Skip to main content
Back to start
The prediction surface

Sharp, falsifiable readouts

Every row is a single readout with an explicit status marker, dependency class, and a stated kill or pressure criterion. Each links to the source document that derives it — and the freeze file commits the decisive kill criteria in advance. Some rows are closed numerical tests, some are structural kill tests, some are conditional, and a few are honestly-typed non-claims.

Empirical audit — standalone experiments/ tree

search targets · not load-bearing

No discriminating empirical discovery — but a typed, reproducible, falsifiable test matrix. 120 typed scorecard rows across 12 domains — every search preregistered, surrogate-calibrated and status-typed. The dated rounds below expand to the full record.

120
typed rows
49
consistent
9
tension
26
null
33
data-limited
3
parked
FRBCMBneutrinoGWEHTX-ray (QPE/HFQPO)cosmic-raylab (g−2 / kaon / axion)dark-energycondensed-matterrecovery-channelBH-cosmology
2026-07-07New beds — UHECR spectrum + primordial power spectrumnull / data-limited

The frozen log-comb frequency confronted with the two largest untouched ranges in nature: it is absent in the Auger UHECR spectrum (76k events, MC p = 0.49), and in the primordial power spectrum — the one bed where the log-clock is motivated — the predicted 1.7% amplitude sits a factor 1.7 below today's Planck bound: a zero-parameter dated decision point for CMB-S4.

Full record ▾

The frozen log-comb frequency is confronted with the two largest untouched ranges in nature — (i) the ultra-high-energy cosmic-ray spectrum (Auger Open Data, 76k events, 0.1–144 EeV = 2.99 comb periods, the largest ln-E range anywhere; smooth model with knots frozen at the published spectral features): the kernel comb is absent (MC p = 0.49, off-kernel rank p = 0.77; injection power 97% at 5% amplitude, 23% at the predicted 1.7% — the full-statistics Auger/TA spectrum is the dated decider); and (ii) the primordial power spectrum — the one natural bed where the log-clock is MOTIVATED (inflation e-folds): the frozen ω = 2.583 sits inside the published Planck log-oscillation search band with no detection, and the predicted 1.7% amplitude lies a factor 1.7 below today's 95% bound (~2.9%) — a zero-parameter dated decision point for CMB-S4-class data (a future bound below 1.7% at the frozen frequency with no detection kills the primordial reading).

2026-07-07Operator-structure round — from visible numbers to state mixingclean null

Four probes shift the strategy from visible numbers to state mixing: the burst covariance IS block-diagonal (p = 0.006) but along the standard Faraday-vs-emission sectors; no forbidden region exists in polarization state space; the energy dynamics are memoryless (rank 0); and within-session sequences are time-reversible — an arrow-free cascade that bounds every directed-recovery reading.

Full record ▾

Four probes implement the strategy shift from visible numbers to state mixing — the burst-observable covariance IS strongly block-diagonal (p = 0.006 against a spectrum-preserving null) but the found blocks are exactly the standard Faraday-vs-emission sectors (default astro); no forbidden region exists in the polarization state space beyond the marginals; the delay-embedded energy dynamics have effective rank 0 (memoryless, no three-mode manifold); and within-session energy sequences are TIME-REVERSIBLE at catalog statistics (reversal-null p = 1.0) — an arrow-free cascade that bounds every directed-recovery reading of burst trains and matches the threshold-amplifier contract's prediction.

2026-07-07FRB ontology round — what FRBs could BE in TFPTnull / data-limited

Five preregistered axes one level above the number tests: the first named-transduction and named-clock tests come back null or data-limited, parity-without-rate holds its three predictions (but standard magnetospheric physics predicts the same), the episode-level ladder is null across 8 sources, and the Z₂ leaf-class reading fails its sharpest morphological test (BIC prefers 3 modes, not 2). A theory contract shows the 20+ intensity/timing nulls are exactly what a uniform threshold-amplifier ontology predicts.

Full record ▾

Five preregistered axes test what FRBs could BE in TFPT, one level above the number tests — (i) the first FRB axis with a NAMED transduction (bursts as probe pulses through the relaxing magneto-ionic medium; DM/RM are known linear line integrals) finds the nightly medium state of FRB 20240114A does not require a second relaxation rate (AIC prefers single memories), and the intra-session follow-up (two sources, FRB 20240114A + FRB 20201124A) finds the strong within-session RM variance carries NO temporal memory at all against an injection-validated gate — the burst-sampled scatter is per-burst/magnetospheric, not a relaxing medium state, so the two-rate ratio test at ln3/ln(3/2) = 2.7095 has nothing to act on at burst cadence (data-limited; the reading survives only in the untested hours-to-days band or via a tracked rotation-measure injection event); (ii) the first FRB comb test with a NAMED clock (τ_mod = cumulative |ΔRM|, the S14 medium-state clock) is null at detectable amplitude (3 gate-passing sessions, Fisher p = 0.81); (iii) the parity-without-rate diagnostic holds all three predictions — a nominal m=4 PA excess is typed as distribution misfit by the dated specificity battery (odd-harmonic placebos fire equally, a 3-component smooth null absorbs it at p = 0.64), class switches are rate-free (tooth p = 1.0), and the dominant PA class persists across 45/45 sessions — consistency, standard magnetospheric physics predicts the same; (iv) the episode-level transfer ladder (quiescence gaps + episode-integrated energies on the teeth, the last untested aggregation level) is null across 8 sources (gap Bonferroni p = 1.0); (v) the Z₂ leaf-class reading of the repeater/one-off dichotomy fails its sharpest morphological test on CHIME Cat1 — morphology does predict repetition (CV-AUC 0.833, replicating Pleunis+2021, default astro/selection), but BIC prefers three morphological modes, not two. A transduction-invisibility theory contract (5/5 machine checks) shows a coherent threshold amplifier with uniform character coupling produces burst trains exactly and statistically blind to the transfer spectrum — the 20+ FRB intensity/timing nulls are what that ontology predicts, and an unequal-weight coupling makes the same functional discriminating.

2026-07-06Geometry/topology scan — six untested FRB axes + a forward bandforward band

Six structurally untested FRB axes (the forced 2D ladder coupling, circular-polarization handedness, size-space DSI, the μ₄ phase–time helix, two operator proxies) are all null after placebo batteries — and the shared-seed block gains a dated forward prediction: β = 0.2413° ± 0.0018° for LiteBIRD / Simons Observatory to test blind.

Full record ▾

Six structurally untested FRB axes preregistered/addended and run on committed catalogs — the FORCED 2D ladder coupling (a kernel rung multiplies time by (3/2)^k AND energy by (2/3)^k; all prior tests were marginals) is cleanly null in both sources under an exact energy-shuffle null; the circular-polarization HANDEDNESS alternation (the only Z₂-deck-visible polarization observable — PA is mod π and |V|/I is even, so all earlier polarization tests were deck-blind by construction) is null over 3454 signed-V burst pairs; and the size-space DSI on the burst-energy distribution is null in both sources after a lognormal/KDE/GMM population-null battery (the famous energy bimodality absorbed, the pulsar PG.01 result replicated in the FRB energy domain; a first-pass λ=8 artefact from a re-seeding GMM sampler was caught by split-half and free-λ probes and dissolved — on record). The μ₄ phase–time helix (coupled polarization–time phase at the frozen ω) is also null once the drift-robust circular-shift null is applied — the naive permutation 'signal' is slow position-angle drift, present at any ω. The new non-tooth operator proxies are also null: KC.05 finds no C4-specific μ₄ block protection in PA-class transitions, and KC.06 finds the multivariate polarization lag spectrum is not unusually close to {1,64/729,1/729}. And the shared-seed block now carries a dated FORWARD band: Cabibbo + θ13 + Ω_b predict β = 0.2413 ± 0.0018° (β never entered the fit; ACT DR6 sits at z = −0.36) — LiteBIRD / Simons Observatory will test this band blind.

2026-07-06Operator-symmetry round — the seam clock as an operator, on real hardwareconsistent

The seam clock probed as an operator symmetry, not only a number: the μ₄ block-diagonality statistic runs on a REAL measured boundary operator (the KIT4 open EIT archive — the homogeneous tank realises it at the instrument floor, S_off = 7.6×10⁻⁵), the shared-seed reading passes a decoder test (one latent u fits four channels; 0/2000 placebo decoders better), and a comb-phase coherence test bounds the persistent boundary-clock reading on FRB repeaters.

Full record ▾

The seam clock is now probed as an OPERATOR SYMMETRY, not only as a number — (i) the QGEO S_off leakage statistic (μ₄ character block-diagonality of the boundary energy form, the operator form of the seam premise) is certified on a reconstruction pipeline with noisy eigenpairs (theory contract: exact leakage < 1e-30, μ₄ clock-angle zero set read off the operator, instrument requirement ~1e-3 relative spectral precision) and then run on a REAL measured boundary operator: the KIT4 open EIT archive (38 tank measurements, 16 electrodes) — the homogeneous tank realises a μ₄-block-diagonal ND map at the instrument floor (S_off = 7.6e-5), all 28 anisotropic targets leak with the generic isotropic signature, and the decisive μ₄-positive 4-inclusion configuration is preregistered as a future measurement any KIT4-class lab can run; (ii) the shared-seed reading is upgraded to a DECODER test: one latent u fits β, Ω_b, reactor-θ13 and the Cabibbo angle simultaneously (χ² = 4.10, dof 3), AIC prefers the 1-parameter shared decoder over the saturated model, 0/14 single-swap neighbour link-decoders beat it and it sits at the 0.0th percentile of 2000 equal-complexity random placebo decoders — the cross-channel ratios are architecture-specific (consistency, not proof); (iii) a per-source comb-PHASE coherence test (RC.04) bounds the persistent boundary-clock reading on FRB repeater sessions (null at ε ≳ 0.15–0.3).

2026-07-06Möbius round — the Z₂ / double-cover readings of the recovery combclean null

The three derived antiperiodic frequencies run through ALL in-hand dynamic channels (quakes, magnetars, FRBs, GRBs, pulsar glitches, crust cooling, GW echoes): clean null everywhere testable; two nominal excesses are placebo-typed artefacts on record; the antiperiodic fundamental stays range-blind in all current data.

Full record ▾

The Z2/double-cover READINGS of the recovery comb are now tested — if the comb carries the Z2 sheet parity per period (antiperiodic, periodic only on the double cover), its Fourier power at the kernel ω = 2.583 is exactly zero, so every kernel null was silent about it; the three derived omegas (half-period clock (3/2)³ at ω = 5.17, first antiperiodic harmonic (3/2)⁴ at ω = 3.87, antiperiodic fundamental (3/2)¹² at ω = 1.29) were run through ALL in-hand dynamic channels: the USGS aftershock battery, magnetar, FAST/GBT + CHIME FRB tails, 22 GRB afterglows, the ZTF nuclear transient, the pulsar-glitch legs (2024 Vela giant glitch and the PuMA/IAR daily ToA residuals of three giant glitches), the 9 gate-passing FRB repeater burst-time sessions, crust cooling, and the FRB 20220912A microshot forest — where the half-period reading is the first to pass the per-λ range gate (3.2 periods) and is null. In the GW ringdown-echo channel the antiperiodic reading was already covered natively as the Δφ = π per-bounce phase × (2/3)³ semantics of the Stage-1c signature battery (NO_VARIANT_ECHO on all 10 events). Verdict: clean NULL everywhere testable (well-powered in the quake, GRB, PG.08-J1740 and repeater-session stacks; quake Bonferroni global p = 0.94 over 11 gated ratios). Two nominal excesses are placebo-typed artefacts, on record: the J1740−3015 (3/2)⁴ raw p = 0.0018 is a broad non-specific ω ≈ 3.6–4.0 bump (periodogram peak at 3.73, placebos equally significant), and the repeater-cascade (3/2)¹² Fisher p = 4e-4 is sub-gate (1.5–2.4 < 2.8 periods; placebo λ 60–300 equally extreme). The antiperiodic fundamental remains range-blind in all current data (needs 13.6 e-folds of ln t; the widest curve has 13.1) — an honest data-limited leg. The first real magnetar run is also typed: 6 Swift-XRT outburst curves, stacked kernel ω = 2.58 not special (p = 0.99), a clean surface-firewalled null.

2026-07-03Open-question round — neutron lifetime, X17, R_D(*), S8, lithium-7, dipole, QPE, real quantum hardwarewatchdogs armed

A parameter-free neutron lifetime from the frozen Cabibbo angle lands on the BOTTLE side of the beam–bottle puzzle (τ_n = 877.53 ± 0.71 s, −0.38σ from UCNτ); X17 and the 3.8σ R_D(*) excess become dated dissolution watchdogs; the flat budget takes the CMB side of the S8 tension; lithium-7 and the cosmic number-count dipole are typed honestly; a QPE recurrence search returns a quantified null; and the recovery-kernel circuit ran on real IBM hardware for the first time.

Full record ▾

The fixed-point watchdog gains three dissolution axes — axis E fixes a PARAMETER-FREE neutron lifetime from the frozen Cabibbo angle (exact CKM unitarity ⇒ V_ud = 0.97450; with the Czarnecki–Marciano–Sirlin master formula and measured g_A: τ_n = 877.53 ± 0.71 s — on the BOTTLE side of the ~4σ beam–bottle puzzle at −0.38σ from UCNτ, −4.98σ from the proton-counting beam average, with the n→dark-decay exit forbidden by the same no-slot counting as the sterile axis), axis F watches X17 (MEG II null vs PADME's 1.8–2.0σ global excess; Run IV decides), axis G watches the standing R_D(*) excess (HFLAV 3.8σ — the sharpest dissolution target, Belle II/LHCb Run 3 decide). The parameter-free flat budget now also takes a side in the SECOND structure tension: CAMB on the budget geometry gives S8 = 0.824 — CMB/KiDS-Legacy side (+0.49σ), against DES Y6 (+2.95σ). Two more open questions are typed honestly: the cosmological lithium-7 problem under the frozen η (D/H −0.3σ and Yp +0.5σ anchor η₁₀ = 6.04; ⁷Li overpredicted ×3.36 — the UNIVERSAL 20-year problem, not TFPT-specific; TFPT's dated statement: the resolution must be stellar, η cannot move), and the cosmic number-count dipole anomaly (CatWISE ×2.1 kinematic excess, claimed 4.4–5.7σ vs clustering/mask reassessments at 3.3–3.6σ — a dissolution watchdog on the FLRW foundation). A preregistered QPE recurrence search (eRO-QPE2 + GSN 069, the unexplained post-2019 SMBH eruption class) returns a quantified-sensitivity null: the 2/3 kernel tooth lies >17× the observed ratio spread away from the QPE clock. And the recovery-kernel quantum circuit ran on REAL hardware for the first time (ibm_marrakesh, 16384 shots): one-step survivals 2/3 and 1/3 reproduced at −4.2%/+8.9%, while the blind 12-block bend decode is floor/T1-biased (1.96 vs 2.71) — hardware tier data-limited.

2026-07-03Zero-dial flat budget — the whole ΛCDM budget with no fitted parameterpattern candidate

The flat ΛCDM budget follows from frozen atoms plus flatness with no fitted cosmological parameter: H₀ = 67.15 km/s/Mpc (−0.39σ Planck — the parameter-free Planck side of the Hubble tension), Ω_m = 0.3133, t₀ = 13.86 Gyr, with the honest stresses recorded. Typed a pattern-candidate composite of already-counted legs, never an independent hit.

Full record ▾

A zero-dial flat-budget closure — {Ω_b = φ₀(1−1/4π) [frozen], Ω_c = (2/7)(1−1/4π) [a numerology-flagged post-hoc candidate, an ALTERNATIVE reading to the axion-spine DM branch], ρ_Λ/M̄⁴ = (3/4π²)e^(−2α⁻¹) [frozen], Σm_ν = 0.0588 eV} plus flatness determines the whole flat ΛCDM budget with no fitted cosmological parameter: H0 = 67.15 km/s/Mpc (−0.39σ Planck 2018, −5.67σ SH0ES 2022 — the parameter-free Planck side of the Hubble tension), Ω_m = 0.3133 (−0.27σ), t0 = 13.86 Gyr; honest stresses recorded (ω_b −2.02σ CMB-side while BBN-only sits −0.73σ; ω_c −1.19σ; DESI-DR2 H0 −2.16σ — one correlated low-h direction). It is a composite of already-counted φ₀-seed and α-engine legs plus one flagged candidate, typed pattern-candidate, never an independent hit.

2026 (anomaly round)Watchdogs hardened — steriles, DESI w(z), g−2, HFQPO, the first lab comb boundwatchdogs armed

N_fam = 3 exactly is now a sterile-neutrino dissolution prediction of record (MicroBooNE two-beam excludes the single-sterile reading at 95% CL); the DESI w(z) preference is dissolving through 2026 exactly as w = −1 requires; the g−2 bridge carries a dated kill condition; an HFQPO geometric-ladder discriminator is preregistered; the first laboratory comb bound exists (LSCO Planckian master curve); and the DSI false-positive control bed stands at 0/5.

Full record ▾

The 2026 anomaly round hardens the watchdogs: a sterile-neutrino dissolution watchdog is now a prediction of record (N_fam = 3 exactly — MicroBooNE two-beam, Nature 648 (2025), excludes the single-sterile LSND/MiniBooNE reading at 95% CL; SBND+ICARUS decide this decade), the DESI w(z) preference is dissolving through 2026 exactly as w = −1 requires (DES-Dovekie recalibration cuts 4.2→3.2σ, a calibration error in DES-SN5YR; the Bayesian reanalysis eliminates the DESI+CMB-only preference, ln B = −0.57), the g−2 bridge carries a dated kill condition (a lattice-side HVP consensus kills it — +3.9σ today, WP2025 lattice pull now 3.92σ — while a KLOE-side dispersive consensus restores <1σ), an HFQPO geometric-ladder discriminator is designed (the 3:2 cluster is real but cheap: anchored selection null 18.5%, J1859+226 breaks universality at 9.2σ; the decisive ×1.5 tooth search was never published and is preregistered for the RXTE archive), the first laboratory comb bound now exists on the Planckian σ₁(ω/T) master curve (LSCO x=0.24: ω = 2.583 not special, underpowered at the predicted 1.7% ripple), and the DSI false-positive control bed stands at 0/5 including the Efimov ladder (8.9σ separated from the kernel) and glass/MCT controls (no universal 2.7095 bend).

2026 (hardening round)Five workstreams — watchdog, controls, past the range wall, GW limits, quantum circuitdata-limited

An exact-fixed-point watchdog (the DESI DR2 pincer puts the joint TFPT point at ~3.7σ, below the 5σ kill; the α–Λ drift lock excludes 'TFPT + real w(z) dynamics' by ~10^5.7), a DSI false-positive control (0/4), the first channels past the 2.8-period range wall (repeater cascades to 4.8 periods, the PG.08 pulsar residual comb), calibrated absolute GW-echo limits (~7× above the kernel ceiling), and a quantum-circuit realisation of the recovery kernel.

Full record ▾

The previous hardening round added five workstreams: an exact-fixed-point watchdog (the DESI DR2 (w, Σm_ν) pincer puts the joint TFPT point at ~3.7σ — model-dependent, below the 5σ kill — while the α–Λ drift lock excludes 'TFPT + real w(z) dynamics' by ~10^5.7 via optical-clock bounds), a DSI false-positive control (the frozen ω = 2.583 comb detector fired on 0/4 real non-TFPT Omori/DSI cascades — the existing comb nulls are specific, not promiscuous), a repeater burst-time cascade search (first channel past the 2.8-period range wall, 9 sessions up to 4.8 periods: null at detectable amplitude, data-limited at the predicted 1.7%), the PG.08 PuMA/IAR daily ToA-residual comb (first real residual recovery past the gate, ω not special, data-limited by the amplitude wall), calibrated absolute GW echo limits (injection-campaign ε₉₀ ≈ 0.63–1.9 × A220 in the best events, ~7× above the (2/3)⁶ kernel ceiling; the 16 kHz re-run confirms the point-test null is not a lag-resolution artefact), and a quantum-circuit realisation of the recovery kernel (bend 2.7095 exact on the simulator; current FakeBrisbane run stays consistent via per-mode decode from 256 shots, while the strict 3/3-seed combined free-ratio fit is weaker and has no `min_shots_identifiable`).

GW channelRingdown echoes — the 10 loudest events on real strain, every reading testedclean null

The GW ringdown-echo channel covers the 10 loudest ringdowns on real GWOSC strain (incl. GW250114, network SNR 78.6): a stacked search over 23 detector streams, a 12-variant signature battery, a systematic-hardened point test at the theory-fixed delay, and a first Bekenstein–Mukhanov spectral-comb search — all null; the (2/3)⁶ upper bound is consistent and robust.

Full record ▾

The GW ringdown-echo channel now covers the 10 loudest ringdowns on real GWOSC strain (incl. GW250114, network SNR 78.6, O4b), all templates redshift-corrected to detector-frame frequencies, with a stacked search over 23 detector streams (p = 0.26, kernel-consistent 0/23), a 12-variant signature battery (energy vs amplitude semantics, μ₄ per-bounce phases as the boundary-birefringence analogue, Planckian lag window, off-source event-gated PSD), a systematic-hardened point test at the theory-fixed C = 3/8 delay (spin scan, skip-first-echo, joint QNM+train fit repairing the short-lag self-absorption), and a first area-quantum Bekenstein–Mukhanov spectral-comb search (ΔA = 4 ln3 line spacing): all null — the (2/3)⁶ upper bound is consistent and robust against every tested signature reading and systematic.

StructuralThe Galois-CP lock + the cyclotomic capstonepreregistered kill test

δ_PMNS = 4π/3 = 240° is Galois-locked to δ_CKM (both powers of one hexagonal unit; band 240° ± ~9°, +1.08σ vs NuFIT 6.0 today) — a preregistered kill test for DUNE / Hyper-K / JUNO. The cyclotomic capstone makes the whole SM structural sector ℚ(ζ₃₀), leaving zero dimensionless free parameters: {a, π, v_geo} is the complete input.

Full record ▾

The latest structural round (v231/v233) ties the leptonic CP phase δ_PMNS = 4π/3 = 240° to δ_CKM via the Z2 sheet (δ_PMNS = δ_CKM,lead + π); confronted with the NuFIT 6.0 normal-ordering best fit (212°⁺²⁶₋₄₁) it sits at +1.08σ (consistent, weak power until DUNE/Hyper-K) and shares one independence group with δ_CKM. This is now a pre-registered kill test (v320, sharpened v322): both CP phases are powers of one hexagonal unit ρ = ζ₆, the selected node is the deck order |μ₄| (δ_PMNS = 4·δ_CKM,lead), the prediction band is 240° ± ~9° (the sub-leading bounded by the quark 3λ²), and the nearest wrong hexagonal node sits 60° away — so a δ_PMNS robustly away from 240° at DUNE/Hyper-K/JUNO would falsify the Galois-CP lock. The cyclotomic capstone (v313–v318) makes the whole SM structural sector ℚ(ζ₃₀) with Galois group μ₄ × ℤ₂ (degree 8 = rank E₈), leaving zero dimensionless free parameters — {a, π, v_geo} is the complete input.

Counting discipline: Correlated φ₀-seed legs, the cp_mu6_phase pair, alternative-group readings (e.g. CCBH vs DESI on w) and internal-consistency checks are NOT counted as independent external hits.

Firewall: FRB / EHT / GW are search fields for residual boundary-recovery patterns, frontier observables (axion, η_B, kaons, g−2) are F_transfer downstream bridges — never primitive compiler outputs, and no row is upgraded to [E] by data proximity.

experiments/ on GitHubAudit READMEevidence_scorecard.json
Closed numerical tests
  • α⁻¹
  • sin²θ₁₂
  • sin²θ₁₃
  • λ_C
  • β_rad
  • det R / minors
Structural kill tests
  • no 2nd Higgs (N_Φ=1)
  • neutron EDM (θ_eff=0)
  • no 4th generation
Conditional cosmology tests
  • r
  • n_s
  • A_s
  • α_s
  • μ-distortion
  • Ω_b
  • η_B
  • w ≠ −1
Honest non-claims
  • m_p/m_e
  • exact Koide
  • axion relic abundance
Total27
Couplings & EM[E]Numerical fixed point

Fine-Structure Constant — Electromagnetic Fixed Point

Claim ID: EM.FP.01
Target
α−1(0)=137.035 999 216 8…\alpha^{-1}(0) = 137.035\,999\,216\,8\ldots

The fine-structure constant is the unique positive root of the cubic closure built from c₃ and the abelian coefficient 41 = 10 b₁. Existence and uniqueness are proved; the value lands 2.9×10⁻¹⁰ (1.9σ) from CODATA-2022. Typed [E]: the coefficients are exact identities, the Ward-origin reading of the equation is conditional [C] (ledger EM.FP.01).

Dependency class
EM closure
Kill / pressure test
Failure of the unique-root equation F_U(1)(α) = 0, a second admissible root, or a stable mismatch outside the stated interface uncertainty.
Open the source documentLedger →
Flavor / CKM[E]Exact identity

Cabibbo Angle — Retained Seed

Claim ID: FLAV.CKM.01
Target
λC=φ0(1−φ0)=0.22438\lambda_C = \sqrt{\varphi_0(1-\varphi_0)} = 0.22438

The Cabibbo angle is the carrier base of the φ₀-ladder — the same seed that fixes the reactor angle and the birefringence amplitude.

Dependency class
Flavor / residue matrix
Kill / pressure test
Stable CKM global-fit mismatch after the declared comparison map.
Open the source documentLedger →
Flavor / CKM[E]Exact identity

Flavor Residue Invariants

Claim ID: FLAV.R.01
Target
det⁡R=8,  minors=(2,3,5),  χR=t3−9t2+10t−8\det R = 8,\ \ \mathrm{minors}=(2,3,5),\ \ \chi_R = t^3 - 9t^2 + 10t - 8

The flavor matrix carries only compiler numbers: determinant h(D₅) = 8, principal 2-minors (2,3,5) with product h(E₈) = 30, trace N_fam². Any future global fit must satisfy these.

Dependency class
Flavor / residue matrix
Kill / pressure test
A future CKM/PMNS global fit that cannot be carried by a residue matrix with det 8, principal minors (2,3,5) and this characteristic polynomial.
Open the source documentLedger →
Flavor / CKM[C]Conditional

Koide Relation — Near 2/3

Claim ID: FR.KOIDE.01
Target
Q=0.664  →  Q⋆=23=∣Z2∣NfamQ = 0.664 \;\to\; Q_\star = \tfrac{2}{3} = \tfrac{|\mathbb{Z}_2|}{N_{\mathrm{fam}}}

The source-level Koide quotient is 0.664, 0.33% below the democratic compiler target 2/3. Near-miss, not an exact derivation — the source→pole transfer is a conjecture.

Dependency class
Frontier interface
Kill / pressure test
A source→pole transfer that lands far from 2/3, or a demonstration that the lepton φ₀-ladder is incompatible with the measured charged-lepton masses.
Open the source documentLedger →
Neutrino sector[E]Numerical fixed point

Solar Angle — Seam Misalignment

Claim ID: FLAV.TH12.01
Target
sin⁡2θ12=13−φ02=0.3067\sin^2\theta_{12} = \tfrac{1}{3} - \tfrac{\varphi_0}{2} = 0.3067

Previously the only open SM angle. Tri-bimaximal 1/3 plus the seam misalignment ε = (3/4)φ₀ = c₃ + 36 c₃⁴ (leading term c₃, fourth-order puncture correction exact) gives the prediction of record sin²θ₁₂_seed = 0.306747. This single seed value is the frozen prediction (blind registry predictions_frozen.json, 2026-06-09, machine-enforced by v84); the seam-corrected 0.306808 and non-linear 0.307020 are scheme diagnostics of the same texture along the F_transfer orbit, not rescue branches. Live status: JUNO's first 59.1-day run reports sin²θ₁₂ = 0.3092 ± 0.0087 — compatible, precision phase pending; NuFIT 6.0 (0.307) is the pre-JUNO global-fit baseline.

Dependency class
Neutrino transport
Kill / pressure test
A JUNO central value clearly away from 0.307 at high significance kills the seam-misalignment mechanism.
Empirical auditconsistent

experiments/neutrino-mixing confronts sin²θ₁₂ = 1/3 − φ₀/2 with NuFIT 6.0 and JUNO's first 59.1-day run.

Result: −0.02σ vs NuFIT, −0.28σ vs JUNO — the sharpest hit in the program.

experiments/neutrino-mixing
Open the source documentLedger →
Neutrino sector[E]Exact identity

Reactor Angle — Seed × Carrier Trace

Claim ID: REG.FREEZE.01
Target
sin⁡2θ13=φ0 e−5/6=0.0231\sin^2\theta_{13} = \varphi_0\,e^{-5/6} = 0.0231

The reactor angle is the seed times the carrier-trace factor e⁻⁵ᐟ⁶ (γ = 5/6). Daya Bay / RENO / JUNO compare; PDG 0.0220.

Dependency class
Neutrino transport
Kill / pressure test
Robust normal-ordering global-fit exclusion at the stated confidence level.
Empirical auditconsistent

experiments/seed-consistency stresses the shared seed φ₀ → β/Ω_b/Cabibbo/θ₁₃; v3 combines reactor-only θ₁₃ from Daya Bay + RENO + Double Chooz (NuFIT-global only as a shadow, never both in the fit).

Result: θ₁₃ is the dominant pull (−1.62σ, 88% of χ²); the block holds at χ²/dof = 1.00, PPC p = 0.39. The first real seed-stress candidate — a >3σ pull would flag PMNS θ₁₃ as transfer-corrected.

experiments/seed-consistency
Open the source documentLedger →
Neutrino sector[C]Conditional

Atmospheric Angle — μτ-Symmetric Limit

Claim ID: REG.FREEZE.01
Target
sin⁡2θ23≈12\sin^2\theta_{23} \approx \tfrac{1}{2}

The atmospheric angle is near-maximal in the μτ-symmetric limit; the octant is not selected by the present transport (the record). DUNE addresses the ambiguity. A named post-hoc [O] candidate (v467) reads the 2–3 texture with the same −φ₀/2 seed shift as θ₁₂ — cos 2θ₂₃ = φ₀, i.e. sin²θ₂₃ = 0.4734 (+0.20σ), which would select the lower octant; the record is unchanged.

Dependency class
Neutrino transport
Kill / pressure test
A robust off-maximal octant determination by NOvA / T2K / DUNE.
Open the source documentLedger →
Neutrino sector[C]Conditional

Mass Ordering & Majorana Branch

Claim ID: PRED.LAYER.01
Target
normal ordering,mββ small\text{normal ordering}, \quad m_{\beta\beta}\ \text{small}

The Majorana neutrino sector prefers normal ordering with a small effective mass; the NO floor Σm_ν = 0.0586 eV is consistent with the cosmological bound and is a near-term kill test (v272). The absolute scale is one seesaw ratio (M_R, the same single anchor as v_geo), while the full complex PMNS matrix and the leptonic CP strength J_PMNS = −0.0297 (data-consistent) are now assembled (v270). A named one-parameter CANDIDATE (v481, FLAV.NUSCALE.02) sharpens the seesaw ratio: under the carrier normalisation y_ν = y_t (minimal 16·16·10 Yukawa sector) the (y_ν, M_R) trade-off collapses to M_R alone, the observed m₃ demands M_R = 9.3×10¹³ GeV inside the compiler's PS window at log_c₃ rung 3.15, and the integer c₃³-rung is explicitly declined at 1-loop — and excluded unstructured by the bracketed decision computation (v482: rescue needs ×1.67, generous >3σ envelopes give at most ×1.165; the 5/3-proximate structure escape recorded and declined) — and the 5/3 escape is now decided DEAD at the group-theory level (v488: no renormalisable channel since the 126bar is E8-forbidden; all ν^c d=5 channel weights are {2,3}-smooth so 5/3 is multiplicatively unreachable; the unique natural 5, k_Y = 5/3, is decoupled by Y(ν^c) = 0 exactly; Clebsches are generation-blind) — candidate class, nothing closes. A named post-hoc [O] candidate (v468) proposes the previously unpredicted splitting ratio Δm²₂₁/Δm²₃₁ = |J_PMNS| = 0.029653 vs measured 0.029805(792) → −0.19σ (the informal πφ₀ heuristic, now −2.44σ, is superseded as comparator); JUNO decides. The leptonic CP phase is no longer an assigned texture but a Galois-forced relation to the leading (π/3) component of the quark phase: δ_PMNS = δ_CKM,lead + π = 240° (both powers of one hexagonal unit ρ = ζ₆; the lock is to the structural π/3, not the full measured γ ≈ 68.7° — so 240°, not 248.7°; v320), testable at DUNE/Hyper-K. LEGEND / nEXO / DUNE / KATRIN are the comparison surface.

Dependency class
Neutrino transport
Kill / pressure test
Inverted ordering, a large m_ββ detection, a cosmological Σm_ν < 0.0586 eV (the normal-ordering floor, v272), or a δ_PMNS robustly outside the band 240° ± ~9° = δ_CKM,lead + π (the Galois lock; v320, sharpened v322) kills the minimal Majorana / Galois-CP branch.
Open the source documentLedger →
Neutrino sector[C]Conditional

Leptonic CP Phase — Galois-Locked to the Quark Phase

Claim ID: GALOIS.READOUT.01
Target
δPMNS=δCKMlead+π=240∘\delta_{\mathrm{PMNS}} = \delta_{\mathrm{CKM}}^{\mathrm{lead}} + \pi = 240^\circ

The leptonic CP phase is no longer an assigned texture but a Galois-forced relation to the quark phase: both CP phases are powers of one hexagonal unit ρ = ζ₆ of the family factor, so δ_CKM,lead = arg(ρ) = π/3 = 60° and δ_PMNS = arg(ρ⁴) = 4π/3 = 240°, and since ρ⁴ = −ρ they are locked, δ_PMNS = δ_CKM,lead + π (v316/v320). Sharpened (v322): the node selector is the deck order |μ₄| (δ_PMNS = 4·δ_CKM,lead); the sub-leading correction is bounded by the quark analogue 3λ² ≈ 8.7°, so the prediction of record is the band 240° ± ~9°. It sits at +1.08σ of the NuFIT 6.0 normal-ordering best fit (212°⁺²⁶₋₄₁) and inside the CP-violating region the data mildly prefer; the nearest wrong hexagonal node is 60° away. A [C] downstream bridge (the seam deck stays Z/4, CP lives in the hexagonal phase fiber over it); discriminating power is weak until DUNE / Hyper-K.

Dependency class
Neutrino transport
Kill / pressure test
A measured δ_PMNS robustly outside the band 240° ± ~9° (= δ_CKM,lead + π), or landing on a different hexagonal node (60/120/180/300°), at >3σ (DUNE / Hyper-K / JUNO) falsifies the whole Galois-CP organisation.
Empirical auditconsistent

experiments/neutrino-mixing confronts δ_PMNS = 4π/3 = 240° (Galois-locked to δ_CKM) with the NuFIT 6.0 normal-ordering global fit.

Result: +1.08σ vs the NuFIT 6.0 NO best fit (212°⁺²⁶₋₄₁); inside the 3σ CP-violating region the data mildly prefer. Discriminating power is weak until DUNE/Hyper-K.

experiments/neutrino-mixing
Open the source documentLedger →
QCD / EDM[E]Exact identity

Strong CP — Neutron-EDM Null

Claim ID: PRED.LAYER.01
Target
θeff=0\theta_{\mathrm{eff}} = 0

θ_eff = 0 follows from three structural facts (γ₅-Hermiticity, polar structure, sheet involution) plus reflection positivity — without a mass gap. Now formalised as Pfaffian reality in the self-dual 16-Majorana CAR model (v173): the sheet-odd Calderón involution pairs the spectrum (±λ), γ₅-Hermiticity makes the fermion-measure Pfaffian real (arg ∈ {0,π}), and reflection positivity (Z > 0) selects the positive branch — a topological null theorem. PSI nEDM / SNS test it.

Dependency class
Strong-CP closure
Kill / pressure test
A solid neutron-EDM signal above the SM background falsifies the structural cancellation.
Empirical auditconsistent

The EDM-null (θ_eff = 0) is tracked as two typed scorecard rows under experiments/ — neutron and electron EDM vs the PSI nEDM and JILA/ACME limits.

Result: Both consistent (no EDM signal); a robust EDM incompatible with θ_eff = 0 would falsify the structural cancellation.

experiments
Open the source documentLedger →
QCD / EDM[O]Open / not forced

Proton/Electron Ratio — Not a Compiler Power

Claim ID: FR.MPME.01
Target
mpme=1836.15\frac{m_p}{m_e} = 1836.15

Listed for honesty: m_p/m_e is a cross-sector ratio, computable at scheme level but genuinely not a compiler power. It is deliberately not forced onto the ladder.

Dependency class
Frontier interface
Kill / pressure test
Only fails if mis-asserted as a compiler power; there is no clean φ₀ power for the QCD-confinement / EW-Yukawa ratio.
Open the source documentLedger →
Cosmology / inflation[C]Conditional

Scalar Tilt — R² Attractor

Claim ID: COSMO.INF.01
Target
ns=1−2N⋆∈[0.960, 0.967]n_s = 1 - \tfrac{2}{N_\star} \in [0.960,\,0.967]

The scalar tilt comes from the same R² (Starobinsky) attractor that fixes the scalaron mass. The frozen registry keeps n_s as a band over N★ ∈ [50,60]; the scalaron-reheating chain (v86, Higgs channel) sharpens it conditionally to N★ = 51.4 ⇒ n_s = 0.9611 — recorded with its tensions (+0.9σ below Planck; the same chain underpredicts A_s, so the point is conditional on the decay channel).

Dependency class
Inflation (R²)
Kill / pressure test
A robust n_s far from the Starobinsky line on the same R² attractor (n_s ≥ 0.967 also kills the scalaron-reheating chain).
Empirical auditconsistent

experiments/cmb-inflation-scalaron compares n_s = 1 − 2/N⋆ to Planck and the ACT+DESI combination; the branch resolver decides the N⋆ typing.

Result: n_s = 0.9611 (N⋆ = 51.4): −0.91σ vs Planck, but −3.9σ vs the P-ACT-LB+DESI value. Decision FINALIZED: the band [50,60] is the prediction of record, 51.4 the preferred branch.

experiments/cmb-inflation-scalaron
Open the source documentLedger →
Cosmology / inflation[C]Conditional

Tensor-to-Scalar Ratio — R² Branch

Claim ID: COSMO.INF.01
Target
r=12N⋆2∈[0.0033, 0.0048]r = \tfrac{12}{N_\star^2} \in [0.0033,\,0.0048]

The tensor ratio of the R² scalaron is already below the current bound and within reach of CMB-S4 (σ_r ≤ 5×10⁻⁴, ~2033). The frozen registry keeps r as a band; the scalaron-reheating chain (v86) sharpens it conditionally to r = 0.0045.

Dependency class
Inflation (R²)
Kill / pressure test
Any robust r ≳ 0.01 kills the R² branch carrying M_Pl and A_s.
Empirical auditdata-limited

experiments/cmb-inflation-scalaron evaluates r = 12/N⋆² against BICEP/Keck and forecasts CMB-S4.

Result: r = 0.0045 (below BK18 < 0.036); at CMB-S4 σ_r ≈ 5×10⁻⁴ this is a ~9σ detection target — the clean future discriminator.

experiments/cmb-inflation-scalaron
Open the source documentLedger →
Cosmology / inflation[C]Conditional

Scalar Amplitude — Parameter-Free

Claim ID: COSMO.INF.01
Target
As=N⋆224π2 c37≈2.0×10−9A_s = \frac{N_\star^2}{24\pi^2}\,c_3^7 \approx 2.0\times 10^{-9}

Generic Starobinsky fits the scalaron mass to A_s; TFPT fixes it by the seam, (M/M̄)² = c₃⁷, so A_s becomes a prediction — the measured A_s prefers N★ = 56.2. Honest record (v86): the slow Higgs-channel reheating point N★ = 51.4 underpredicts A_s by 11σ, so the measured A_s requires near-instantaneous reheating; A_s arbitrates the reheating speed.

Dependency class
Inflation (R²)
Kill / pressure test
A_s incompatible with the seam-fixed scalaron mass on the R² branch.
Empirical audittension

experiments/cmb-inflation-scalaron runs the branch resolver: fixed N⋆ = 51.4 vs profiled N⋆, with a Bayes-factor comparison.

Result: A_s at fixed N⋆ = 51.4 is −11.3σ — but ln(B_profiled/fixed) = +62 decisively prefers the band, so A_s is typed as a downstream reheating BRIDGE / branch stress (N⋆ ≈ 56 when profiled), NOT a record kill test.

experiments/cmb-inflation-scalaron
Open the source documentLedger →
Cosmology / inflation[C]Conditional

Spectral Running — R² Consistency Relation

Target
αs=−2N⋆2=−r6∈[−8.0, −5.6]×10−4\alpha_s = -\tfrac{2}{N_\star^2} = -\tfrac{r}{6} \in [-8.0,\,-5.6]\times 10^{-4}

The same R² attractor that fixes n_s, r and A_s also fixes the running of the tilt — a parameter-free consistency relation, α_s = −2/N★² = −r/6 at leading order (machine-checked in v494, exact slow roll on the Starobinsky potential). The 2026-07-20 prediction of record: Planck 2018 sits +0.57σ from the branch; the P-ACT-LB record leg (+0.0062 ± 0.0052) pulls −1.33σ with a POSITIVE central value — the watch channel: plateau models cannot give positive running.

Dependency class
Inflation (R²)
Kill / pressure test
Robust α_s < −5×10⁻³ or > +3×10⁻³ at ≥5σ; any robust POSITIVE running kills the plateau branch (plateau potentials give α_s < 0).
Empirical auditconsistent

experiments/tfpt-discovery/alpha_s_running_probe.py computes the exact slow-roll α_s/β_s on the Starobinsky potential and confronts the 2025/2026 data landscape (Planck 2018, P-ACT, P-ACT-LB); promoted to v494_cosmo_running_mu_record.py.

Result: α_s = −7.09×10⁻⁴ at N⋆ = 51.4 (LO band [−8.0, −5.6]×10⁻⁴): +0.57σ vs Planck 2018, −1.33σ vs the P-ACT-LB record leg — consistent, with the positive P-ACT-LB central value flagged as the watch channel.

experiments/tfpt-discovery
Open the source documentLedger →
Cosmology / inflation[C]Conditional

μ-Distortion — A_s/N★ Branch Discriminator

Target
μ∈[1.5, 2.3]×10−8  (1.6×10−8 at N⋆=51.4)\mu \in [1.5,\,2.3]\times 10^{-8}\ \ (1.6\times 10^{-8}\ \text{at}\ N_\star{=}51.4)

Silk damping of the TFPT primordial spectrum fixes the CMB μ-distortion per N★ branch (v494): 1.6×10⁻⁸ on the sharp reheating point 51.4, 2.0×10⁻⁸ on the A_s-profiled record 56.1 — the 23% split (Δμ = 3×10⁻⁹) is a 3σ branch decision at σ(μ) = 10⁻⁹ (Voyage-2050 class). Data-limited: the PIXIE baseline (9×10⁻⁸) does not reach the band. Honest S15 typing: the frozen recovery log-comb is structurally blind here (|F| = 0.033, δμ = 7.4×10⁻¹² = 0.007σ) — the theory itself predicts where it is invisible.

Dependency class
Inflation (R²)
Kill / pressure test
Robust μ < 0.9×10⁻⁸ or > 4×10⁻⁸.
Empirical auditdata-limited

experiments/tfpt-discovery/mu_distortion_probe.py integrates the TFPT spectrum through the Chluba μ window per branch and scans the frozen log-comb modulation; promoted to v494_cosmo_running_mu_record.py.

Result: μ band 1.5–2.3×10⁻⁸; branch split 3.0×10⁻⁹ = 3σ at Voyage-2050 σ(μ) = 10⁻⁹; PIXIE baseline does not reach (0.18× limit); the frozen comb is structurally blind in the window (0.007σ).

experiments/tfpt-discovery
Open the source documentLedger →
Cosmology / inflation[E]Numerical fixed point

Scalaron Mass — Seam Power

Claim ID: GRAV.SCAL.01
Target
Mscal=c37/2 MˉPl=3.06×1013 GeVM_{\mathrm{scal}} = c_3^{7/2}\,\bar M_{\mathrm{Pl}} = 3.06\times 10^{13}\,\text{GeV}

The scalaron mass comes out exactly at the canonical Starobinsky value, with the exponent 7 = 48 − 41 = Ω_adm − 10 b₁ fixed by the seam. A former input is now an output.

Dependency class
Inflation (R²)
Kill / pressure test
A scalaron mass incompatible with the seam power c₃⁷ = c₃^(Ω_adm − 10 b₁).
Open the source documentLedger →
Cosmology / inflation[C]Conditional

Baryon Density — One-Engine Readout

Claim ID: COSMO.OMB.01
Target
Ωb=(4π−1)βrad=0.04894\Omega_b = (4\pi - 1)\beta_{\mathrm{rad}} = 0.04894

The baryon fraction reads off the determinant-line angle β_rad. Planck comparison row 0.04930.

Dependency class
Scale grammar
Kill / pressure test
Robust inconsistency under the declared Planck comparison convention.
Empirical auditconsistent

Ω_b is the BBN leg of the seed line (experiments/cmb-birefringence-seed) and is cross-checked against the FRB Macquart DM(z) baryon fraction (experiments/frb-tfpt-signatures, FRB.05).

Result: BBN leg 0.04σ; FRB DM(z) gives Ω_b = 0.0483 ± 0.0072 (0.10σ). Consistent but weakly discriminating — standard cosmology agrees.

experiments/cmb-birefringence-seed
Open the source documentLedger →
Cosmology / inflation[C]Conditional

Baryon Asymmetry — Downstream Readout

Claim ID: FR.ETAB.01
Target
ηB=6.1×10−10\eta_B = 6.1\times 10^{-10}

A downstream cosmological readout from the closed Ω_b h² (observed 6.1×10⁻¹⁰). As a fundamental compiler power it is not closed — the leptogenesis Boltzmann solve is an interface. An anchored-Boltzmann attempt (v184) was tested honestly: the washout anchors plausibly (m̃₁ = m_3/A_Λ ≈ 5 meV, A_Λ = 10), but M₁ = M_R·φ₀⁴ only relocates the free input (M_R is the seesaw scale ~v²/m_3, not a compiler power), so η_B stays a sharper scenario, not a derivation. A cleaner branch (v212, FR.ETAB.04) drops the seesaw scale entirely: both Boltzmann inputs share the decuple A_Λ = 10 = |E(K₅)|, M₁ = M_scal·φ₀²/A_Λ ≈ 8.65×10⁹ GeV and m̃₁ = m_3/A_Λ ≈ 5 meV — so M₁ uses only {M_scal, φ₀, A_Λ} (no hidden seesaw scale) and lands in the thermal window where η_B ≈ 1.2×10⁻⁹ brackets 6.1×10⁻¹⁰. The full BDP Boltzmann ODE solve now confirms this at the frozen M₁: the integrated efficiency κ_f = 0.092 gives η_B = 6.5×10⁻¹⁰ = 1.07× the observed value, with NO free M_R dial; the full FLAVORED density-matrix solve is the next refinement. Still [C] (the coupling mechanism is posited, not derived).

Dependency class
Frontier interface
Kill / pressure test
Robust exclusion of the quoted value under the declared cosmological pipeline (as a compiler power it is explicitly not closed).
Empirical auditconsistent

experiments/ftransfer hosts the scalaron-decuple leptogenesis interface (M₁ = M_scal φ₀²/A_Λ, δ_νCP = 4π/3).

Result: The full BDP Boltzmann ODE solve (fboltzmann_solve.py) lands η_B = 6.5×10⁻¹⁰ at the frozen M₁ = M_scal·φ₀²/A_Λ — a factor 1.07 from the observed 6.1×10⁻¹⁰, with no free M_R dial (κ_f = 0.092 validates the analytic fit). The full FLAVORED density-matrix solve is the next refinement; stays [C] (coupling mechanism posited, washout anchored).

experiments/ftransfer/leptogenesis_boltzmann
Open the source documentLedger →
Cosmology / inflation[C]Conditional

H₀ vs Λ — One Exponential Engine

Claim ID: COSMO.LAM.01
Target
vEW∼e−α−1/5,  Λ∼e−2α−1,  H0∼Λv_{\mathrm{EW}} \sim e^{-\alpha^{-1}/5},\ \ \Lambda \sim e^{-2\alpha^{-1}},\ \ H_0 \sim \sqrt{\Lambda}

The electroweak scale, the cosmological constant and the Hubble scale are all powers of one exponential engine on the carrier — the same α⁻¹ ≈ 137. SH0ES / DESI / Planck (Hubble tension) test it.

Dependency class
Scale grammar
Kill / pressure test
A robust w ≠ −1 kills the single-engine dark-energy readout.
Empirical auditdata-limited

experiments/dark-energy-w-watchdog confronts w = −1 with the DESI DR2 w0-wa combinations, overlap-aware (no naive supernova-sample stacking).

Result: Strongest single overlap-aware combination excludes w = −1 at 4.4σ; the naive product (6.6σ) is flagged spurious. Watchdog ARMED (high), not triggered — kill at ≥5σ in a single systematics-controlled combo.

experiments/dark-energy-w-watchdog
Open the source documentLedger →
Higgs sector[E]Exact identity

No Second Light Higgs Doublet

Claim ID: EM.BUDGET.01
Target
NΦ=1N_\Phi = 1

The carrier index fixes exactly one weak doublet (N_Φ = g_car − |μ₄| = 1). A structural prohibition, not a fit.

Dependency class
Carrier / Higgs index
Kill / pressure test
Robust discovery of a second light seam-even Higgs doublet.
Open the source documentLedger →
Higgs sector[C]Conditional

Higgs Quartic — Near-Criticality from the Free Seam

Claim ID: HIGGS.FREESEAM.01
Target
λ(MˉPl)=0,  βλ(MˉPl)=0  ⇒  mH≈129–134 GeV\lambda(\bar M_{\mathrm{Pl}}) = 0,\ \ \beta_\lambda(\bar M_{\mathrm{Pl}}) = 0 \;\Rightarrow\; m_H \approx 129\text{–}134\,\mathrm{GeV}

The seam UV is the free chiral c = 8 fixed point (v157/v158), so the one marginal SM scalar coupling vanishes there: λ(M_seam) = 0 AND β_λ(M_seam) = 0 — the Shaposhnikov–Wetterich double criticality, here derived from the free seam rather than postulated. Two-loop SM running (PyR@TE-sourced betas) with the measured (m_H, m_t) gives λ(M̄_Pl) = 0.0024 with β_λ ≈ 0 — the celebrated SM near-criticality, explained as a consequence of the free seam (the boundary condition is met to ~0.2% at two loops). Imposing the double condition instead predicts m_H = 133.5 GeV (band ~129–134, m_t/α_s sensitive); the measured 125.25 GeV sits a few GeV below the stability boundary — the known slight metastability (Buttazzo+ NNLO: λ(M_Pl) = −0.0143 ± 0.0057, 2.5σ). Scale selection is honest: the same condition at the scalaron scale gives m_H ≈ 107 GeV (too low), so the free-seam BC lives at the reduced Planck scale — consistent with seam = horizon = Planck (v166, HIGGS.FREESEAM.01). Typed [C]: the freeness signature and scale selection are identities, the m_H band is the [P] prediction leg.

Dependency class
Carrier / Higgs index
Kill / pressure test
A settled (m_t, α_s) RGE pull off the double-critical surface λ(M̄) = β_λ(M̄) = 0 at >5σ kills the free-seam boundary condition (the compiler core is untouched).
Empirical auditconsistent

experiments/higgs-criticality confronts the double-critical surface λ(M_Pl) = 0, β_λ(M_Pl) = 0 with the SM RGE flow (Buttazzo 2013 NNLO fit).

Result: λ(M_Pl) = −0.0143 ± 0.0057 with β_λ ≈ +1.9×10⁻⁴ — near-critical, slightly metastable at 2.5σ. A downstream RGE bridge; kill at an RGE pull off the surface >5σ with settled (m_t, α_s).

experiments/higgs-criticality
Open the source documentLedger →
Astrophysics / horizon[E]Numerical fixed point

Cosmic Birefringence — Determinant Line

Claim ID: HOR.01
Target
βrad=φ04π=0.2424∘\beta_{\mathrm{rad}} = \frac{\varphi_0}{4\pi} = 0.2424^\circ

The determinant-line / Chern–Simons response of the seam. ACT DR6 measures 0.215° ± 0.074° — within 0.4σ of the TFPT value.

Dependency class
Horizon / determinant line
Kill / pressure test
An externally calibrated β = 0 within tight error.
Empirical auditconsistent

experiments/cmb-birefringence-seed tests one φ₀ → β AND Ω_b (seed line Ω_b/β_rad = 4π−1) plus the shared-seed extension φ₀ → β+Ω_b+θ₁₃+Cabibbo.

Result: β consistent at 0.37σ (ACT DR6); shared-seed χ²/dof = 1.23 (covariance unmodelled, so no combined significance is claimed).

experiments/cmb-birefringence-seed
Open the source documentLedger →
Astrophysics / horizon[C]Conditional

Axion Dark Matter — Candidate Fixed

Claim ID: FR.DM.01
Target
ma≈23.8 μeV,fa=Mscal128≈2.39×1011 GeVm_a \approx 23.8\,\mu\text{eV}, \quad f_a = \frac{M_{\mathrm{scal}}}{128} \approx 2.39\times 10^{11}\,\text{GeV}

The candidate is the determinant-line axion of the strong-CP sector (WIMPs ruled out — no spare E₈ singlet). The misalignment angle is a branch DECISION, not a closed number; f_a = M_scal/128 is a conjecture. The axion–photon anomaly coefficient, by contrast, is fixed by the seam constant itself: g_aγγ = −4c₃ = −1/(2π), i.e. y² = 16c₃² = 1/(4π²) ≈ 0.0253 — the same c₃ that fixes α and the birefringence β_rad, with no flow freedom (v207, GRAV.ASYMP.01 [E] leg). A [C] structural relation: it is the determinant-line coefficient, not a parameter-free g_aγγ in GeV⁻¹ (the physical coupling still carries f_a). A converged full finite-T solve (v185/v211, experiments/ftransfer/axion_relic) decides between two competing angles: the robust SPINE branch θ_i = π·N_fam/g_car = 3π/5 = 108° (the central spine quotient, no fit) lands Ω_a h² on Ω_DM untuned — 62° below the hilltop, in the MILD-anharmonic regime, so NOT exponentially sensitive (a far more robust landing). The seam hilltop θ_i = π(1 − φ_seam(α★)) ≈ 170° instead OVER-produces (Ω_a h² ≈ 0.66, ~5.4× above Ω_DM h² = 0.12) and is disfavoured. The two are mutually exclusive (neither is forced, the full solver decides); a converged Ω_a h² outside ~[0.08, 0.16] at the spine angle demotes the branch. A scenario, not a sharp prediction. Geometrically that spine angle is exactly the regular pentagon interior angle — since N_fam = g_car − 2, θ_i = (g_car−2)π/g_car, so cos θ_i = (1−√5)/4 = −1/(2φ), and the golden character is unique to g_car = 5 (v429): the otherwise-unmapped golden/icosahedral E₈ signature (v354/v313) is the geometry of this one external cosmological input — a [C] bridge that does NOT upgrade DM.AXION.SPINE.01.

Dependency class
Frontier interface
Kill / pressure test
Exclusion of the determinant-line axion window at the coupled sensitivity (relic abundance is scenario-sensitive, not closed).
Empirical auditrobust

experiments/ftransfer/axion_relic runs the full finite-T misalignment solve for both branches; experiments/lab-residuals overlays the haloscope coupling at 23.8 µeV.

Result: Hilltop θ_i = 170° overcloses (Ω_a h² ≈ 0.66, tension). SPINE θ_i = 3π/5 → Ω_a h² = 0.125, robust over [0.090, 0.151] for χ(T)/g_* AND an independent sudden+analytic cross-check. At 23.8 µeV (HAYSTAC band) DFSZ/KSVZ not yet excluded.

experiments/ftransfer/axion_relic
Open the source documentLedger →
Flavor / CKM[C]Conditional

Rare Kaons K → πνν̄ — a live falsification channel

Claim ID: FR.RAREKAON.01
Target
BR(K+ ⁣→π+ννˉ)=9.45×10−11,BR(KL→π0ννˉ)=3.33×10−11\mathrm{BR}(K^+\!\to\pi^+\nu\bar\nu)=9.45\times10^{-11},\quad \mathrm{BR}(K_L\to\pi^0\nu\bar\nu)=3.33\times10^{-11}

The closed TFPT CKM point (no flavor fit) feeds the cleanest FCNC probe. With standard external short-distance input (Brod–Gorbahn–Stamou X_t, P_c, κ_±) it gives BR(K⁺→π⁺νν̄) = 9.45×10⁻¹¹ and BR(K_L→π⁰νν̄) = 3.33×10⁻¹¹ — a [C] downstream readout, NOT a compiler power (the SD functions are external). The neutral mode ∝ (Im λ_t)² is a direct probe of the holonomy phase δ_CKM. The NA62 combination of the full 2016–2024 dataset, BR(K⁺) = (9.6⁺¹·⁹₋₁·₈)×10⁻¹¹ (La Thuile 2026), lands essentially on the prediction (+0.08σ); the earlier 2016–2022 observation was (13.0₋₃.₀⁺³·³)×10⁻¹¹ (~1.2σ above). This is a strong consistency hit for the closed CKM point — but honestly an F_transfer bridge, not a unique TFPT-vs-SM discriminator (the SM value (8.6±0.4)×10⁻¹¹ also sits within the NA62 error). The ~2σ δ_CKM tension keeps the NA62/KOTO-II corridor a live falsifier (v202). The leading term δ_CKM = π/3 is the hexagonal CM phase (the Eisenstein modular point j=0, arg ρ = π/3) — CP lives in this Z/6 phase fiber over the square (Z/4) seam deck, the geometric home of the one residual the magnitude logic does not cover (v220).

Dependency class
Flavor / residue matrix
Kill / pressure test
A stable NA62 BR(K⁺) outside [7,12]×10⁻¹¹, or a KOTO-II BR(K_L) off the predicted Grossman–Nir point, breaks the TFPT flavor bridge for this sector (the compiler core is untouched).
Empirical auditconsistent

experiments/rare-kaon-bridge tests the flavor bridge as a geometry: BR(K⁺), BR(K_L), R_K, δ_CKM/γ, Jarlskog and the Grossman–Nir bound together.

Result: BR(K⁺) −0.08σ (NA62), δ_CKM/γ +1.45σ (LHCb), Jarlskog −0.07σ (PDG); R_K = 0.352 respects Grossman–Nir. 3/5 legs are direct hits; R_K and BR(K_L) wait for KOTO-II.

experiments/rare-kaon-bridge
Open the source documentLedger →
Astrophysics / horizon[C]Conditional

EHT achromatic polarization intercept

Claim ID: HOR.EHT.01
Target
βBH(r)=16 c34 QeeffQmeffr2=1256π4QeeffQmeffr2\beta_{\mathrm{BH}}(r)=16\,c_3^4\,\frac{Q_e^{\mathrm{eff}}Q_m^{\mathrm{eff}}}{r^2}=\frac{1}{256\pi^4}\frac{Q_e^{\mathrm{eff}}Q_m^{\mathrm{eff}}}{r^2}

The local (horizon-collar) sibling of cosmic birefringence: a structured, achromatic residual rotation of the linear-polarization angle around a horizon-scale black hole. The coupling 16c₃⁴ = 1/(256π⁴) is fixed EXACTLY — the same top-form coefficient δ_top = 48c₃⁴ that controls the α-kernel correction, so there is no free coupling. TFPT fixes the 1/r² shape, achromaticity and sign-flip (under E·B reversal); the amplitude Q_e Q_m is an MHD/GR weight, so the channel is [C] (shape/sign). NOT the old UFE black-hole metric (superseded by Nariai/seam=horizon); only the polarization signature survives (v203).

Dependency class
Horizon / determinant line
Kill / pressure test
A structured achromatic residual intercept consistent with zero across the horizon-scale image after honest GRMHD subtraction — or one failing the frequency / 1/r² / sign-flip nulls — falsifies the channel (the compiler core is untouched).
Empirical auditdata-limited

experiments/eht-achromatic-residual ingests the real EHT M87 2017 polarimetry (uvfits, 2023-D01-01), runs the achromaticity diagnostic, a 4-injection recovery suite and a pipeline-readiness orchestrator.

Result: Real-data ingest done (band-to-band EVPA +0.9°, RM ~ 5×10⁵); the injection suite classifies 4/4 (1/r², Faraday λ², D-term, EVPA offset). The χ₀^res nulls stay data-limited — blocked on eht-imaging/SMILI + a GRMHD library (ipole).

experiments/eht-achromatic-residual
Open the source documentLedger →
Astrophysics / horizon[O]Open / not forced

BH HFQPO Third Tooth — the ×1.5 Ladder Search, Now Run: a Well-Powered Null

Target
ν3=32 νu    (661.5/414/252/363 Hz); integer lines 4ν0 forbidden\nu_3 = \tfrac{3}{2}\,\nu_u \;\; (661.5/414/252/363\,\mathrm{Hz}); \ \text{integer lines } 4\nu_0 \text{ forbidden}

The one discriminating test in the black-hole HFQPO sector has now been run: no published search ever targeted ν₃ = 1.5 ν_u, so the preregistered archival RXTE PCA scan (executed 2026-07: 77 ObsIDs / 4.42 GB across all four sources, sanity gate 11/12 published pair lines reproduced, injection-calibrated in every source) searched the tooth and the integer control line 4ν₀ blind — and found NEITHER anywhere (~0σ single-trial, trials-corrected N = 8 as preregistered). 3σ rms upper limits: 3.06 / 1.61 / 0.53 / 1.26% (GRO J1655−40, XTE J1550−564, GRS 1915+105, H1743−322) — in every source at or below the strength of the detected upper pair line. A well-powered null: the ladder reading gains no support (GR parametric resonance stays the standing favorite) but is not killed, since the harmonic branch did not fire either (the published integer lines 92 = 184/2 Hz, 34/68 Hz stand). TFPT's 3/2 is a relaxation-ladder step from N_fam = 3 (the same frozen kernel as the recovery combs), NOT a two-oscillator ratio — the mapping is non-canonical, which is why this stays a search target [O], not a claim. Caveats: GRS 1915+105 was scanned in a proxy state (the 113/168 Hz epochs were never published at ObsID level), and the GRO J1655−40 hard-band sensitivity (5.1% at 90% recovery) only excludes a tooth at the strength of its 450 Hz line. EXTENSION (2026-07-22, preregistered before download): the same frozen kernel on NICER/MAXI J1820+070 (single-QPO rule: tooth at (3/2)×55.12 = 82.68 Hz) — sanity gate PASS (the published 55.12 Hz anchor reproduced at 55.03 Hz / 0.94% rms / 3.8σ), injection calibration PASS (≥90% recovery at 0.93% rms), tooth NOT detected (0.69σ; 3σ limit 0.75% rms, below the anchor strength → null_with_sensitivity), the integer line at ~110.6 Hz at 3.82σ after trials — BELOW the preregistered 4σ threshold, a sub-threshold excess consistent with the weak second harmonic of ATel #11951, not a hit; AstroSat/LAXPC (GRS 1915+105 ~70 Hz) stays infrastructure-blocked (ISSDC login). The RXTE + NICER nulls now cover five sources on two instruments — the tooth channel is dormant.

Dependency class
Frontier interface
Kill / pressure test
A detected integer line (e.g. 4ν₀ = 2ν_u/1.5) with no geometric tooth at 1.5ν_u kills the ladder reading of the 3:2 pairs; even a tooth hit would stay [C] until the ladder↔oscillator mapping is derived. The compiler core is untouched either way.
Empirical auditnull

experiments/hfqpo-ladder runs H1 (exact-3/2 point test), H2 (Boutelier/Török anchored selection-null MC, 200k trials), H3 (ladder-tooth literature census) and the H3 stage-2 preregistered archival RXTE PCA scan with the byte-guarded frozen kernel.

Result: H1: four pairs consistent with 3/2 (p = 0.78) but J1859+226 sits +9.2σ off — not universal. H2: anchored selection alone makes the cluster in 18.5% of trials — H1 carries no discriminating weight. H3 stage 2 (archival scan, 2026-07): sanity gate and injection calibration PASS; neither the tooth nor the integer line detected anywhere; 3σ limits 0.53–3.06% rms. Extension (extension-nicer-laxpc, 2026-07-22): NICER/MAXI J1820+070 null_with_sensitivity (anchor reproduced 3.8σ; tooth limit 0.75% rms; integer line 3.82σ < 4σ threshold — sub-threshold excess, no hit); AstroSat/LAXPC infrastructure-blocked. Verdict null (well-powered, 5 sources / 2 instruments); GR resonance favored, ladder unsupported but not killed; channel dormant.

experiments/hfqpo-ladder
Open the source documentLedger →

Want the full reading guide?

The introduction states the compiler closure, the dependency DAG, the predictions, and the single proof ledger.

Open the reading guide