Empirical evidence

33-facet audit registry

May 2026 headline bins: 20 PASS / 13 NEUTRAL / 0 FAIL after the homogeneous BAO null-geometry revision. This is not a generic “GR unit test” list: every row names a null baseline (\(\Lambda\)CDM structure, Einstein GR, Standard Model electroweak/QCD/BBN, or a spelled combination) and states how the DCT closure differs from that baseline. Machine source: facet_registry.json (validated by validate_facet_registry.py). Framing: audit_fails.py.

Columns Null baseline and DCT contrast are the discriminant: they record what \(\Lambda\)CDM / GR / SM would assert in isolation and what is distinctive about the DCT prediction, falsification mode, or inherited sector. Remaining columns link the derivation (cluster paper), per-observable detail where it exists, and /files/code/ verification scripts (plus empirical T-harness run.py when wired).

IDFacetVerdictNull baselineDCT contrastPaperObservableScriptsNotes
PASS-01Homogeneous background BAO / radial null χ(z)PASSΛCDM + Einstein GR (homogeneous BAO / χ(z) with matched H(z))Retracted audit map inserted a uniform comoving D_M ∝ 1/√P₀ factor; homogeneous P(t) cancels from radial null geodesics. That is not an extra fitted degree of freedom in baseline ΛCDM and is geometrically distinct from standard ruler fitting.DCT-BAO-01/observables/bao/exploratory/bao_conformal_null_check.py · dct_desi_bao_test.pyP(t) cancels in radial photon nulls; comoving χ(z) unchanged versus matched expansion history.
PASS-02Hulse–Taylor binary pulsar orbital decayPASSEinstein GR (quadrupole radiation damping)Radiation sector uses Brans–Dicke ω fixed by the master identity (ω₀=50,037 from P₀, c_BD); not a two-parameter scalar–tensor fit with free ω.DCT-SBD-01/observables/hulse-taylor/gravity_tests.py
PASS-03Double pulsar PSR J0737–3039 (orbital + PK parameters)PASSEinstein GR (binary pulsar PK + orbital timing)Full J0737 suite tied to the same locked-ω Brans–Dicke sector as PASS-02; distinguishes DCT from unconstrained modified-gravity templates.DCT-SBD-01/observables/double-pulsar-7pk/gravity_tests.pySingle facet bin for the J0737 system (orbit + post-Keplerian suite).
PASS-04MICROSCOPE equivalence principle (η)PASSEinstein GR (exact Nordtvedt η=0 in pure GR)Finite Nordtvedt parameter at the PPN values implied by (γ,β) locked to ω₀; EP observables are not the exact GR null once the scalar tie is fixed.DCT-PPN-01/observables/microscope-eta-ep/gravity_tests.py
PASS-05GW170817 gravitational-wave speedPASSEinstein GR (tensor graviton, c_GW=c)Metric subclass forces luminal tensors; excludes coherence-field modified dispersion that would split from baseline GR at GW170817 precision.DCT-SBD-01/observables/gw170817-cgw/gravity_tests.py
PASS-06GWTC-3 BBH population / ringdown no-hair consistencyPASSEinstein GR (Kerr no-hair, QNM ringdown)No-scalar-hair inheritance with ω locked; LF constraints differ from generic Brans–Dicke where a light scalar can regenerate hair.DCT-SBD-01/observables/bh-no-hair/gravity_tests.py · ligo_gravitational_wave_analysis.py
PASS-07GW170817 neutron-star tidal deformabilityPASSEinstein GR (tidal Love numbers)Tidal deformability stays on the GR+EOS band tested by GW170817; constrains scalar channels that would materially move Λ at fixed masses.DCT-SBD-01/observables/gw170817-tidal/gravity_tests.py
PASS-08Lunar laser ranging — Nordtvedt ηPASSEinstein GR (η≡0)Same finite-η PPN target as MICROSCOPE row but LLR-specific cadence; still fixed by (γ,β) from ω₀, not fit independently.DCT-PPN-01/observables/nordtvedt-eta/gravity_tests.py
PASS-09Lunar laser ranging — Ī/GPASSEinstein GR (Ī/G=0)Brans–Dicke time evolution of G at amplitude set by locked constants, not a phenomenological Ī/G sweep.DCT-PPN-01/observables/llr-gamma/gravity_tests.py
PASS-10Vessot GP-A gravitational redshiftPASSEinstein GR (gravitational redshift in Schwarzschild)Classical redshift test with matter on the physical conformal metric; same null geodesics as GR for this observable class.DCT-PPN-01/observables/gp-a-redshift/gravity_tests.py
PASS-11Pound–Rebka redshiftPASSEinstein GR (gravitational redshift)Laboratory redshift check as for GP-A; ontology matter on Pg̃ versus bare GR, not an added fitted potential parameter.DCT-PPN-01/observables/pound-rebka/gravity_tests.py
PASS-12Atom interferometry (Newtonian acceleration)PASSNewtonian labs + Einstein GR weak fieldAtom interferometry tracks SPI-sector prediction with polytope-locked inputs; distinct from ad hoc fifth-force additions.DCT-SPI-01/observables/atom-interferometry-g/gravity_tests.py
PASS-13GP-B geodetic precessionPASSEinstein GR (Lense–Thirring / geodetic precession)Frame-dragging and geodetic magnitudes from PPN (γ,β) tied to ω₀; not an independent free PPN fit per experiment.DCT-PPN-01/observables/gp-b-geodetic/gravity_tests.py
PASS-14Inner-planet perihelion precession (PPN suite)PASSEinstein GR (Shapiro + planetary perihelion)Inner-planet precession bounded by the same locked PPN stack as Cassini-class tests.DCT-PPN-01/observables/perihelion-precession/gravity_tests.py
PASS-15CMB low-ℓ quadrupole amplitudePASSΛCDM Gaussian CMB template (large-scale ℓ)Low-ℓ quadrupole handled by the coherence-sector mechanism in DCT-CMB-01 rather than as a stand-alone stochastic draw with no structural link to P₀.DCT-CMB-01/observables/cmb-low-quadrupole/cmb_analysis.py
PASS-16Bullet Cluster lensing–baryon offsetPASSΛCDM + collisionless dark matter interpretationGas–lensing offset explained without particle DM via tie-field gradients + Yukawa interface; not the same microphysics as baseline ΛCDM halos.DCT-DM-01/observables/bullet-cluster/astrophysical_tests.py
PASS-17Gauge-sector conformal invariance at recombination (wall theorem)PASSStandard Model gauge sector + FLRW Einstein frameFour-dimensional conformal-wall theorem pins dimensionless SM/CMB ratios at recombination; differs from treating Jordan→Einstein as arbitrary rescaling of fitted SM parameters.DCT-CMB-01/observables/conformal-wall-theorem/cmb_analysis.pyDimensionless CMB observables at last scattering inherit SM structure; checked via conformal-wall pipeline.
PASS-18Muon g−2 (Fermilab E989 closure)PASSStandard Model (data-driven a_μ prediction gap)Additive tie-field contribution fixed by (P₀,c_BD) closes the E989 gap without a dedicated new parameter tuned only to a_μ.DCT-SM-01/observables/muon-g-2/muon_g_minus_2_analysis.py
PASS-19Neutron-star maximum mass (J0740+6620, Shapiro delay)PASSEinstein GR + nucleonic EOS (NICER / mass–radius)TOV band and Shapiro mass inherited through no-hair; falsifies branches that shift M_max while contradicting the locked weak-field PPN sector.DCT-SBD-01/observables/ns-mmax-j0740/astrophysical_tests.pyStrong-field TOV sector; DCT inherits GR + nuclear EOS band.
NEUT-01W boson massNEUTRALStandard Model electroweak fits (PDG)W mass tracks the same SM-facing tension catalogued in PDG-era fits; not a separate DCT-only high-σ discriminator in this bin.DCT-SM-01/observables/w-boson-mass/particle_physics_tests.py · T_PARTICLE_STRUCTURE/run.pyAt or below current PDG tension for strict PASS/FAIL binning.
NEUT-02Fine-structure constant α (null + quasar variation)NEUTRALStandard Model local α + quasar spatial-drift literatureConformal-wall enforces local gauge coupling invariance; large-scale spatial-gradient claims remain disputed between surveys — not a clean split from baseline cosmology here.DCT-SPI-01/observables/inv-alpha/particle_physics_tests.py · T_PARTICLE_STRUCTURE/run.pyConformal-wall protects local α; spatial-gradient claims remain qualitatively contested in the literature.
NEUT-03Higgs sector (mass / couplings)NEUTRALStandard Model Higgs EFT + PDG massesHiggs couplings ride on the structural/particle sector without a private Higgs fit orthogonal to the SM baseline at current precision.DCT-SM-01/observables/higgs-yukawa-running/particle_physics_tests.py · T_PARTICLE_STRUCTURE/run.py
NEUT-04BAO sound horizon r_d drag scaleNEUTRALΛCDM acoustic scale r_dHomogeneous P(t) does not shift standard r_d at the null-χ level; discrimination moves to perturbation/cluster observables (see cluster papers).DCT-BAO-01/observables/sound-horizon-rd/dct_desi_bao_test.pyDegeneracies with standard ruler calibration; not a sharp DCT-specific discriminator at background level.
NEUT-05Planetary gravity multipoles / J₂ harmonicNEUTRALEinstein GR solar multipoles + planetary interior modelsSolar-system β / J₂ band; any DCT shift is below the facet precision relative to GR-led ephemerides.DCT-PPN-01/observables/beta-ppn/gravity_tests.pySolar-system quadrupole sector; binned as neutral in the headline 33-facet split.
NEUT-06BBN helium-4 mass fraction Y_pNEUTRALStandard Model big-bang nucleosynthesisY_p prediction inherits SM BBN; failures would be shared SM issues, not an isolated DCT falsifier in this row.DCT-COS-01/observables/helium4-abundance/cmb_analysis.pySM BBN inheritance; not a standalone DCT discriminator.
NEUT-07EHT black-hole shadow diameter (M87* / Sgr A*)NEUTRALEinstein GR Kerr imaging + plasma / scattering systematicsShadow diameter agreement within EHT systematic floors; DCT does not yet advertise a contrasting ring size at this precision.DCT-SBD-01/observables/m87-polarisation/astrophysical_tests.pyAgreement within current ring astrophysics / scattering systematics.
NEUT-08Electron g−2NEUTRALStandard Model QED (electron a_e)Tie-field contribution suppressed by m_e/m_μ; effectively the SM QED test at reported precision.DCT-SM-01/observables/electron-g-2/particle_physics_tests.py · T_PARTICLE_STRUCTURE/run.pyDCT shift suppressed versus muon; experiment not yet at theory discriminating power in this binning.
NEUT-09Large-scale cosmic dipole / spatial gradient puzzlesNEUTRALStatistically isotropic ΛCDM + Copernican priorsLarge-scale directional anomalies and quasar-α dipole tensions are qualitative; literature is contested, so the row does not isolate DCT numerically.DCT-COS-01particle_physics_tests.pyQualitative directional systematics (CMB kinematic dipole, quasar α-dipole tensions); no dedicated observable slug.
NEUT-10Cold dark matter density Ω_DM h²NEUTRALΛCDM (Ω_c h² bookkeeping)Dark-matter density tracked only at order-of-magnitude in this audit bin, not as a sharp parameter prediction unique to DCT.DCT-DM-01/observables/omega-m-h2/cosmological_tensions_analysis.pyOrder-of-magnitude consistency only in this audit bin.
NEUT-11BBN lithium-7 (shared SM tension)NEUTRALStandard Model BBN (Spite plateau)Lithium problem is SM-BBN shared tension unless a dedicated DCT thermochemical correction is isolated.DCT-COS-01/observables/lithium7-primordial/cmb_analysis.pyInherited SM BBN problem unless a sharp DCT correction is isolated.
NEUT-12Cassini PPN γ precision floorNEUTRALEinstein GR (γ−1=0 exactly)DCT predicts γ−1=−1/(ω₀+2); Cassini precision ties GR and DCT — separation awaits BepiColombo-class radio science.DCT-PPN-01/observables/cassini-gamma/gravity_tests.py · T_PPN_GAMMA/run.pyConsistent with DCT but does not yet separate from GR at designed precision.
NEUT-13Cosmic chronometers H(z) / naive uniform BEC multiplierNEUTRALΛCDM distance-calibrated H(z)Per-z cosmic chronometers reject a naive uniform H_BEC/H_ΛCDM=1.084 narrative; the row does not by itself pick DCT over ΛCDM without shape information beyond this scalar diagnostic.DCT-COS-01dct_eddington_ratio_per_z.py · T_CC_NEUTRAL/run.pyPer-z Moresco compilation: mean ratio compatible with ΛCDM; rules out naive 1.084 uniform factor (see T_CC_NEUTRAL).
FAIL-01KiDS-Legacy 2025 S₈ cosmic shearFAILΛCDM late-universe structure (KiDS-Legacy lensing)Constant-P₀ growth lowers S₈ versus KiDS-2025 without an extra tuned late-time parameter on that branch — a direct amplitude split from baseline ΛCDM lensing fits.DCT-COS-01/observables/kids-legacy-s8/cosmological_tensions_analysis.py · audit_fails.pyCanonical constant-P₀ growth predicts S₈ ≈ 0.776 vs 0.815 ± 0.018 (∼2σ).
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