the card
The bracketed parameters.
| parameter | bracket | source | class |
|---|---|---|---|
| a — audit state-dependence | |a| < 5.8×10⁻⁶ (theory expects 0) | Cassini, via γ = (1−2a)/(1+2a) | [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 | [C]/[C′] |
| Δ — monitor detuning | Δ < 0 (sign only) | the passivity theorem; active vacuum stable, unbilled, noise-free | [T-family] |
| Q = κ/|Δ| — the vacuum's quality factor | ≫ 1; pinned the day the knee is found | the hierarchy lock (exact, 4 digits) | [A] |
| 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; in-situ: Δβ = +0.5000 ± 0.0001 | Mercury + LLR (the four-digit target the tensor junction must derive) | [A-pert]/[B] |
| ΔP — the pump bill (Λ direction) | +232·ξ² > 0, even in ξ, branch-independent | exact 2nd-order perturbation theory; Λ > 0 in sign — scale open (the wound) | [A-pert] |
| 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 | 0 by theorem | exact Gauss zero mode (10⁻³²); satisfies < 10⁻¹⁸ eV structurally | [T] |
| cdrag — the units bridge | 0.02 at κ_read = 1 (toy) | the one number every [C] bracket awaits — unbuilt | [C] |