Original ledger status
COSMO.NSTAR.01
COSMO.NSTAR.01
N_star band -> POINT [P] (the announced 'future derivation from a reheating model' executed; demotion of N_star as a compiler output STANDS): the only compiler input is M_scal=c3^{7/2}Mbar=3.0600e13 GeV [I] (v28/v36/v80); everything downstream is imported standard physics - scalaron width Gamma=N_eff M^3/(48pi Mbar^2) with N_eff=4 (SM Higgs doublet; Starobinsky/Vilenkin/Gorbunov-Panin), reheating at H=Gamma => T_reh=(30 rho/(pi^2 g*))^{1/4}=9.55e9 GeV (g*=106.75), pivot matching with w=0 scalaron oscillations + entropy conservation on the EXACT Starobinsky potential V=(3/4)M^2 Mbar^2(1-e^{-sqrt(2/3)phi})^2. RESULT: N_star(k=0.05/Mpc)=51.44 => n_s=1-2/N_star=0.9611, r=12/N_star^2=0.00454. CROSS-CHECK: k=0.002/Mpc gives N_star=54.7 = the known R^2-reheating literature value (~54). ROBUSTNESS: channel ambiguity N_eff=1..100 moves N_star by <0.8 e-folds (log sensitivity); instantaneous-reheating upper bound N_star<=55.7. FREEZE DISCIPLINE: 51.4 lies inside the frozen registry band [50,60]; predictions_frozen.json NOT modified (v84 lock intact). HONEST TENSIONS RECORDED: (1) n_s=0.9611 is +0.90 sigma below Planck 2018 (0.9649+-0.0042) and increases the DESI-combined tension; (2) A_s COHERENCE is sharper: with M_scal fixed A_s=N^2 c3^7/(24pi^2) is also predicted, A_s(51.44)=1.764e-9 = -11.4 sigma vs Planck 2.105(30)e-9; the A_s-preferred N_star=56.20 exceeds even the instantaneous-reheating bound 55.61 by 0.59 e-folds (instantaneous gives 2.06e-9 = -1.5 sigma, compatible) => within standard physics the measured A_s REQUIRES near-instantaneous reheating and the slow Higgs-channel point is A_s-disfavoured. The [P] point is CONDITIONAL on the decay channel; the frozen band [50,60] remains the prediction surface of record. Kill criteria: robust n_s>=0.967 falsifies the reheating chain (not the [I]/[L] core); A_s already arbitrates between fast and slow reheating
Recorded status: Physical [P] (conditional on M_Star=M_scal + standard reheating)
Dependencies, status detail and source
Canonical status: Physical [P]: N_star=51.4 point inside the frozen band; demotion as compiler output stands
Dependencies: GRAV.SCAL.01 (M_scal); PRED.LAYER.01; REG.FREEZE.01
Scripts: v86_nstar_reheating.py
Location: origin_theory;tfpt_2;introduction
Original CSV, line 160