion cross-check vs the dark-dimension window (CONJECTURED)
│   ├── nvg_dual_hierarchy_identity.py      # Triple-hierarchy identity (density/entropy/mass from 3c²/8πG)
│   ├── nvg_ns_mass_bound.py                # Parameter-free NS mass bound M_Pl³/M_Ω² = 2.21 M_⊙ + live cut
│   ├── nvg_sigma_mnu_corner.py             # Cornered sum Σm_ν = 59 meV vs DESI/CMB-S4
│   ├── nvg_katrin_mbeta.py                 # m_β = 8.9 meV vs KATRIN/Project 8 (29 meV corrected)
│   ├── nvg_echo_o4_observers.py            # Observer card: echo parameters for 4 O4 candidates
│   ├── nvg_perihelion_shift.py             # Binary pulsar strong-field periastron shift calculation
│   ├── nvg_cmb_temperature.py              # CMB temperature today from QCD bounce scale
│   ├── nvg_baryon_asymmetry.py            # Baryon asymmetry (eta_B) from Genesis bounce
│   ├── nvg_postmerger_fpeak.py            # Post-merger peak GW frequency from VMF TOV R_1.6
│   ├── nvg_ns_redshift.py                 # Surface gravitational redshift z_surf from VMF R_1.4
│   ├── nvg_sgr_temperature.py             # SGR 1935+2154 quiescent spot temperature
│   ├── nvg_speed_of_sound_curve.py        # Speed of sound c_s^2(n_B) profile and conformal bound
│   ├── nvg_ns_g_modes.py                  # WKB g-mode forecast with assumed composition (no detector likelihood)
│   ├── nvg_higgs_mass_shift.py            # Higgs boson mass shift from QCD vacuum condensate
│   ├── nvg_dna_chirality.py               # DNA homochirality and biological θ-coherence scales
│   ├── nvg_ds_core_oscillations.py        # de Sitter core standing wave oscillations
│   ├── nvg_pbh_dark_matter.py             # PBH ladder and normalized-profile benchmark bookkeeping
│   ├── nvg_wd_cooling.py                  # White Dwarf cooling rate under VMF
│   ├── run_nvg_suite.py                    # MASTER SCRIPT: generates final uncertainty report
│   ├── run_all_checks.py                   # Automated suite runner for all physical verifications
│   ├── nvg_genesis_observable.py           # Genesis instanton → Hubble horizon match
│   ├── nvg_vacuum_w_field_derivation.py    # Numerical verification of the W-field phase transition
│   ├── nvg_strong_cp_solution.py           # Strong CP problem solution from V(W,θ)
│   ├── nvg_double_slit_madelung.py         # Double-slit interference from W-condensate Madelung hydrodynamics
│   ├── nvg_arrow_of_time.py                # Arrow of time from vacuum phase θ topology
│   ├── nvg_dm_direct_detection.py          # Proof that W ≠ WIMP: null WIMP prediction from 3 coupling channels
│   ├── nvg_bell_inequality.py              # Bell violation from vacuum phase θ coherence
│   ├── nvg_heisenberg_proof.py             # Heisenberg uncertainty = Cauchy-Schwarz theorem
│   ├── nvg_wavefunction_collapse.py        # "Collapse" = thermalization of vacuum phase θ
│   ├── nvg_neutrino_seesaw.py              # Neutrino mass from θ-seesaw without right-handed neutrinos
│   ├── nvg_quantum_gravity.py             # Quantum gravity without quantization: Hawking from θ-thermalization
│   ├── nvg_fine_structure.py              # α_EM = 1/137 from vacuum polarization Z_EM(W₀)
│   ├── nvg_antimatter_topology.py         # Antimatter as θ → −θ, annihilation = vortex reconnection
│   └── nvg_rhic_bell_test.py              # 🔥 RHIC Bell Test: S_CHSH(T > T_c) → 0, experimental protocol
├── visualization/
│   ├── nvg_3d_viz_v2.html                  # Interactive 3D Tolman Cycles Simulator
│   ├── nvg_ns_merger_3d.html               # Interactive 3D BNS Merger & Mass Melting
│   └── nvg_3d_viz_v2_ru.html              # Interactive 3D Universe Simulator (RU)
├── .docs/
│   ├── NVG_VERIFICATION_MATRIX_RU.md       # Matrix of falsifiable predictions
│   ├── NVG_EM_OBSERVABLES.md               # Strict Checklist of EM Observables
│   ├── NVG_ELECTROMAGNETIC_EXTENSIONS.md   # EM waves, wave-particle duality, research directions (RU)
│   └── NVG_ELECTROMAGNETIC_EXTENSIONS_EN.md # English version
├── README.md
└── README_RU.md

Quick Start (Automated In-Silico Suite)

The repository includes a process-check suite and a canonical runtime ledger. These execute declared calculations and expose their evidence boundaries; a green process exit is not an observational confirmation.

# Install dependencies
pip install numpy scipy

# Run the master verification suites
python verification/nvg_verification_suite.py     # Process checks only (not scientific verification)
python verification/nvg_advanced_calculations.py  # Runtime evidence-status ledger; retired/forward rows remain non-evidence
python verification/run_all_checks.py             # Executes the process harness (not scientific verification)

# Run specific predictive scripts
python verification/nvg_gw_echoes.py               # Predicts LIGO/Virgo GW Echoes
python verification/nvg_cyclic_lifetimes.py        # Calculates Tolman cycle durations
python verification/nvg_hadron_mass_fractions.py   # Shows the 91% nonperturbative QCD mass
python verification/nvg_full_ns_eos.py             # Solves the NS EOS and TOV equations
python verification/nvg_fair_hades_link.py         # Predicts the 20% rho-meson mass drop
python verification/nvg_magnetar_closure.py        # Closure checks for the revised magnetar scenario
python verification/nvg_1e161348_fallback_torque.py # Fallback-disk braking for 1E 161348-5055
python verification/nvg_magnetar_population_scan.py # Catalog scan and appendix export for the magnetar population
python verification/nvg_magnetar_mass_correlation.py # Statistical correlation audit of reconstructed masses
python verification/nvg_new_predictions.py          # Quantitative predictions (FAIR, post-merger GW shift, LMXB)
python verification/nvg_unified_field_equations.py  # Verification of the unified field equations (bounce and magnetars)
python verification/nvg_hades_dielectron_sim.py     # HADES/CBM in-medium rho dielectron spectral simulation
python verification/nvg_gw_echo_waveforms.py        # Post-merger black hole GW echoes waveform template simulator
python verification/nvg_dark_energy_desi.py         # Dark energy w0-wa parameter alignment with DESI DR2
python verification/nvg_pbh_jwst_seeds.py           # JWST early black hole seeding puzzle simulation

# Electromagnetic extensions and vacuum properties
python verification/nvg_em_extensions_proofs.py     # Lorentz invariance, vacuum polarization
python verification/nvg_em_priority2_formal.py     # Maxwell from S[g,W,A], ε_eff, decoherence

# Astrophysical and cosmological observables
python verification/nvg_cosmology_tensions.py      # Hubble/S8 tensions, BBN constraints
python verification/nvg_cooling_dark_matter.py     # PBH Dark Matter, NS Cooling dichotomy
python verification/nvg_iloveq_gw_echoes.py        # I-Love-Q transform, GW echo templates
python verification/nvg_cmb_smbh_cyclic.py         # CMB anomalies, Early SMBHs
python verification/nvg_black_hole_entropy.py      # BH core, entropy reset
python verification/nvg_hyperon_puzzle_solution.py # Hyperon threshold proxy (no complete-likelihood resolution)
python verification/nvg_hyperon_puzzle_tov.py      # TOV solver for Hyperon Puzzle (NL3/SLy baselines & figures)
python verification/nvg_advanced_observables_I.py  # HADES spectrum, z_surf, cycles
python verification/nvg_advanced_observables_II.py # CMB P(k), EHT shadows, PBH mass
python verification/nvg_advanced_observables_III.py# Mesons, Lorentz, NS Cooling
python verification/nvg_em_maxwell_decoherence.py  # Maxwell (eps_eff), Transfer Function
python verification/nvg_grmhd_surrogate.py         # EOB surrogate BNS merger (GW Strain)
python verification/nvg_detector_forward_model.py  # HADES/CBM Forward Model
python verification/nvg_pulsar_population_test.py  # Retired: no ATNF mass/age/luminosity likelihood
python verification/nvg_pbh_continuity_test.py     # PBH continuous mass spectrum
python verification/nvg_joint_ns_inference.py      # Joint NS Inference (Likelihood)
python verification/nvg_observational_data_fit.py   # Fits Planck PR4, DESI DR2, GW170817, and cooling
python verification/nvg_new_directions_verification.py # Status ledger; JWST/ATNF claims retired, GW echo is mass-only forward
python verification/nvg_litebird_prediction.py      # Predicts B-mode polarization tensor cutoff (LiteBIRD 2032)
python verification/nvg_nicer_j0437_check.py        # Validates NVG radius against 2024 NICER PSR J0437-4715 bounds
python verification/nvg_nanograv_background.py      # Retired PBH–NANOGrav channel abundance cross-check
python verification/nvg_hubble_tension.py           # Calculates H_0 bounds from the Tolman cycle
python verification/nvg_sgr_frb_rate.py             # Models magnetar mass vs stability and FRB burst rate
python verification/nvg_dark_energy_w0wa.py         # Derives CPL dark energy parameters w0-wa
python verification/nvg_dark_energy_desi.py         # Verifies dark energy w0-wa alignment vs DESI DR2
python verification/nvg_s8_tension_check.py         # Maintained S8 tension accounting (currently worsens)
python verification/nvg_chime_frb_check.py          # Retired: no repeater-linked CHIME DM/mass likelihood
python verification/nvg_ligo_o4_echo_candidates.py  # Echo delay times for O4 candidates (M ~ 65 M_sun)
python verification/nvg_relic_dark_matter.py        # Legacy relic-target inversion into coupling/mass (not abundance)
python verification/nvg_glueball_mass.py           # Calculates the scalar glueball mass
python verification/nvg_neutrino_mass.py           # Calculates the Majorana neutrino mass limit
python verification/nvg_starquake_qpo.py           # Validates magnetar QPO starquake frequencies
python verification/nvg_primordial_gw_comb.py      # Calculates bounce frequencies for Tolman cycles
python verification/nvg_axion_mass.py              # Calculates topological axion mass limits
python verification/nvg_de_axion_crosscheck.py     # Dark-energy <-> axion-sector cross-check (dark-dimension window)
python verification/nvg_dual_hierarchy_identity.py # Triple-hierarchy identity + cycle-count audit
python verification/nvg_ns_mass_bound.py     # Parameter-free NS mass bound + live data cut
python verification/nvg_sigma_mnu_corner.py  # Σm_ν = 59 meV: cornered θ-seesaw prediction
python verification/nvg_katrin_mbeta.py      # m_β = 8.9 meV vs KATRIN/Project 8 (falsifier m_β > 20 meV)
python verification/nvg_echo_o4_observers.py # Echo observer card for the 4 O4 candidates (Δt = 20-24 ms)
python verification/nvg_perihelion_shift.py        # Verifies binary pulsar strong-field periastron shift
python verification/nvg_vacuum_w_field_derivation.py # Models QFT W-field phase transition & VEV
python verification/nvg_cmb_temperature.py      # Derives CMB temperature $T_{\rm CMB} = 2.725$ K from QCD bounce scale
python verification/nvg_baryon_asymmetry.py     # Computes primordial baryon asymmetry $\eta_B \approx 6 \times 10^{-10}$
python verification/nvg_postmerger_fpeak.py     # Reconstructs post-merger peak gravitational wave frequency
python verification/nvg_ns_redshift.py          # Solves TOV to compute surface gravitational redshift $z_{\rm surf} = 0.235$
python verification/nvg_sgr_temperature.py      # Simulates quiescent thermal cap emission for light magnetars (SGR 1935+2154)
python verification/nvg_ns_g_modes.py                  # WKB g-mode forecast with assumed composition (no detector likelihood)
python verification/nvg_ds_core_oscillations.py        # Computes standing wave oscillations in de Sitter cores
python verification/nvg_pbh_dark_matter.py             # Computes PBH normalized profile and benchmark comparisons
python verification/nvg_wd_cooling.py                  # Computes VMF white dwarf cooling rate deviation
python verification/run_nvg_suite.py               # Canonical runtime ledger (NVG_FINAL_REPORT.md)

Key Testable Predictions (Falsifiability)

The following list retains historical test proposals and conditional forecasts. Each applies only to its specified extension, inputs and observational model; it is not a list of established consequences of the source-complete action.

  1. Gravitational Wave Echoes: A reflective-core template quotes $\Delta t_{\rm echo}\approx22$ ms for $65,M_\odot$ with $\sim16$–$34$ ms cutoff sensitivity. Echo existence and amplitude require an independently specified boundary response; they are not fixed by the adopted QCD-scale input alone.
  2. Heavy-Ion Collisions (FAIR/HADES/NICA): The historical template quotes an instantaneous $\rho$-mass drop of about 20% at $2n_0$. A detector test requires the full in-medium line shape, fireball evolution and experimental response; this drop is not generated by the current source-complete branch.
  3. CMB Genesis Cutoff: The historical construction stretches a $1.13$ km scale by about 53 calibrated e-folds and imposes a low-$\ell$ cutoff. It is a candidate template, not an established explanation of $\ell=2,3$ or an exclusion of cosmic variance.
  4. Neutron Stars: The runtime canonical chain reaches $M_{\max}=2.048 M_\odot$ with a CSS branch at $c_s^2=1/3$; the transition is selected in-sample and is not independent evidence.
  5. Mass-budget input: Revising the adopted $M_{\Omega,0}$ interval $851$–$867$ MeV changes dependent dimensional scales. Testing the identification of this budget with a macroscopic $W_0$ requires explicit operator matching and input covariance.
  6. EHT comparison: Historical estimates $\sim10^{-35}$ at the horizon and $\sim10^{-70}$ at the photon ring belong to separate cutoff assumptions; they do not establish exact agreement for the macroscopic Hayward core or a detector-level falsifier for the source-complete action.
  7. Tolman cycle assignment: Index 77 is an input. The shared 76-doubling calculation yields the conditional scale $\pi GM/c^3\approx14.1592$ Byr, not a measured age or remaining lifetime; recurrent-cycle dynamics is not derived.
  8. Tidal Deformability (GW170817): The runtime canonical chain computes $\Lambda_{1.4}=519.4$; the comparison with the declared GW170817 interval $[70,720]$ is conditional/in-sample, not an independent confirmation.
  9. Multi-Meson Spectroscopy: The historical $2n_0$ template uses $\rho,\omega$ (-20.0%), $K^*$ (-7.8%), $\phi$ (-2.9%) and $J/\psi$ (-0.4%). These are branch-dependent model shifts for a line-shape study, not a measured hierarchy or outputs of the current one-component EOS.
  10. Quantitative CMB template: The imposed cutoff tends to a baseline ratio of 1.000 above $k\sim10^{-3}$ Mpc$^{-1}$ and suppresses power below about $3\times10^{-4}$ Mpc$^{-1}$. This by-construction shape does not establish an exact Planck-data match or its physical origin.
  11. Multi-Mass PBH Spectrum (Dark Matter): The cycle ladder supplies a conditional mass-rung template from the asteroid window through heavy candidates; object-level JWST seeding is retired pending a machine-readable catalogue, occupation model, and selection likelihood.
  12. GW Echo Template: Parameterized echo train with decaying amplitude ($R_{\rm core}^n$) and alternating phase — ready-to-use template for LIGO matched-filtering.
  13. NS cooling sensitivity: The $1.45M_\odot$ threshold is calibrated; the quoted $10^{33}$ versus $10^{31}$ erg/s regimes are illustrative. Composition, envelope and heating inputs matter, and no independent thermal-population likelihood makes one hot object a complete EOS falsifier.
  14. Gravitational Redshift and f_peak: Runtime canonical calculations give $z_{surf} \approx 0.222$ at $1.4 M_\odot$ and $f_{peak} \approx 2.42$ kHz from $R_{1.6}\approx12.65$ km; both are forward calculations, with no observed target yet.
  15. Cycles and Genesis Robustness: The closed form $n = N_e/\ln 2 = 76.58 \pm 0.013$ (anchored $H_0 = 72.8$) lands exactly inside integer cycle 77 of the Tolman ladder: the interval $N_e \in [76\ln2, 77\ln2] = [52.68, 53.38]$ (verification/nvg_hubble_tension.py). Audit: the previously quoted "77.2" is $\log_4(2.6\times10^{122}/10^{76}) = 77.09$ built on rounded E&L entropy anchors, and "±0.3" is the cycle-interval half-width $\ln2/2$, not the QCD sensitivity (true value ±0.013) (verification/nvg_dual_hierarchy_identity.py).
  16. EM-sector sensitivity: $\epsilon_{\rm eff}=0.135\epsilon_0$ is a conditional value in a phenomenological melting/EM ansatz. It is not a calculated material coefficient of the current source-complete branch.
  17. Lorentz-symmetry check: The stated vacuum ansatz introduces no explicit Lorentz-violating photon term. A zero coefficient in that ansatz is a formal check, not a new fit to GRB timing or polarization data.
  18. QNM scope: The historical $\sim10^{-105}$ frequency-shift estimate assumes a separate Planck-scale cutoff. A perturbation calculation for the macroscopic regular-core geometry is needed before claiming detector indistinguishability.
  19. Moment of inertia of J0737A: The linked Hartle calculation is a dated alternate calibration, not the maintained canonical chain and carries zero independent evidence weight; future orbital precession measurements remain the discriminating test (verification/nvg_moment_of_inertia_j0737.py).
  20. 0νββ null test: The minimal $\theta$-seesaw predicts $m_{\beta\beta} \in [0, 6.4]$ meV; a confirmed signal with $m_{\beta\beta} &gt; 10$ meV excludes the sector (verification/nvg_neutrinoless_dbeta.py).
  21. Fifth force at 3.7 mm: The monopole channel of the $\theta$ mode is identically zero (pseudoscalar); any unpolarized Yukawa signal at 3–4 mm falsifies the sector (verification/nvg_theta_fifth_force.py).
  22. Cosmic birefringence: Static branch $\beta = 0$; a detection of $\beta \neq 0$ at LiteBIRD precision pins the combination $\gamma_{\rm topo}\Delta\theta$ ($0.033°$ per unit) (verification/nvg_cmb_birefringence.py).
  23. $\theta$-mode superradiance: Kerr band $M_{\rm BH} \in [5\times10^{-7}, 1.3\times10^{-6}],M_\odot$; a spinning horizon PBH inside the band excludes the horizonless interpretation of the corresponding remnants (verification/nvg_theta_superradiance.py).
  24. Tidal heating: Horizonless remnants predict a zero absorption-phase contribution in EMRIs vs ~32 cycles for a Kerr BH (LISA) (verification/nvg_tidal_heating_null.py).
  25. Dark-sector band discrimination: The NVG bands (8–53 μeV) and the dark-dimension KK tower band (2 meV–1 eV at $R\in[0.2,100]$ μm) are disjoint — a detection in either band discriminates the programs; live falsifiers: DESI $w(z)\neq-1$ and the kinematic neutrino mass — 2026-08 correction: the KATRIN observable is $m_\beta = \sqrt{\sum|U_{ei}|^2m_i^2} = 8.9$ meV, not 29 meV (equi-weighting $m_3/\sqrt3$); registered falsifier $m_\beta &gt; 20$ meV (verification/nvg_de_axion_crosscheck.py).
  26. Quad-hierarchy identity: $\rho_c r_c^2 = \rho_{\rm crit}R_{H0}^2 = 3c^2/8\pi G$ → four hierarchies are powers of the single number $e^{N_e} = R_{H0}/r_c$: density $\rho_c/\rho_{\rm DE} = e^{2N_e}/\Omega_{\rm DE} = 1.85\times10^{46}$, entropy $S_{\rm now}/S_{\rm gen} = e^{2N_e} = 4^n$, mass $M_U = M_1\times 2^n = 4.30\times10^{22},M_\odot$ (the Hubble-sphere mass) and time $t_{H0}/t_b = e^{N_e} = 1.13\times10^{23}$ (precision $2\times10^{-15}$); the entropy-per-baryon ratio honestly does not close (area law vs volume count). Status: closed identity with a calibrated $H_0$ — consistency, not evidence (verification/nvg_dual_hierarchy_identity.py).
  27. Dimensional mass-scale diagnostic: $M_{\rm Pl}^3/M_\Omega^2 = 2.211^{+0.042}{-0.041},M\odot$ is a separate dimensional bound diagnostic from the single anchor $M_\Omega$, not the runtime canonical TOV result. Its live-data comparison and falsifier are documented in verification/nvg_ns_mass_bound.py; this bound and all alternate fork-B outputs carry their own assumptions and zero independent evidence weight relative to the canonical chain.
  28. The cornered neutrino-mass sum: $\Sigma m_\nu = 59.0$ meV — the minimum of normal ordering at $m_1\approx0$, rigidly fixed by the oscillation splittings; DESI DR1 + CMB + SN (UL 72 meV) leaves a margin of only +13 meV; the disputed negative DESI DR2 posterior ($-75\pm51$ meV) yields a $2.6\sigma$ pull; CMB-S4 ($\sigma\sim15$ meV) will deliver a two-sided verdict: a $\sim4\sigma$ exclusion if the central stays near zero, or conditional agreement if it lands at 59 meV; agreement with this standard normal-ordering limit would not identify an NVG mechanism. Falsifier: a robust $\Sigma m_\nu &lt; 45$ meV under a specified physical cosmological likelihood excludes the minimal $\theta$-seesaw (verification/nvg_sigma_mnu_corner.py).
  29. Kinematic neutrino-mass correction and one-sided falsifier: the KATRIN observable $m_\beta^2 = \sum_i|U_{ei}|^2m_i^2 = 8.9$ meV (minimal NO; 9.0 meV for the anchor spectrum) — earlier "29 meV" citations were the equi-weighting $m_3/\sqrt3$, not the observable; KATRIN (200 meV design) is honestly insensitive, the two-sided test is Project 8 ultimate ($\sigma\sim10$ meV); registered falsifier: any robust $m_\beta &gt; 20$ meV excludes the sector, since the inverted-ordering floor is 49.2 meV; the consistency triangle $\Sigma m_\nu = 59$ meV / $m_\beta = 8.9$ meV / $m_{\beta\beta}\le 6.4$ meV from one anchor is rigidly closed (verification/nvg_katrin_mbeta.py).
  30. O4 echo observer card: for the four ROADMAP candidates (GW230518/230615/230922/231215, $M_{\rm tot} = 61.8$–$70.2,M_\odot$) the predicted echo spacing is $\Delta t_{\rm echo} = 20.0$–$23.9$ ms (remnant-mass systematic $\times0.95$ included), carrier $f_{\rm QNM} = 245$–$278$ Hz, damping $\tau = 3.3$–$3.7$ ms, 14–16 pulses per comb at $R_{\rm eff} = 0.95$; the protocol (search window, bandpass, delay scan $\times0.73$–$\times1.55$, coherent statistic vs time-slide background) matches the repo pipeline; falsifier: a null deep stack of the full O4 catalog at the tabulated delays drives $R_{\rm eff}\to0$ and falsifies the reflective-core picture of the remnant (verification/nvg_echo_o4_observers.py).

Speculative Directions & Future Tech

1. Proposed macroscopic phase correlations (QCD to quantum optics)

Historical suggestions connect macroscopic oscillators or atomic clocks through a coherent condensate phase. The maintained action supplies neither such oscillators nor a measurable coupling, nonlocal correlation law or detector response. A testable proposal requires those missing ingredients; no predicted Bell anomaly is established.

2. Dark Matter as a Relic VMF Instanton Condensate

During the post-bounce expansion at $T &lt; T_b$, a toy relic-instanton budget can be evaluated. The freeze-out scale and self-coupling are calibration inputs; without a formation/occupation likelihood the resulting $\Omega_{\rm def}$ is a conditional model sensitivity, not a measured dark-matter fraction or verification (verification/nvg_relic_dark_matter.py).


Automatic Verification & Reporting (Runtime Ledger)

The repository includes a unified pipeline for reviewers: verification/run_nvg_suite.py. Running this script automatically generates NVG_FINAL_REPORT.md, which features:

  1. Canonical runtime ledger: Executes one TOV + Hinderer chain and records $M_{\max}$, $R_{1.4}$, $\Lambda_{1.4}$, and the conditional reduced $\chi^2$ with provenance.
  2. Honest boundary: Off-anchor uncertainty propagation and inverse QCD reconstruction are currently unsupported and are not reported as results.
  3. Forecast module: Records future measurements that could test the canonical chain; a process exit code is not a scientific verdict.
  4. Automatic Evidence Ledger: Maps each maintained result to its source and explicit input/calibration/conditional status.

Author

Oleg Kirichenko — Independent Researcher — urevich55@gmail.com

License

MIT License — see LICENSE for details.

About

Theoretical and numerical framework for Null-Vector Gravity (NVG) and Vacuum Mass Fraction (VMF): mapping QCD vacuum condensate phase transitions to neutron star equations of state, magnetars, cyclic cosmology, and regular black holes.

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