The reheating input behind the inflation band
Original ledger classification: Physical [P] (conditional on M_Star=M_scal + standard reheating)
Recorded statement: 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…
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Paper context: Red-team audit
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COSMO.NSTAR.01
Original ledger classification: Physical [P] (conditional on M_Star=M_scal + standard reheating)
Original claim text
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
Original classification detail
Physical [P]: N_star=51.4 point inside the frozen band; demotion as compiler output stands
Dependencies as recorded
GRAV.SCAL.01 (M_scal); PRED.LAYER.01; REG.FREEZE.01
Open the original ledger source, row 160Location recorded in the ledger
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- TFPT — Introduction and reading guide
- Origin Theory
- Standard Model and flavor structure
Sections that explicitly cite this claim
A literal claim identifier is present in these paper sections. The section and its premises determine what the citation supports.
- 2026-06-12 (marker simplification to 4 classes + status reconciliation)Research changelog; TFPT — Introduction and reading guide
- 2026-06-12 (tfpt_1 / tfpt_2 style alignment + box reduction)Research changelog; TFPT — Introduction and reading guide
- OutcomeRed-team audit
Navigation through a shared verification script
These sections cite a script associated with the claim. This is a source navigation join, rather than an explicit citation of the claim or a theorem equivalence.
- Inflation interfacetfpt 1 architecture e8
- The closure ledger: what is done, and what genuinely remainsTFPT — Introduction and reading guide
- 2026-06-12 (external review integrated: [formula in source] typing, marker migration, website parity)Research changelog; TFPT — Introduction and reading guide
- A closure program (next phase)input 4 origin theory
- Neutrinostfpt 2 standard model
- Sector inventory: have all the old-cascade sectors been computed?input 5 tfpt 3 e8 audit bootstrap
- Inflation interfacetfpt 1 architecture e8
- NeutrinosStandard Model and flavor structure
All 21 linked sections
- The hard reduction: the live residual as typed interfaces
- A closure program (next phase)
- Sector inventory: have all the old-cascade sectors been computed?
- Predictions for running and upcoming experiments
- Front matter / support
- A closure program (next phase)
- Front matter / support
- 2026-07-21 (the two 2026-07-20 prediction-of-record rows promoted to the suite: v494 — [formula in source] running [formula in source] [formula in source] -distortion branch discriminator machine-checked, ledger rows COSMO.RUNNING.01/ COSMO.MUDIST.01, prediction surfaces synced; no gate closes, no marker moves)
- A closure program (next phase)
- Inflation interface
- Sector inventory: have all the old-cascade sectors been computed?
- The [formula in source] truncation is [formula in source] -bounded
- The [formula in source] truncation is [formula in source] -bounded
Registered verification modules
- v86_nstar_reheating.pyRegistered verification module · registry
Read the description recorded in the module registry
N★ from the theory's own scalaron mass + standard reheating: Γ=128 GeV, T_reh=9.6×10⁹ GeV, N★(0.05/Mpc)=51.4 ⇒ n_s=0.9611, r=0.0045 [P] — recorded honestly: A_s coherence disfavours the slow Higgs channel (−11.4σ); the frozen band [50,60] stays the surface of record
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