the card
The bracketed parameters.
| parameter | bracket | source | class |
|---|---|---|---|
| a — audit state-dependence | |a| < 5.8×10⁻⁶ (theory expects 0) | VOIDED as a Cassini constraint by the trunk audit (§16–17): the model's clock regime is empty (overdamped everywhere: domination needs γ > 39, oscillation needs γ < 0.012), the local response does not converge to the uniform scaling (s = 0.415 vs 0.25, 66% off; source exponent 1.261 vs 1), and a = 0 was reverse-engineered. γ_PPN = (1−2a)/(1+2a) is a dictionary identity under A1–A6, not a prediction; the registered n53 clock gate had in fact FAILED (γ_dict = −1.25). Rebuilding: audit gates 22.1–22.4 | [A*] |
| ℓs — substrate scale | < 4.3×10⁻²⁷ m (Planck allowed below) | GRB photon dispersion × the lattice form; substrate energy > 4.6×10¹⁰ GeV | [B] |
| γ — audit rate (the knee) | [5.2×10¹⁴, ~7×10³⁴] s⁻¹; predicted window 10¹⁹–10²²; anchor bet 5.7×10¹⁸ (soft X-ray) | floor: PSR J0737-3039; ceiling: c/ℓs; window: the hierarchy demand; anchor: γ = α·mec²/ħ — a pure hypothesis since n228 (the Q = α/α_G route died with the single ledger; no two-ledger invariant found). Frame-blindness holds across the ENTIRE window (α₂ safe by 30+ orders even at the floor, n139); the mW/pN kills are retracted (n181); no absolute target armed | [C]/[C′] |
| Δ — monitor detuning | Δ < 0 (sign only) | the passivity theorem (attraction needs Δ < 0); note: Λ's sign is now branch-INDEPENDENT (n114) — the bill no longer constrains Δ | [T-family] |
| Q = κ/|Δ| — the vacuum's quality factor | α/α_G under the anchor: 4.2×10⁴² (electron) / 1.2×10³⁶ (proton) | the bridge identity Γdyn/Ωst = ¼·Q (coefficient corrected per audit §11) — a shared-parameter identity (§12): its promotion to gravity's weakness / the knee's location assumes five named transfers, none established | [A]/[C′] |
| S∞ — continuum coupling 1/e² | 202.588 ± 0.010 (2D) · 493.83 ± 0.30 (3D); no running (finite-size only) | 1/L² fits; the α⁻¹ ballpark {494–6205} vs 137 is characterization only | [A-toy] |
| ξ — substrate anharmonicity | ξ = 0.2312 — VOIDED as a calibration (audit §25): outside controlled perturbation theory (2nd order = 3× 1st; the nonlinear solver diverges; no stable branch shown); the Δβ dictionary itself is imported, no orbit computed; the published script is broken (gate defect). Rebuild: audit gates 29.1–29.3 | layer form DERIVED, not chosen (three gates: Nordtvedt, Mercury, CPS — one survivor); the theory's busiest number: Mercury, Λ's sign (+1315ξ²), and the graviton's forced marginality (ξ²/E₀ = 9.4, n144-145) | [A-pert]/[B] |
| ΔP — the pump bill (Λ direction) | ΔP > 0 — sign robust; coefficient model-dependent (61–404 across N, g, κ), even in ξ, branch-independent | exact 2nd-order perturbation theory, derivative vertex (cubic killed by the Nordtvedt gate, n112); only the sign transfers; Λ > 0 in sign — scale open (the wound) | [A-pert] |
| ηN — Nordtvedt coefficient | 0, exact (kself = kcross = 2.000000000000) | discrete integration-by-parts identity on the derivative layer (audit §23: a lattice identity, NOT the relativistic Nordtvedt parameter — LLR/MICROSCOPE test a larger statement) | [T-lattice] |
| pump stability | < 10⁻¹⁴ / yr | lunar laser ranging (Ġ/G) | [B] |
| pump C-symmetry — sublattice asymmetry | < ~10⁻¹⁸ | kaon CPT interferometry (|Δm|/m < 6×10⁻¹⁹) via the matter/antimatter cost offset | [B] |
| substrate constancy | < 10⁻¹⁹ / yr | atomic-clock α̇/α; quasar μ̇/μ < 6×10⁻¹⁷ | [B] |
| λ-universality — consumption ∝ energy | composition dependence < 10⁻¹⁵ | MICROSCOPE | [B] |
| substrate isotropy | < 10⁻¹⁸ (passed with ~50 orders of margin) | optical-resonator Michelson–Morley | [B] |
| mγ — photon mass | static kernel zero, exact | audit §51: W's static zero is not a dynamical photon pole — the mγ bound cannot be applied to it; the word photon unearned | [T-static] |
| the units bridge (cdrag retired) | Γ = ¼·Q·(G/c⁵)·P²/(ħγ)·L(ω) | closed at class B (n128): the bridge ratio Γdyn/Ωst = ζQ — the Q¹ exponent now survives the full family sweep (n196), while ζ itself is geometry-dependent (demoted); L(ω) Lorentzian to within 11% at the knee (n128 model); both absolute targets (mW beam, 3 pN single-ion) retracted by the gate execution (n181: benchmark geometry factors outside the frozen [0.1, 10]); no absolute target is armed — rates are computed per design through the n181 functional | [B] |
| born in the reconstruction (n110–n149) | |||
| ζ — two-channel coefficient | ζ = 1/4 exact (sinusoidal protocol; 0.4834 retracted as a partial-cycle artifact, audit §11) | the sweep RAN (n196, frozen thresholds): the Q¹ exponent survives every family member (slopes 1.000 ± 0.001 across spectra, kernels, monitor rows — the law is the exponent); the coefficient is demoted permanently — ζ spread ×28.6 across kernels (threshold ×3): Γ bills the modulated source's own weights, the static channel pays the pair overlap, so ζ carries the source-pair geometry. Order-unity only for compact single-cell sources; otherwise computed per design (n181). The sweep → | [A-model] |
| E₀, κband — FS shear gap & curvature | 5.667×10⁻³; −3.7×10⁻⁵ | the bare side of the graviton cancellation (n141); flat band kills any free-inertia escape jointly with mg and cgw | [A-toy] |
| pTT — TT edge exponent | ≈ 2.7 | triple duty: kills free composite gravitons, protects the collective mode (zero width on the cone), suppresses the speed-test signal (n140/147/148) | [A-toy] |
| μg — metric inertia | induced, not free (∂Π/∂ω² = +0.017) | matter loops supply it (n147 T1); the n140 postulate retired before adoption | [A-toy] |
| mDM — the dark quantum | 1.9–13.5 keV; minimal handle k = 3, cycle 6 | capacity minimality × the anchor extension (n137); born cold (KZ) — the Lyman-α alibi; no decay line ever | [C] |
| σ/m — DM self-interaction | ≤ 3×10⁻¹² cm²/g | the no-freedom arithmetic (n138, headstone 33): effectively collisionless; kill at ≥ 10⁻³ | [B-chain] |
| mg — graviton residual mass | ~ √Λ ~ 10⁻³³ eV | the sandpile's rearrangement quantum × the pump's Λ-whisper (n146); ten orders inside the bound | [C] |
| pKZ — quench exponent | 0.615, log-residual 0.034 | the relic abundance's mechanism, measured in-house (n136) | [A-toy] |
| α₁, α₂ — preferred-frame PPN | 0 at (k·w/γ)² ≈ 10⁻⁴⁹ | the hierarchy is the protection (n139); margin 10⁴⁰; kill: any confirmed detection | [A] |
| kpump — w(z)↔Ġ coefficient | < 8×10⁻⁵ if DESI holds | the live squeeze (n110); stance: the w₀wₐ preference dissolves | [B] |
| U″ — bare substrate elasticity (the 4th postulate) | > T=0 softness — one-sided only; the 54-digit vice DISSOLVED | the blind-channel thermostat (n156): shear is audit-invisible, so its only cooling is avalanche — the effective residual self-pins at marginal for ANY U″; the graviton is massless without tuning | [A-struct] |
| the consistency web | ξ, Q, γ, S∞ each carry 3–4 independent jobs: the one-stroke web is SUSPENDED by the survival audit (n226): its last link routed through the single audit quantum (mDM = O(1)×ħγ via the demoted capacity band), and P3″ splits the sectors the web chained — each link must be re-derived per ledger before any chain is claimed | [suspended] | |