Original ledger status
AS.RECONCILE.01
AS.RECONCILE.01
A_s is predicted (not missing), is DIMENSIONLESS (so it does NOT define an absolute mass), and the apparent -11 sigma tension is a reheating-channel question -- reconciled with the archived old derivation (TFPT v4.5/v4.6, 2026-06-22). [E] A_s = N_star^2 (M_scal/Mbar)^2/(24 pi^2) = N_star^2 c3^7/(24 pi^2) (v86); M_scal/Mbar = c3^{7/2} = 1.2565e-5 is a PURE RATIO, so A_s carries NO absolute scale -- it pins N_star (the e-fold count), NOT M_bar => A_s does NOT define mass (No-Unit v153 stands; 'mass itself' is set by gravity M_bar = (8 pi G)^{-1/2}, the one dimensionful input). [N] the -11.4 sigma is the slow-vs-fast reheating dichotomy: slow Higgs channel N_star=51.44 -> A_s=1.764e-9 (-11.4 sigma vs Planck 2.105(30)e-9); the A_s-preferred N_star=56.2 (~ the instantaneous bound 55.6). [P] ARCHIVE COMPARISON: the old v4.5/v4.6 (07_cmb_operational_closure) used the ALGEBRAIC N_star=3/phi0-1=55.42 (+ alpha_R=(Omega_adm/4pi)e^{1/phi0}) and reported A_s=2.124e-9; at that N_star the current normalisation gives A_s=2.047e-9 (-1.9 sigma) -- consistent (~4% offset = alpha_R vs c3^7); the old clean A_s = N_star~55.4 (near-instantaneous), NOT the slow channel. [E] nothing lost: the current theory DERIVES N_star from reheating physics (more honest) and exposes that the A_s match REQUIRES fast reheating; record band N_star in [50,60] (v84). [X] decisive test: fast preheating (A_s ok, c3^{7/2} stands) OR slow reheating confirmed (exponent-7 fails).
Recorded status: Reconciliation [E]/[N]/[P]/[X] (A_s predicted+dimensionless; tension = reheating channel; archive comparison)
Dependencies, status detail and source
Canonical status: [E] the dimensionless A_s formula + the no-mass-definition consequence; [N] the reheating-channel quantification; [P] the archive comparison (the old N_star=3/phi0-1 is a posited algebraic count, NOT re-promoted to [E]); [X] the test. Does NOT change the frozen band.
Dependencies: v86; v153; v84; SCALE.OVERDET.01
Scripts: v340_As_reconcile.py
Location: origin_theory
Original CSV, line 442