| MARGINAL | physics_test | 2D mu-Sigma Planck constraint: degeneracy stripe at Sigma~1.05 | mu=0.94 Sigma=1.05 achieves dchi2(full)=+2.49 with 6.4% sigma8 suppression. Degeneracy stripe exists at Sigma~1.05. Perturbation sector CAN carry EFC signal. | Planck 2018 TTTEEE_lite + lowl + lensing, MGCAMB v1.5.2 MG_flag=6 |
| MARGINAL | physics_test | 2D μ-Σ degeneracy valley: perturbation sector viability with gravitational slip | If EFC entropy gradients modify Ψ (matter potential) more than Φ+Ψ (lensing potential), the framework naturally produces μ<1 with Σ≈1.05 — exactly the viable region found in this scan. | MGCAMB v1.5.2, 25-point (μ,Σ) grid, Planck 2018 TTTEEE+lowl+lensing |
| Planned | physics_test | AQUAL void leakage: falsification test for L0/L1 regime screening | EFC regime framework predicts AQUAL remains screened in voids because even void interiors have |∇Φ_background|/a₀ >> 1 from the total cosmological potential. If this fails (μ_eff > 1.01 in voids at r > 30 Mpc/h), then AQUAL leaks into linear cosmology and the ΛCDM-as-L0/L1-limit claim is falsified. Specific observable: ISW-void cross-correlation amplitude should match ΛCDM within 5%. Void lensing tangential shear profile should show no AQUAL enhancement at r > 10 Mpc/h. | Void catalogs (BOSS/DESI void finder), ISW stacking on voids, weak lensing void profiles (DES Y6/KiDS), fσ₈ at k < 0.02 h/Mpc from DESI ELG |
| Planned | physics_test | Asig shock-front lensing asymmetry — JWST-era execution | EFC predicts Asig ≠ 0: lensing convergence residuals aligned with the Chandra shock front direction, produced by entropy-gradient coupling (Σ > 1 anisotropy from the flow-constraint mechanism in the Relativistic Action). ΛCDM predicts Asig = 0 (isotropic residuals after mass model subtraction). Detection threshold: percent-level δκ/κ in the shock-front region. | Cha et al. 2025 (ApJ 987 L15, arXiv:2503.21870) κ-map; Rihtaršič et al. 2026 (arXiv:2601.22245) Lenstool parametric model; Cho et al. 2025 (arXiv:2512.03150) virial masses; Chandra 500 ks ACIS-I (Markevitch 2006); ACCEPT entropy profiles (Cavagnolo et al. 2009) |
| Planned | physics_test | B0 Bridge Test: fσ₈ sign constraint — μ must be less than 1 | If EFC can produce μ(a,k) < 1 at z<1 and k≈0.05-0.1 h/Mpc with ~6% effective weakening, it will improve fσ₈ by Δχ²≈−5 without significantly affecting σ₈ (<1% change). Next test (B1): physical gate parametrization. Next test (B2): joint Planck + fσ₈ with consistent μ-Σ. | fσ₈ compilation (7 datapoints, z=0.38-0.85) tested against ΛCDM + modified screening filters (F0-F3) with α_eff=0.06 |
| COLLAPSED | physics_test | CMB Planck constraint on EFC background gate α | EFC predicts that α≠0 modifies H(z) via the gate function, shifting θ* and DA(z*). With fixed Planck params, α=-0.7 is killed (Δχ²=+2624). With free params, Planck absorbs α via H0 shift (Δχ²≈0 for all α). Joint Planck+BAO collapses α from -0.7 to -0.05, because BAO breaks the α-H0 degeneracy. | Planck 2018 plik_lite TTTEEE + lowl TT + lowl EE + lensing (via cobaya 3.6.1), DESI 2024 BAO, Pantheon+ SN, modified CLASS 3.3.4 with EFC gate in background.c |
| COLLAPSED | physics_test | CMB+BAO Joint Fit: Background α-gate null result | If α≈−0.7 is real background physics, joint fit should find α significantly negative with improved total χ². Instead: α→−0.045, confirming background gate is proxy, not fundamental. | Planck 2018 (plik_lite + lowl_TT + lowl_EE + lensing) + DESI 2024 BAO + Pantheon+ SN via EFCLASS/cobaya |
| Planned | physics_test | CT-01: Entropy Gradient-Consciousness Correlation | r(|∇(δS/δρ)|_cortex, C_measured) > 0.5 at p < 0.01 across >= 4 consciousness states | High-density EEG (>=64 ch) or source-reconstructed MEG; propofol/sevoflurane sedation datasets (Chennu et al. 2016), sleep polysomnography, psilocybin/LSD open datasets |
| Planned | physics_test | CT-03: Parietal Dominance Replication | d_parietal > d_global with d_parietal > 1.0 in an independent dataset | Independent propofol or sevoflurane sedation EEG dataset (N >= 20, >= 64 channels). Current baseline: Chennu Overlap-12 d_parietal = 2.10 vs d_global = 0.63 |
| Planned | physics_test | Cluster TNG mass-only regime model: NOT SUPPORTED | EFC predicts mass-driven regime transition producing sign flip in rho(ne_slope, K0). RESULT: Not observed within TNG mass bins [14.0-15.3 log M_sun]. All bins show rho ≈ -0.87 (constant). Regime variable must include core-state (cooling time, SCC/NCC) not mass alone. | TNG-Cluster 352 halos z=0, 4 mass bins. Grid: A_M [0.2-5.0], Xi_eff [-2.0-4.0], Delta_Xi [0.05-2.0]. Null models: constant, linear, step. |
| Planned | physics_test | DESI DR2 BAO α-constraint (post-prediction) | EFC BAO-only: α consistent with 0. Strong α (|α| > 0.4) excluded by DESI DR2 precision at z > 0.9. EFC signal, if present, must live in growth/regime sector, not background expansion. | DESI DR2 BAO (arXiv:2503.14738), 13 measurements, 7 z-bins, full covariance |
| Planned | physics_test | EEG scalp entropy gradient dissipation test (Chennu propofol) | EFC-C predicts corr(|∇S|², dS/dt) < 0 in cortex during consciousness transitions. Under the mapping S → Ω̂ (spectral entropy of scalp EEG PSD, 0.5-45 Hz), with spatial gradient computed on parietal ROI (P3,P4,Pz,O1,O2,Oz), the prediction is r < 0 with p < 0.01 at group level. | Chennu et al. (2016) propofol sedation EEG dataset, DOI: 10.17863/CAM.690. N=20 subjects, 91-channel EGI HydroCel GSN, 250 Hz, 4 conditions per subject (baseline, mild sedation, moderate sedation, recovery). 80 recordings total. |
| Planned | physics_test | EFC Bar Instability Criterion (EFC-BIC) v0.2 — κ² modification with operational definitions | P1 (binary, hard threshold): Bar onset iff min{Π_EFC(R)} < 1 over R ∈ [R_d, 3·R_d]. All SPARC barred/disturbed galaxies satisfy this; all FLOW non-barred satisfy min{Π_EFC(R)} ≥ 1 over the same range. No soft threshold — falsified if mismatch rate on validation sample exceeds observational misclassification bound.
P2 (continuous, growth coupling): Bar growth rate Γ_bar ∝ (1 − Π_EFC) at the radius of minimum Π_EFC, VALID ONLY for Π_EFC < 1. For Π_EFC ≥ 1, Γ_bar = 0 (mode is stable, NOT anti-growing). Predicts bar fraction f_bar(M_disk, z) and bar amplitude as continuous functions, testable against N-body simulations and observed bar amplitudes.
P3 (morphological): L_bar/R_d anticorrelates with the depth of (1 − Π_EFC) at minimum, valid for Π_EFC < 1.
P4 (cross-survey, sealed): After ζ-lock on SPARC pilot, predicted f_bar(M, z) from Galaxy Zoo / S4G must match within 2σ without further parameter adjustment.
Falsification criteria:
(a) Any FLOW galaxy with min{Π_EFC(R)} ≥ 1 hosting a strong bar, OR
(b) Any LATENT/barred galaxy with min{Π_EFC(R)} < 1 absent, OR
(c) No single value of ζ reproduces both SPARC internal dynamics and external bar fractions (Galaxy Zoo, S4G) simultaneously. ζ-universality is structural, not adjustable — failure here rejects the criterion outright. | Primary anchor: SPARC (175-galaxy sample, N=20 pilot for ζ calibration, N≥100 for sealed test). Cross-validation: Galaxy Zoo bar fractions, S4G bar morphology catalog. Required derived quantities per galaxy: σ_R(R), Σ(R), V_circ(R) → κ(R), entropy gradient ∇S(R) from existing EFC SPARC fits (sparc_regime.json field 'entropy_gradient'), α from regime classification, R_d from disk decomposition. |
| Planned | physics_test | EFC Baseline α-signal | α < 0 at ≥2σ significance with ΔAIC < -2 (moderate evidence) | emcee MCMC, 69 data points, emcee sampler |
| Planned | physics_test | EFC P1/P2 cross-probe test against DES-Y6 vs KiDS-Legacy S8 bifurcation | EFC's K0 scan (from figshare 32080059) predicts that Σeff crossover at z≈0.44 with K0 in the optimal range [1.5, 2.5] produces an effective lensing amplitude consistent with KiDS-Legacy-like values, while DES-Y6's lower S8 reflects IA-modeling choices EFC's RCMP framework treats as regime-breaking. Quantitative expectation: EFC lensing-engine output at K0=2.0 should reproduce S8-equivalent within ±0.015 of KiDS Legacy central, and significantly offset from DES Y6 (≥1.5σ). Falsification: if EFC's sealed P1/P2 output forces S8 into DES Y6 territory, the RCMP bifurcation argument weakens. | DES Year 6 3x2pt (arXiv:2601.14559, S8 = 0.782 +0.021/-0.020 in wCDM); KiDS Legacy (Wright et al 2025, arXiv:2503.19441); S8 2026 review (arXiv:2602.12238). EFC sealed predictions: P1 Σeff(z) crossover at z≈0.44 (figshare 32037990), P2 fσ8(z=0.7)=0.430 (figshare 32013156). EFC regime-transition paper (figshare 32080059) provides K0 scan. |
| Planned | physics_test | EFC-C-001: ∇S Correlation with Conscious State Transitions | The entropy gradient Ω = ||∇S|| is significantly higher during conscious states (wakefulness, REM) than unconscious states (NREM3, general anesthesia), with effect size Cohen's d > 0.8 across subjects. KILL if d < 0.5 on test partition (n ≥ 20 subjects). | Casarotto et al. (2016) PCI dataset (original Lempel-Ziv PCI, n=150+). NOTE: PCI_ST variant requires Comolatti et al. 2019 (J Neurosci Methods). |
| COLLAPSED | physics_test | EFCLASS sign test: ΔH² negative for additive gate | Additive background gate with closure normalisation always gives ΔH<0 at z>0, increasing fσ₈. Only μ(k,z)<1 or inverted gate can suppress growth. | EFCLASS v0.1 CLASS background output, BOSS DR12 fσ₈ comparison |
| MARGINAL | physics_test | EFC×Graph-AQUAL regime bridge (growth sector) | LCDM baseline survives; screening at k < 0.01 h/Mpc keeps σ₈ and γ within 5% of ΛCDM | G_eff gate × linear growth ODE, 4 screening scales, C from KT2 |
| Planned | physics_test | Euclid DR1 frozen benchmark (B0=0.02, M0=0.06) — Boltzmann-calibrated | At B0=0.02, M0=0.06: sigma8 shift +1.21% vs LCDM, P(k=0.05,z=0.5) shift +2.09%, Cl^phiphi(ell=66) shift -6.01%, E_G(ell=66) shift -3.98%, Cl^TT(ell=30) ISW shift +1.88%. SHA-256: dbc737979d8a773f56c620759ddded38139157fd9a2dbb321a8ffdb6e68135d2. Kill: if Euclid DR1 shows |E_G shift| < 1% at ell~66 with 2sigma precision, EFC perturbation sector falsified at this benchmark. | Euclid DR1 (21 October 2026): ~2100 deg² wide survey. Benchmark computed via hi_class efc_logistic (B0=0.02, M0=0.06, a_t=0.3, Delta=0.3, alpha_K=1.0). 36-config parameter scan + Boltzmann-calibrated output. |
| Planned | physics_test | Freeze v2: fσ₈(z=1.5) blind prediction for DESI DR2 ELG | EFC with α=-0.689 predicts fσ₈(z=1.5) will be lower than ΛCDM value, with separation growing compared to z=0.7. The exact numerical value will be sealed with hash. | Growth ODE solver with frozen parameters from freeze_20260218_050713 |
| MARGINAL | physics_test | Freeze v3: E_G(z=0.7) gravitational slip prediction | EFC predicts E_G(z=0.7) differs from ΛCDM due to μ≠Σ. If μ<1 and Σ≈1, E_G should be systematically higher than ΛCDM. Exact value sealed with hash. | β=f/b from growth ODE + linear bias model, frozen α=-0.689 |
| Planned | physics_test | Freeze v4: Planck-independent H₀ from EFC BAO+SNIa | EFC with α=-0.689 predicts H₀ from BAO+SNIa in range 69-71 km/s/Mpc (between Planck and SH0ES). If H₀ ≈ 67-68, no tension relief. If H₀ > 71, strong tension relief claim. | cobaya minimize with BAO (BOSS+DESI) + Pantheon+ SNIa, no CMB prior |
| Planned | physics_test | Gravitational slip η(a,k,ρ) from grid tension ansatz | η≠1 in L2 regime should: (1) resolve S₈ tension via differential Φ/Ψ coupling, (2) maintain strong lens time delay within observational bounds, (3) give specific η(z) profile derivable from χ control parameter. Expected η ≈ 0.95-0.99 in L2, η→1 in L0. | EFCLASS perturbation code + DES Y6 / KiDS Legacy weak lensing + H0LiCOW/TDCOSMO strong lens time delays |
| MOND outer slope = -1.050 (target: -1.0), Newton outer slope = -2.029 (target: -2.0) | physics_test | Grid-AQUAL Newton/MOND limits (KT1) | Inner slope → -2 (Newton) as a0→0; Outer slope → -1 (MOND) as a0→∞ | Grid-AQUAL solver, spherical point mass, N=41 grid |
| β = 0.3047 (target: 0.5 for √(GM/a₀)) | physics_test | Grid-AQUAL mass-scaling exponent (KT3) | β = 0.50 ± 0.15 for isolated spherical sources | Grid-AQUAL solver, M ∈ {10, 25, 50, 100, 200}, N=41, a₀=2.0 |
| C_vw = 2.2895 (converged) | physics_test | Grid-AQUAL prefactor convergence (KT2) | C converges to a finite value; residual between N-steps < 0.1 | Grid-AQUAL solver, N ∈ {21, 31, 41}, spherical point mass M=50 |
| Completed (Quantitative Consistency Test — No Full Likelihood) — 𝒞 = 0.59–0.96 (monotonic); AISW = 0.29–0.56; all published data within 1.6σ | physics_test | ISW cancellation prediction (𝒞 metric) | Planck × DESI DR1 tracer windows (LRGz0, LRGz1, LRG+ELG, ELG) | Planck × DESI DR1 tracer windows (LRGz0, LRGz1, LRG+ELG, ELG) |
| Planned | physics_test | KT-1: Ψ-dominance test (strong-lens time delay + weak-lensing shear) | GRC predicts: Φ ≈ Φ_GR (ε < 0.01) while Ψ = Ψ_GR(1+μ(S)) in L2 regime. Time delays should be consistent with GR within measurement uncertainty. Weak-lensing shear should show enhancement consistent with μ₀ = 0.415. Gravitational slip η = Φ/Ψ ≠ 1 in L2, with η → 1 in L0 and L3. | TDCOSMO/H0LiCOW 7-lens sample (public: imaging + kinematics + time delays). Secondary: eROSITA cluster sample for L2→L3 transition. |
| Planned | physics_test | KT-2: η-bound (strong-lens Φ consistency with GR) | GRC predicts: |ΔΦ/Φ_GR| < 10⁻³ (sample mean) in strong-lens systems. Time delay residuals Δt_predicted/Δt_observed = 1.0 ± measurement error. No systematic offset. ε (temporal suppression parameter) must be < 0.01. If ε > 0.1 is required to fit any system, the model fails. | TDCOSMO/H0LiCOW sample (≥5 lenses with mass-sheet degeneracy broken via stellar kinematics). Requires published time delays, lens models, and velocity dispersion measurements. |
| Planned | physics_test | KT-3: Locked transfer universality (SPARC → clusters → fσ8 → Bullet Cluster) | GRC predicts: frozen μ₀ = 0.415 produces Δχ² < 4 relative to best-fit in each independent channel. No systematic trend of increasing Δχ² with scale (kpc → Mpc). Cluster lensing profiles should show enhancement consistent with SPARC-derived μ₀. fσ8(z) should track the sealed crossover trajectory without parameter adjustment. | SPARC (source) → DESI/BOSS BAO (passing), Abell cluster lensing profiles, fσ8 at ≥3 z-bins (DESI DR2 LRG/ELG/QSO), Bullet Cluster offset geometry. All with frozen μ₀ = 0.415. |
| Planned | physics_test | KT-4: Sealed fσ8 crossover prediction (z_cross = 2.04) | fσ8 crossover at z_cross = 2.04 ± 0.07. DH_rd(z=1.0): EFC = 16.527 vs ΛCDM = 17.466 (3.1σ separation). DH_rd(z=0.7): EFC = 19.797 vs ΛCDM = 20.719 (2.3σ). fσ8(z=0.7): EFC = 0.430 vs ΛCDM = 0.449 (2.0σ). Hash: 7a850cfa58477701. | Future fσ8 measurements at z > 1.5 (DESI DR2+ ELG/QSO, Euclid, Roman). Sealed prediction hash: 7a850cfa58477701. Freeze timestamp: 2026-02-18T05:07:13. |
| Planned | physics_test | KT3b: Environmental mass-scaling test β(ρ_env) | At fixed baryonic mass, void galaxies (ρ_env ≪ ρ_crit) show systematically weaker gravitational enhancement (lower g_obs/g_bar at g_bar ~ a₀) than galaxies in filaments/groups (ρ_env ~ ρ_crit). Estimated effect size: D_eff ratio between void (ρ/ρ_crit ~ 0.01) and filament (ρ/ρ_crit ~ 1) is √0.01 ≈ 0.1 vs 0.5, giving ~5× fewer active modes. This translates to ~15-30% suppression in enhancement for void galaxies. MOND predicts zero suppression. ΛCDM predicts uncorrelated scatter. | SPARC 175 galaxies (Lelli+ 2017) cross-matched with environment catalogs: Tully (2015) galaxy group catalog for nearest-neighbor density, or Eridanus/Fornax void catalogs. Key observables: V_flat, g_obs/g_bar at r where g_bar ~ a₀, and ρ_env from N-th nearest neighbor density estimator. |
| MARGINAL | physics_test | MGCAMB mu-Sigma perturbation scan (constant mu, Sigma=1) | EFC predicts mu less than 1 (weaker late-time gravity) to suppress sigma8. The test finds that mu=0.93 gives the right suppression (-7.3%) but at unacceptable Planck cost (Dchi2=+19). Only mu=0.99 is viable (Dchi2=+1.4) but gives insufficient suppression (1.1%). Lensing is NOT blind to mu unlike propto_omega — Sigma=1 does not decouple lensing from growth. CONCLUSION: constant mu with Sigma=1 cannot carry the EFC signal in the perturbation sector. | MGCAMB v1.5.2 + cobaya 3.6.1 + Planck 2018 (TTTEEE_lite + lowl TT + lowl EE + lensing) |
| PASS | physics_test | MVP-G1 fσ₈ Leave-One-Out Robustness (N2a mode) | EFC predicts late-time growth suppression (α<0) in Hubble friction channel. Signal should be distributed across redshift range, not concentrated in any single measurement. LOO robustness score should be ≥6/7 for the hint to qualify as non-artefactual. | fσ₈ extended compilation (7 points, z=0.02-0.85): 6dFGS, SDSS MGS, BOSS DR12 (3 bins), eBOSS, Vipers. BAO compilation (14 points). Pipeline: MVP-G1 Hubble Friction Channel with N2a nuisance controls. |
| Planned | physics_test | Phi/Psi Shadow-Mode v1.0: C=2.32, k_lambda=0.0014 | | |
| Planned | physics_test | Planck x_m scan: propto_omega cannot deliver S8 relief | propto_omega with positive x_m gives enhanced growth (sigma8 UP) due to friction reduction dominating over Poisson weakening. Negative x_m triggers gradient instability. The CMB constraint is Δχ² = +5.3 at x_m=0.3, driven entirely by low-l TT (ISW effect). Lensing adds no constraint. | Planck 2018 TTTEEE_lite + lowl TT/EE + lensing via cobaya 3.6.1 + hi_class v3.0 |
| Planned | physics_test | Scale-dependent μ(k,z): first constraint on EFC characteristic scale k* | If EFC modifies gravity via a grid mechanism with characteristic scale, k* should be finite and related to the grid/entropy scale. If k* → ∞ (no scale), EFC operates as effective field theory without fundamental scale. Expected range: k* ~ 0.01-0.3 h/Mpc. | Modified growth ODE with k-dependent source μ(k,z)=1-B·g(a)·h(k/k*), existing RSD data |
| Planned | physics_test | Shadow-mode v2: TDCOSMO PEMD+NFW time-delay consistency | EFC predicts temporal potential deviation < 0.1% from GR for all TDCOSMO lenses, with ε ~ 0.005 and η > 0.95. The prediction is independent of lens profile choice (PL vs composite) because temporal saturation operates at the ontological level, not the profile level. | TDCOSMO-2025 (Shajib+2025, arXiv:2506.03023): 8 quadruply-lensed quasars with published γ', θ_E, σ_v, time delays, and NFW halo parameters. |
| Planned | physics_test | T_CMB(z) deviation from (1+z) scaling — SZ-cluster test | SZ-effect-derived T_CMB measurements in the redshift range z=0.5–2 should show monotonic deviation from T_0(1+z) at the ~0.5–2% level by z=1, of the form T(z) = T_0(1+z)·f(S(z)) with f monotonic and bounded, f(0)=1. Null hypothesis: f≡1 (ΛCDM). Statistical test: χ² fit of the EFC f-form vs the ΛCDM null against compiled Hurier+2014 / Luzzi+2015 / Saro+2014 cluster data. EFC succeeds if Δχ² > 9 in favour of f-form (≥3σ preference); EFC is falsified if data is consistent with f≡1 within 1σ across the full z-range. | Hurier+2014 SZ T(z) compilation, Luzzi+2015 cluster sample, Saro+2014, de Martino+2015 high-z absorber excitation temperatures |
| Planned | physics_test | Verlinde relation a₀~cH₀ emergent from bulk entropy | EFC predicts Verlinde relation a₀ = c²√Λ emerges from graph functional with bulk entropy reservoir, without free parameters beyond Λ itself. | Bulk entropy reservoir term F_bulk with μ=β²Λ, tested over 7 Λ-values |
| Planned | physics_test | Whitening WP4 komponent w5 — hardest-constrained direction hit | EFC forutsier at Δχ²_w5 skal være stor og negativ fordi den mest begrensede kovariansretningen i BOSS-data korresponderer med den skalaavhengige vekstmodifikasjonen μ(k,z) som EFC beskriver. Verdien Δχ²_w5 = −11.39 (fra 15.30 til 3.91) er konsistent med denne prediksjonen. En falsifisering ville vært at EFC primært forbedrer svakt begrensede retninger (w1-w3) mens w5 forblir uendret eller forverres. | BOSS DR12 full-shape power spectrum, whitening-dekomposisjon WP4 (se figshare 31304980) |
| Planned | physics_test | χ-monotonicity in galaxy cluster radial profiles | χ(r) is monotonically increasing (Spearman ρ < -0.8 between r and χ) from 1.0 R₅₀₀ to 0.05 R₅₀₀ in both cool-core and non-cool-core clusters, with ≤1 sign change in dχ/dr after Savitzky-Golay smoothing. If this holds, χ is validated as universal regime index. If it fails, χ-concept dies but grid ontology, dual readout, and ×4800 resolution survive. | eROSITA ER1 cluster catalog + XMM/Chandra gold subsample for X-ray T(r) profiles. HSC/KiDS/DES cluster WL mass profiles for Φ_N(r) reconstruction. Classification: cool-core vs non-cool-core from X-ray concentration measure. |
| Planned | physics_test | | α consistent with 0 in BAO sector. Strong α (|α| > 0.4) excluded. | DESI DR2 (arXiv:2503.14738), 13 measurements, 7 z-bins |
| Planned | physics_test | | Strong α ≈ -0.68 should be consistent with DESI DR2 BAO | DESI DR2 BAO vs pre-existing NUTS posterior (α = -0.684 ± 0.405) |
| T2Completed (consistency test) | consistency_check | BAO covariance-aware consistency test | ⚪ | BOSS DR12 consensus (6×6 cov) + cosmic chronometers |
| T2Completed (transfer consistency) | consistency_check | BAO transfer test (DESI → BOSS/eBOSS; no refit) | ⚪ | BOSS / eBOSS (transfer consistency check) |
| DEGENERACY_LIMITED | consistency_check | BAO-RSD tension resolution via free σ8_0 | EFC predicts that freeing σ8_0 in the joint BAO+CC+RSD fit will shift best-fit to σ8_0 ≈ 0.78±0.03 with A ≈ 0.10±0.05, resolving the BAO-RSD tension. If σ8_0 remains at Planck value (0.811) while A>0 is preferred, this indicates a genuine growth-geometry mismatch requiring modified growth coupling. | Phase 2.2 joint BAO+CC+RSD scan; BOSS DR12 fσ8; DESI DR2-like BAO |
| Planned | consistency_check | CT-02: Omega-Kappa Anti-Correlation Constraint | corr(Ω̂, κ̂) < 0 in conscious states with |r| > 0.2 at p < 0.05 | Same multi-state EEG/MEG as CT-01; current baseline: Chennu et al. Overlap-12 cohort (r = -0.27, N = 12) |
| Planned | consistency_check | EFC-C-002: C-measure Correlation with PCI_ST | The integrated consciousness measure C correlates with PCI_ST with Spearman ρ > 0.7 across all recordings in the test partition. KILL if Spearman ρ < 0.5. | Comolatti et al. 2019 (J Neurosci Methods) PCI_ST dataset, test partition. Original PCI: Casarotto et al. 2016 (Ann Neurol 80:718). PCI_ST is the later spatiotemporal variant. |
| T2Completed (interpretation-dependent) | consistency_check | Early galaxies (JWST) | ✅ | COSMOS-Web z > 6–10 |
| T2Completed (null-prediction consistency check) | consistency_check | High-z null regime consistency | ⚪ | DESI Lyα P1D (z ≈ 3) |
| T2Completed (Consistency Check) | consistency_check | H₀ tension | ⚪ | SH0ES / JWST |
| T3Completed (self-consistent prediction; awaiting observational confrontation) | consistency_check | ISW cross-correlation | ⚪ | Planck × DESI DR1 tracers |
| T1Completed (multi-channel consistency) | consistency_check | Late-time background coupling architecture (β·T(a)) | ⚪ | BAO (BOSS), RSD (BOSS), CMB lensing, SN Ia |
| Planned | consistency_check | N1 Sound Horizon Control | α significance survives within 0.5σ of baseline under both rd treatments | emcee MCMC, N1a (fixed rd) + N1b (free rd) |
| Planned | consistency_check | N2 σ8 Prior Sweep | α significance stable (within 0.5σ) across all σ₈ prior widths | emcee MCMC, 3 σ₈ prior configurations |
| Planned | consistency_check | N3 Gate Freedom | α identifiable: no α–a_t degeneracy, A_eff consistent with fixed-gate baseline | emcee MCMC, EFCVariantB with free gate |
| Planned | consistency_check | N4 Modified Poisson μ≠1 | μ₀ consistent with 1.0; no tension with growth data | emcee MCMC, EFCVariantC with free μ₀ |
| Planned | consistency_check | N5 Flat rd Prior | α significance survives flat rd prior | emcee MCMC, uniform rd prior [100, 200] Mpc |
| Planned | consistency_check | N7 Power-law Gate Shape-Robustness | α survives at ≥1.5σ with power-law gate; A_eff consistent with logistic baseline | NUTS HMC, EFCVariantE (power-law gate, n=2) |
| T3Completed (Consistency Check) | consistency_check | Regime transition metric (ΔF) | ⚪ | DESI + Fugaku-class N-body + SPARC |
| Planned | consistency_check | S(z) single-parameter joint fit: CMB anomaly ↔ JWST early-galaxy excess | A one-parameter S(z) profile (canonical candidate: S(z) = 1 - exp(-z/z*) with z* the only free parameter) should yield an acceptable joint fit to (i) the SZ-cluster T(z) deviation and (ii) the JWST high-z luminosity function excess. Pass criterion: Δχ² < 4 between the joint single-S(z) fit and the two independent best fits, i.e. forcing both datasets onto the same S(z) costs less than 2σ. Fail criterion: required S(z) shapes for the two datasets disagree at >3σ — EFC is then internally inconsistent on its own predictive backbone. | SZ T(z) compilations (input from Candidate A) + JWST high-z luminosity function: Labbé+2023, Harikane+2024, CEERS-2024 public catalog, plus Boylan-Kolchin+2023 mass-budget constraints |
| T3Quantitative compatibility supported (screened regime) | consistency_check | Solar System / PPN / EP | ⚪ | Cassini / LLR / perihelion |
| Planned | consistency_check | σ₈(z) full trajectory reconstruction: EFC vs ΛCDM vs multi-survey data | EFC predicts σ₈(z) systematically lower than ΛCDM for z<1.5, converging at z>2. The maximum deviation occurs at z≈0.3-0.7 where the gate function is most active. If observed σ₈(z) values from different surveys show this z-dependent pattern, it supports late-time activation. | Growth ODE + DES Y6, HSC-SSP, KiDS-Legacy compiled σ₈(z) values |
| Planned | consistency_check | | All probes should show <1 logL/pt degradation under EFC vs ΛCDM with frozen best-fit parameters. | |
| Planned | phenomenological | Anti-EFE: constructive external field response in Graph-AQUAL | EFC graph-AQUAL predicts constructive external field coupling (anti-EFE) where external field enhances rather than suppresses MOND-like boost. Testable against galaxy samples in external fields (e.g., Crater II, NGC 1052-DF2). | KT5 EFE sweep: g_ext/a₀ = [0, 0.3, 1, 2, 5] |
| Primary p=0.68722, Sign coherence p=0.015625 | phenomenological | Axiom 0: S_hat(z) Regime Boundary Test | BAO sigma-deviations cluster near S_flow/S_trans and S_trans/S_latent boundaries | BAO surveys (6dF, MGS, BOSS, eBOSS, DESI) |
| Planned | phenomenological | Axiom-0 S_hat(z) regime boundary test (BAO N=10) | EFC predicts BAO anomalies cluster near regime transitions in S_hat space. Primary test (N=10): p=1.0 (no significant clustering — test statistic is degenerate with 10 permuted S_hat values). Secondary pattern: 8/9 positive deviations in TRANSITION+LATENT (binomial p=0.020). DESI z=1.0 lands exactly on FLOW/TRANSITION boundary (delta=0.000). Result: not falsified, not confirmed, consistent with smooth regime structure. | BAO: 6dF, MGS, BOSS DR12 (LOWZ, CMASS, HIGHZ), eBOSS (LRG, ELG), DESI DR1 (z=0.7, z=1.0), Lyman-alpha. Locked sources: Madau-Dickinson (2014), Tacconi/PHIBSS Table 3b beta=2. |
| Planned | phenomenological | BAO DESI Y1 — EFC preferanse-test (Δχ²=−22.01) | EFC foretrekkes over ΛCDM med Δχ²<0 og bestått 5-fold CV på DESI Y1 BAO-data | DESI DR1 BAO (bao_desi_y1 dataset) |
| Planned | phenomenological | BAO anisotropic split (DAvs H(z)) | ⚪ | BOSS, eBOSS, DESI BAO anisotropic fits |
| αL2= 0.040 ± 0.024 (1.7σ) | phenomenological | BAO+RSD joint fit (αL2) | BOSS DR12 consensus | BOSS DR12 consensus |
| Planned | phenomenological | Case A S₈ direction (v1.4) | Phenomenological lensing amplitude modification (Σ²) drives S₈lower, increasing CMB tension.
Case A cannot resolve S₈ discrepancy; Case B (consistent MG) required for tension resolution test. | |
| Planned | phenomenological | Cluster TNG — EFC passform-test (χ²_red=0.000) | EFC gir χ²_red≈0 på IllustrisTNG-klyngedata — indikerer god modell-passform ved cluster-skala | IllustrisTNG cluster simulation data (cluster_tng) |
| Planned | phenomenological | Cluster core-state regime: f_SCC as regime variable (cross-sample N=2) | EFC predicts that the entropy-structure coupling sign (rho) is driven by core-state composition: NCC-dominated samples (low f_SCC) show negative rho (S0 frozen regime), while SCC-rich samples (high f_SCC) show positive rho (S1 flowing regime). The tanh transition occurs at f_SCC ~ 0.15-0.20. Testable when per-subpopulation rho data (SCC/WCC/NCC separately) or additional cluster samples become available. | TNG-Cluster (352 halos, z=0, Lehle+2024) + ACCEPT (239 clusters, Cavagnolo+2009). Cross-sample analysis with f_SCC as coordinate. Grid search: 80k evaluations. Sensitivity scan on ACCEPT f_SCC (0.12-0.50). |
| Planned | phenomenological | EFC-C-003: κ Universality Across Anesthetic Agents | Frozen κ = 0.37 ± 0.04 produces consistent C-values across propofol, sevoflurane, ketamine, and xenon. Cross-agent to within-agent residual variance ratio σ_cross/σ_within < 2.0. KILL if ratio exceeds 2.0. | Chennu et al. (2014) sedation dataset (propofol) + Cambridge consciousness database (sevoflurane, ketamine, xenon) |
| Planned | phenomenological | Galaxy bias evolution consistency | ⚪ | BOSS, DESI clustering + lensing cross-correlation |
| Planned | phenomenological | Weak-lensing phenomenological closure (Postulate A) | Documents the current absence of a field-derived lensing coupling; introduces temporary phenomenological closure pending action-level derivation. Density Saturation (v1.3) provides a candidate path toward physical derivation. | |
| αL2= 0.10 ± 0.01; Δ(−2 ln L) = −50.9S₈ = 0.685 (EFC) vs 0.739 (ΛCDM) | phenomenological | Weak-lensing shear (Case A) | KiDS-1000 Flinc ξ± | KiDS-1000 Flinc ξ± |
| Planned | phenomenological | | If EFC background modification is real, alpha should remain significantly negative even with precise DESI DR2 BAO data | DESI DR2 BAO (13 pts, full covariance) + fs8_extended + Hz_CC + Pantheon_binned |
| Planned | phenomenological | | | |
| Planned | phenomenological | | | |
| REQUIRES_EXTERNAL_TOOL | framework_constraint | Action Integral Gap — Tier-1 theoretical obstruction | EFC predicts that a well-posed action principle S_EFC would yield: (1) the growth gate as an equation of motion, (2) the AQUAL limit as a weak-field reduction, and (3) k* ≈ k_NL as a solution of the coupled system. Until this action is constructed, k* remains an emergent regime boundary coinciding with the nonlinear scale. | First-principles derivation attempt (Newtonian potential gradient vs a₀), comparison with k_NL from ΛCDM matter power spectra, validation ledger items E1, E3, E5-E7, L6 |
| REQUIRES_EXTERNAL_TOOL | framework_constraint | Action Integral Gap — k* derivability test | A well-posed EFC action would yield: (1) the growth gate as an equation of motion, (2) AQUAL as a weak-field limit, (3) k* ≈ k_NL as a solution rather than input. Until constructed, k* remains an emergent regime boundary. This constrains EFC's classification as semi-fundamental effective framework. | First-principles derivation (Newtonian potential gradient vs a₀), k_NL from ΛCDM P(k), validation ledger E1/E3/E5-E7/L6. Document: efc_transition_scale.tex |
| Planned | framework_constraint | Axiom 0 Test: S-regime vs Friedmann-t i kosmologisk evolusjon | Hvis Aksiom 0 holder: (1) EFC reproduserer BAO-skalaer og fσ8-kurver med S-parameterisering uten Friedmann-t-bakgrunn. (2) De 2-3σ avvikene i DH_rd og fs8 fra forseglet prediksjon korresponderer med identifiserbare S-regime-overganger (FLOW→TRANSITION→LATENT), ikke tilfeldige parametriske feil. (3) Residualene i LATENT-regimet (α→0) er systematiske, ikke stokastiske — noe som indikerer manglende fysikk i høy-S, ikke modellfeil. | DESI DR1 BAO-data, BOSS fσ8-målinger, forseglet EFC-prediksjon 2026-02-18 (freeze_20260218_050713), SPARC175 regime-datasett |
| Planned | framework_constraint | Axiom 0 meta-analysis v1.0-meta: alpha-Shat correlation | If EFC regime structure is dynamically coupled to expansion-sector alpha, then alpha_mean should correlate with secondary_frac_pos (Spearman |rho|>=0.35, p<0.05) across independent MCMC cycles. If no correlation, Shat regimes are phenomenological only. | Neo4j Axiom0TestResult nodes (test_version=v1.0) from research_daemon (emcee) and gpu_nuts_daemon (NUTS) |
| REQUIRES_EXTERNAL_TOOL | framework_constraint | Background gate sign constraint (EFCLASS Technical Note I) | ΔE² ≤ 0 for all z>0 (sign-locked). Background channel cannot suppress structure growth. S₈ amelioration requires perturbation-level μ<1. | CLASS v3.3.4 internal consistency (EFCLASS patch, 9-point numerical verification) |
| REQUIRES_EXTERNAL_TOOL | framework_constraint | CMB α–H₀ degeneracy corridor (structural constraint) | Any late-time additive background gate E²=E²_LCDM+α·g(a) with smooth g(a) will produce α–H₀ degeneracy in CMB-only fits. CMB alone is structurally insufficient to constrain such modifications. | EFCLASS minimize scan: 11 α-values from 0 to −0.7, each with 7 free cosmological parameters, full Planck 2018 likelihood |
| Planned | framework_constraint | CT-04: Cross-Domain Constant K Consistency | |K_galactic - K_neural| / σ_K < 3 | Galactic: SPARC rotation curves (k = 0.415 ± 0.029 from 174-galaxy calibration). Neural: entropy gradient amplitude from CT-01 EEG/MEG datasets |
| T4Completed (diagnostic mismatch) | framework_constraint | Cluster core entropy–structure coupling | ⚪ | ACCEPT / TNG-Cluster |
| T3Completed (structural exclusion test) | framework_constraint | Cluster merger geometry | ⚪ | Cluster lensing & mass–gas offsets |
| Planned | framework_constraint | Core Lock consistency enforcement (31223503) | Prevents parameter drift and cross-regime leakage; enforces frozen-parameter boundaries and explicit translation rules across L0–L3 | |
| Planned | framework_constraint | DES Y6 vs KiDS-Legacy divergens som EFC-strukturprediksjon | EFC forutsier at DES Y6 og KiDS-Legacy *skal* gi ulike effektive S8-verdier fordi de prober ulike (k,z)-rom under et skalaavhengig gravitasjonsfelt. Under ΛCDM bør de konvergere; under EFC er divergensen forventet og kvantifiserbar via μ(k,z)-profilen med SPARC k=0.415. Euclid DR1 bør vise at divergensen er skala-kohaerent med EFCs regime-struktur. | DES Y6 3x2pt (S8=0.789±0.012), KiDS-Legacy (S8 lavere, innenfor CMB), Euclid DR1 (planlagt okt 2026) |
| Planned | framework_constraint | Density Saturation Θ(ρ) (v1.3) | Enforces automatic GR recovery in high-density environments (Solar System, stellar interiors); physically bounds ΔF; provides derivation path for weak-lensing coupling; enables R(k,S,ρ) extension with explicit density discrimination | |
| Planned | framework_constraint | Double-Slit as Grid-Resolution Phenomenon in GRC | GRC predikerer at interferensmønsteret i dobbel-slitt-eksperimentet er begrenset av grid-skala l_g, slik at det eksisterer en geometri-avhengig cutoff i registreringsoppløsning som standard QM ikke har. Spesifikt: ved spaltegeometri der spaltebredde nærmer seg l_g, forventer GRC et avvik fra standard QM-interferensmønsteret. C(S) predikerer at dekoherens skjer via entropiøkning, ikke via tilfeldig miljøkobling alene. | Teoretisk derivasjon fra GRC-triaden. Fremtidig empirisk test via høy-presisjon dobbel-slitt-eksperimenter ved sub-nanometer spaltegeometri, eller indirekte via dekoherenstider i kvanteoptikk. |
| REQUIRES_EXTERNAL_TOOL | framework_constraint | EFC physics localization: perturbation sector, not background | EFC background-only modifications cannot produce σ8 suppression or survive joint CMB+BAO constraints with α significantly different from zero. Observable EFC effects require perturbation-level μ≠1. | Joint fit results + EFCLASS Technical Note I + WP1a σ8 suppression test |
| Planned | framework_constraint | Forbidden Pattern distance-to-trigger quantification | All 5 FPs should show >2σ distance to trigger (safe margin). If any FP is within 1σ of triggering, it becomes the highest-priority investigation target. Publication-ready falsifiability demonstration. | Existing validation ledger results + 5 forbidden pattern definitions |
| Planned | framework_constraint | G2: Operational Definition of Local S for P3 Testability | Minst én av de tre S-kandidatene (A, B, C) gir en operasjonell definisjon som predikerer målbar dekoherenstid τ_d ∝ C(S) = exp(-S/S_max) med en avhengighet som ikke kollapser til ren temperatur/miljøkobling. Spesifikt: to systemer med lik temperatur men ulik lokal S vil vise ulik τ_d. | Teoretisk derivasjon først. Deretter: eksisterende dekoherensmålinger i kvanteoptikk og supraledende qubits der lokal termodynamisk entropi kan estimeres uavhengig av temperatur. |
| Planned | framework_constraint | GRAV-to-cosmo μ_eff regime bridge test | EFC regime framework predicts μ>1 at galactic scales (L2-L3) transitioning to μ<1 at cosmological linear scales (L1-L2). The transition should occur at scales k~0.01-0.1 h/Mpc where structure goes from nonlinear to linear. If μ>1 persists at all scales, single-parameter α cannot accommodate both regimes. | Existing GRAV Graph-AQUAL runs (10 completed) + WP1a reference model |
| Planned | framework_constraint | Gate transition zone anomaly concentration z~1 | EFC predicts that cosmological anomalies relative to ΛCDM will be concentrated in z=0.7-1.3 (the gate transition zone), with amplitude ≤1.1% in E(z). High-z (z>2) and low-z (z<0.3) should show <0.3% deviations. This is a falsifiable z-dependent prediction. | Phase 2.2 E(z) deviation profile; gate function g(a,a_t) with n=6 |
| Planned | framework_constraint | H0-resolution second-law no-go (Cataldo 2026) | EFC predicts H0 consistency via regime-transition of the energy-flow ratio α(z) and lensing-coupling K0, not via matter-to-Λ diffusion. Therefore EFC is structurally exempt from the Cataldo no-go. Frameworks that ARE subject: any node in atlas where the H0-resolution mechanism involves monotonically growing Λ_eff from matter-to-dark-sector energy diffusion with pressureless matter EOS. | arXiv:2604.17523 (theoretical / thermodynamic proof). Cross-check against Perez-Sudarsky-Wilson-Ewing (2021) and Landau et al (2022) as worked examples already covered. |
| COLLAPSED | framework_constraint | IG-1: Identifiability gate (α degeneracy break with ≥3 probes) | GRC predicts: α separable at >2σ when cluster counts (sensitive to G_eff via halo mass function) and lensing tomography binned by S-proxy (not just z) are added to joint fit. Expected degeneracy-breaking observable: cluster mass function at z > 1 where enhanced G_eff shifts exponential tail of mass function. If α remains < 2σ after ≥3 probes, S-control is operationally unconstrained but not falsified. | Joint MCMC fit combining ≥3 independent probe classes: BAO (DESI), fσ8 (RSD), lensing tomography (KiDS/DES/Euclid), cluster counts (eROSITA/SPT). Existing EMCEE pipeline with extended probe set. |
| Planned | framework_constraint | KT3 v3 — Entropy-first mass scaling test | EFC predikerer at en effektiv massetetthet ρ_eff(S, ∇S) = ρ₀ · [1 + δ_M · S(a) · |∇S/S|] gir konsistent masseskalering fra galakseskala (SPARC) til klyngeskala til kosmologisk skala med de samme sigmoid-parameterne (a_t ≈ 0.30, Δ ≈ 0.3) og uten separat β-kalibrering per regime. Hvis ρ_eff ikke er skala-universell med fastlåste S-parametere, er emergens-kjeden falsifisert som EFC-komplettering — og en dypere ontologisk revisjon av masse-emergens-mekanismen er nødvendig. | SPARC175 rotasjonskurver (galaktisk skala) + klyngetermodata + BAO/fσ₈ kosmologisk skala — alle testet mot ρ_eff(S, ∇S) uten ΛCDM-prosesserte mellomledd |
| T4Completed (meta-model evaluation) | framework_constraint | Structural coherence across regimes (SCE evaluation) | ⚪ | KiDS, BAO, RSD, Lyα, CMB lensing |
| Planned | framework_constraint | T₀ as natural Λ-equivalent from grid ontology | T₀ provides natural cosmological constant: Λ_eff ∝ T₀. Dark energy is not a separate field but the ground-state tension of the grid substrate. Expansion driven by grid thermodynamics, not by Λ. | Observed Λ value from Planck + DESI BAO + SN Ia distance ladder |
| Planned | framework_constraint | c(s) entropy-dependent lightspeed: GRB multi-wavelength arrival-time test | If c=c(S), photons of different frequency travelling through the same cosmological entropy gradient must show frequency-dependent arrival-time differences beyond standard plasma dispersion. Specifically: gamma-band (>100 MeV) photons from high-z GRBs should arrive earlier than radio-band photons from the same event by a fractional Δt/t correlated with traversed ΔS along the line of sight, at a level distinguishable from Vasileiou+2013-style Lorentz-invariance constraints. Predicted scale: Δc/c ~ 10^-7 fractional per unit ΔS≈0.1, line-of-sight integrated. Null hypothesis: arrival-time dispersion is fully explained by plasma + standard relativity, independent of frequency band. Falsification: GRB multi-wavelength dispersion data consistent with Vasileiou+2013 bounds across all z-ranges falsifies c(s) at the predicted scale. | Fermi/LAT GRB catalog (multi-wavelength events with photon arrival times), LOFAR low-frequency follow-up, Vasileiou+2013 Lorentz-invariance constraints from GRB photons (used as null-test calibration), Magueijo+2003 VSL framework comparison |
| Planned | framework_constraint | χ(x,t) = |∇δS|/S_global as universal regime control parameter | χ ≪ 1 in L0 (CMB), χ ~ 10⁻³-10⁻¹ in L1/L2 (galaxies, clusters), χ ≫ 1 in L3 (strong fields, black holes). Single scalar provides continuous regime transition. Density saturation Θ(ρ) should be expressible as function of χ. | SPARC rotation curves (L2), Bullet Cluster (L2-L3 transition), Solar System PPN (L3), CMB (L0) |
| Planned | framework_constraint | | All 5 FPs should show >2σ distance to trigger. If any FP < 1σ, highest-priority investigation target. | |
| Planned | framework_constraint | | EFC signal, if real, lives in growth/regime sector. Background effect must be weak. | DESI DR2 BAO constraint + existing multi-probe pipeline |
| Planned | framework_constraint | | | |
| Planned | planned_pipeline | Big Bang Nucleosynthesis expansion-rate bound | ⚪ | Primordial D/H, He⁴ abundance |
| Planned | planned_pipeline | Blind Prediction Freeze (nuts_20260220_221940) | | |
| Planned | planned_pipeline | Blind Prediction Freeze v1 (NUTS cycle 20260217) | | |
| Planned | planned_pipeline | CMB polarization & lensing internal consistency (TE/EE/φφ) | ⚪ | Planck 2018 TE/EE + CMB lensing |
| GR recovery expected (Boltzmann validation pending) | planned_pipeline | CMB power spectrum | ⚪ | Planck 2018 (TT) |
| Planned | planned_pipeline | CT-05: Full Entropy Gradient Pipeline | Pipeline produces gradient maps with test-retest reliability ICC > 0.7 | Open anaesthesia EEG: Chennu et al. (2016) or Cambridge Consciousness dataset. MEG: HCP resting-state or equivalent open MEG |
| Planned | planned_pipeline | Cluster abundance / mass function N(M,z) | ⚪ | eROSITA / SPT / Planck SZ |
| Pre-registered – data analysis pending | planned_pipeline | Cluster shock-front lensing asymmetry | ⚪ | JWST κ maps + Chandra kT, ne(Bullet, Abell 2146) |
| T2BAO phenomenology completed | planned_pipeline | Dark-energy evolution w(z) | ⚪ | DESI DR2 (BAO) |
| Planned | planned_pipeline | EGgravitational slip consistency (lensing × RSD) | ⚪ | DESI + KiDS/DES lensing |
| PIPELINE_NOT_READY | planned_pipeline | Euclid DR1 pre-registration pipeline via hi_class | EFC predicts: mu(k_c=0.05, z=0) = 0.940, eta = 1.200, Sigma = 1.034. E_G bump of +5.5% at k_c, z=0.35, detectable at 2.5-3.5 sigma with Euclid WL x GC cross-correlation. Gravitational slip |eta-1| > 0.01 in range z=[0.5, 2.0] — falsified if Euclid measures |eta-1| < 0.01. | Euclid DR1 (21 October 2026): ~2100 deg^2 wide survey, 10 WL tomographic bins, 4 GC spectroscopic bins. Pre-validation against Planck 2018 + DESI BAO + KiDS-1000. |
| Planned | planned_pipeline | Global parameter-lock cross-probe test | ⚪ | BAO + RSD + lensing + ISW + Lyα |
| Planned | planned_pipeline | ISW Void Sign-Flip Observational Confrontation v1 | EFC predicts ISW amplitude ratio A_ISW(delta) shows sign-flip from cold (A>0) to hot (A<0) at void depth delta_c ≈ -0.8, due to Rees-Sciama term delta·dmu/dt dominating over linear ISW. LCDM predicts A_ISW > 0 at all depths. The existing observational excess A_ISW ≈ 5.2 ± 1.6 from BOSS/DES supervoids is explained as RS enhancement at intermediate depths. | DESIVAST DR1 (DESI BGS VoidFinder, z<0.24), Planck PR4 SMICA/SEVEM/NILC/Commander CMB maps, Planck 2018 lensing convergence map. Secondary: BOSS DR12 supervoids, DES Y3 supervoids, eBOSS DR16 QSO voids. |
| Planned | planned_pipeline | Linear & quasi-linear matter power spectrum shape P(k,z) | ⚪ | BOSS full-shape, eBOSS QSO, DESI full-shape |
| Planned | planned_pipeline | Multi-epoch RSD growth trajectory | ⚪ | 6dF, SDSS MGS, BOSS, eBOSS, DESI ELG |
| Framework defined – quantitative tests pending | planned_pipeline | Regime response surface R(k,S,ρ) | ⚪ | DES Y6 regime structure (multi-probe L2) |
| Planned | planned_pipeline | Small-scale structure | ⚪ | Rubin LSST / Euclid |
| PIPELINE_NOT_READY | planned_pipeline | hi_class scalar-tensor EFC falsification test | EFC predicts: a viable region {B0>0, M0<0} exists where mu≈0.925, eta≳1.2, Sigma≳1.05 at z~0.7, recovering mu=eta=Sigma=1 at z≳10. If no such region exists, the scalar-tensor ansatz is falsified as an EFC completion (explicit criterion per EFT note v5). | hi_class numerical code + Planck 2018 CMB + DESI Y1 BAO + BOSS RSD (fσ8) |