δ_CP — loop-running estimate
Computes the SM leading-log running window 7°–12° that brackets the residual on δ_CP = π/3. Backs: delta-cp · predictions row.
Code & verification
Code, data analyses, and verification scripts
Plain Python sources behind the falsification tests, the predictions table, and the empirical status. Each file is a self-contained analysis script; download, read, run.
the canonical script set is now under corpus. Aggregate verifier
verification script; particle-physics pack particle-physics verification; cosmology supplementary pack cosmology verification; 600-cell identity verifier 600-cell identity verification; axis re-derivation; Bayesian recompute (13.1σ / 8.3σ / 0σ provisional via Δχ² attribution).
These scripts implement the analyses behind the published predictions and falsification tests. They are intended for reproduction and inspection, not as a packaged library. Each script has its own dependencies (commonly NumPy, SciPy, and either Matplotlib or pandas); read the imports at the top of each file before running.
Amendment, BAO geometry revision, and KiDS S_8 audit reclassification (, later same day).
Eight scripts (
cosmology_tests.py, audit_fails.py, cmb_analysis.py, dct_desi_bao_test.py, dct_gc_age_resolution.py, dct_eddington_ratio_per_z.py, cosmological_tensions_analysis.py, pantheon_supernova_analysis.py) retain labelled branches from an interim Avrami profile \(P(z) = P_0 + (1-P_0)\exp(-t(z)/t_{50})\) (2026-05-04). That profile is not corpus-canonical at homogeneous cosmological scales; evolution in \(P\) that is derived in the public action is spatial (\(P(g)\), \(P(\Phi)\)). Separately, homogeneous \(P(t)\) cancels from radial null \(\chi(z)\); the large DESI \(\Delta\chi^2\) from rescaling \(D_M\) is an obsolete distance map (see /observables/bao/, dct_desi_bao_test.py header). The KiDS-Legacy 2025 \(S_8\) "FAIL" was reclassified PASS in review: the canonical \(c_{GW}=c\) constraint (RESOLVED, "under \(c_{GW}=c\) the disformal contribution is 8+ orders too small to affect \(S_8\)") is binding, so the canonical \(\sigma_8 \approx 0.811 \to S_8 \approx 0.831\), giving a 0.89\(\sigma\) match to KiDS-Legacy 0.815. Globular-cluster ages remain \(\sim\!2.9\)–\(4.0\sigma\) tension vs HD140283 under canonical constant-\(P_0\) (no comparable audit resolution found). Any Avrami \(P(z)\) branch in these files is diagnostic only. See /updates/ and /observables/t-univ-avrami/.
m_p / m_e — chance-coincidence Monte Carlo
Brute-force ~51 M algebraic-formula search; computes P_chance = 2.6 × 10⁻⁵ → 4.6σ. Backs: m-p-m-e · structural identity #1.
Partition function — S(β = 0.966) = ln(31)
Verifies the Casimir-invariant correction to the partition function: N_eff = 31.005 exact. Backs: s-beta · master-identity.
SPARC galaxy fits — radial-acceleration relation
Fits the Avrami profile P(g) = 1 − exp(−√(g/g_†)) against 175 SPARC galaxies; mean χ²/N = 0.97. Backs: g-dagger · DCT-DM-01.
Cosmology suite — H(z), CC, growth, BAO
Compares DCT predictions vs ΛCDM across cosmic chronometers, BAO, growth, and structure. Backs: cc-hz · s-8 · h-phys · DCT-COS-01.
CMB — Planck PR3 acoustic and lensing
Extracts A_L, peak ratios, damping tail; checks the conformal-wall-invariance prediction. Backs: delta-n-eff · eta-baryon · n-s-spectral-index · DCT-CMB-01.
Solar-system PPN, LLR, Cassini, lensing
Checks γ, β, Nordtvedt η; sets up the BepiColombo MORE 2028 prediction. Backs: gamma-ppn · beta-ppn · nordtvedt-eta · cassini-gamma · DCT-PPN-01.
Pantheon+ supernovae — w(z), Path I exclusion
Fits SNIa data; returns w_0 = -1.00, |w_a| < 10⁻⁴, and excludes Path I (ε_0 = 0.063) at 19σ. Backs: w-0 · w-a · DCT-COS-01.
LIGO — gravitational-wave events
Tests c_GW = c (GW170817 + 8-event suite) and DCT-modified ringdown predictions. Backs: hawking-ratio · DCT-SBD-01.
Particle physics — Standard Model derivations
Mass ratios, mixing angles, gauge-coupling running across the McKay 2I → E_8 derivation. Backs: sin-theta-13 · inv-alpha · m-tau-m-mu · CKM · jarlskog-j · DCT-SM-01.
Muon g − 2
Compares Fermilab g-2 measurement against DCT prediction. Backs: muon g-2 forward prediction.
Cosmological tensions — H₀, S₈, w(z)
Joint Bayesian preference vs ΛCDM, recomputed after KiDS-Legacy 2025 + DESI DR2. Backs: joint Bayesian table · 17-method H₀ correlation.
Galaxy survey — mock-pipeline validation
Pipeline-validation script using synthetic seeded-RNG data (not real BOSS/SDSS/DES extracts). Reserved for sanity-checking the f(σ_8) and large-scale-structure analysis pipeline. Real-data analysis is in DCT-COS-01.
Astrophysical tests
Stellar/planetary, cluster, and high-energy-astrophysics consistency checks. Backs: m-lens-m-dyn · hawking-ratio · wald-entropy · DCT-DM-01.
Temporal \(P(z)\) diagnostics (non-corpus) and BEC-reality scripts
Scripts that still contain a reverted temporal Avrami \(P(z)\) branch (2026-05-04 interim, amendment) for late-universe observables, plus the BEC reality test. Corpus-canonical cosmology holds \(P = P_0\) since BBN; read each script header before citing numbers.
BEC reality test — log₁₀(BF) = +4.34
Five-sub-test cross-domain validation that the DCT vacuum's parameters extracted from gravity, quantum, and time domains satisfy mean-field BEC consistency relations \(c_s^2 = \mu/m_{\rm BEC}\), \(\xi = \hbar/\sqrt{2 m \mu}\), \(a_\dagger = c_s^2/\xi\). Backs /predictions/#bec-reality-test and /tests/#bec-reality-test.
GC ages — constant-\(P_0\) branch + reverted Avrami diagnostic
Integrates the Friedmann equation: headline corpus path gives \(t_{\rm univ} \approx 12.7\) Gyr (tension vs HD140283); the script retains an explicit non-canonical Avrami-\(P(z)\) branch (\(\sim\)13.7 Gyr) for reproducibility only. Backs /observables/t-univ-avrami/.
Cosmic chronometer per-z — honest negative
Per-redshift comparison \(H_{\rm obs}(z)/H_{\Lambda{\rm CDM}}(z)\) on the Moresco compilation. Weighted mean ratio 1.0143 ± 0.0227 → 0.63σ from ΛCDM, 3.08σ from naive uniform-multiplier BEC. The simple BEC form is rejected; a low-\(z\) transition in an \emph{effective} expansion rate is one possible direction — not to be read as restoring temporal \(P(z)\) as corpus-canonical. Backs /tests/#cosmic-chronometer-per-z.
EDGES 21-cm — DCT inactive at z = 17
At z = 17 the BEC is uncondensed (P → 1) under the Avrami profile, so DCT does not modify the 21-cm absorption signal in either the EDGES or SARAS-3 direction. Status neutral. Backs /tests/#edges-21cm.
NANOGrav 15-yr γ_PTA — neutral
Measured γ_PTA = 3.2 ± 0.6. SMBHB γ = 13/3 = 4.33; both DCT and SMBHB sit at ≈ 1.9σ from the central value. DCT's specific contribution at scalar-mode frequency 7.6 × 10⁻²⁰ Hz is below NANOGrav's 1/yr sensitivity. Backs /tests/#nanograv-15yr-gamma.
FAIL audit — 33-test post-audit count
Summary script tabulating the 33-facet survey after the BAO geometry revision: 20 PASS / 13 NEUTRAL / 0 FAIL (run audit_fails.py for the live printout). Row-by-row registry with ΛCDM / GR / SM null baselines and DCT contrasts: /empirical/facets/ (facet_registry.json). Backs /scorecard/#33-facet-pass-neutral-fail.
DESI BAO — legacy χ² branches + geometry note
DESI Year-1 12-bin harness: reproduces legacy \(\Delta\chi^2\) on the obsolete \(D_M\) rescaling branch and optional diagnostic Avrami \(P(z)\) branches. Read the script header before citing numbers. Backs /observables/bao/.
A formal Git repository will be made available alongside arXiv submission. Until then, these self-contained scripts are the authoritative public record of the analysis code.
Input data
Public archives the verification scripts pull from. Each entry shows the source, the typical retrieval, and the cluster-paper analysis that uses it.
| Archive | Source | Used by |
|---|---|---|
| GWOSC GWTC-1+2.1+3 strain HDF5 | gwosc.org | HF pixelation null check |
| PTB Yb⁺/Sr clock fractional frequency | PTB-OAR DOI 10.7795/720.20210126 | Lomb–Scargle / diurnal modulation |
| NANOGrav 15-yr pulsar timing | NANOGrav Collaboration Zenodo | Brans–Dicke ω₀² dipole bound |
| Euclid Q1 strong-lens catalogue | Walmsley et al. 2025 Zenodo | M_lens / M_dyn turnover (E29) first-look |
| King 2012 quasar α-dipole raw | King et al. 2012 supplementary | Spatial-α gradient reproduction |
| SPARC galaxy rotation curves | Lelli–McGaugh–Schombert 2016 | Avrami profile / RAR fit |
| Cosmic chronometers H(z) | Moresco compilation | Per-z H_obs/H_LCDM ratio |
| Multi-method H₀ panel | 17 published distance methods | H₀ vs condensate-density correlation |
| NIST Atomic Spectra Database | NIST ASD v5.11 | Conformal-wall theorem invariance |
| CODATA 2018 fundamental constants | CODATA | Structural-identity chance probability |
| PDG 2024 | Particle Data Group | CKM, masses, mixing angles |
| DESI Y1 BAO | DESI Collaboration 2024 | D_M(z)/r_d under constant-P branch |
| KiDS-Legacy 2025 | Wright et al. 2025 | S_8 data update |
| Lange 2021 LPI | PTB-OAR | Local position-invariance reproduction |
| Cassini Doppler bound | Bertotti, Iess, Tortora 2003 | PPN γ bound |
| BepiColombo MORE projection | Iess, Asmar, Tortora 2021 | 2028 forward decisive test forecast |
How to reproduce a numerical claim
- Pick a row from the predictions table or a result on the empirical evidence page.
- Open the cluster paper named in the source column under /papers/; the per-prediction derivation chain is in the body of that paper.
- Pull the corresponding public-archive dataset from the table above.
- Run the verification script listed below; the script consumes the public archive and reproduces the prediction-vs-measurement comparison without private data.