CMB spectral distortion as a branch test
Original ledger classification: Physical [C] (Chluba-window bridge, data-limited) + Identity [E] (comb-blindness attenuation)
Recorded statement: CMB mu-distortion as the A_s/N_star BRANCH DISCRIMINATOR, PROMOTED from the 2026-07-20 scorecard prediction-of-record row (data-limited; shares the Nstar_branch alternative group with the two A_s readings -- one branch question, several…
Statement, assumptions and sources
Paper context: Standard Model and flavor structure
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COSMO.MUDIST.01
Original ledger classification: Physical [C] (Chluba-window bridge, data-limited) + Identity [E] (comb-blindness attenuation)
Original claim text
CMB mu-distortion as the A_s/N_star BRANCH DISCRIMINATOR, PROMOTED from the 2026-07-20 scorecard prediction-of-record row (data-limited; shares the Nstar_branch alternative group with the two A_s readings -- one branch question, several readings). [C] Chluba-Erickcek-Ben-Dayan k-space window calibrated +21% on the LCDM Planck-2018 anchor to the literature mu_LCDM ~ 2.0e-8: sharp branch N_star = 51.4 (A_s = 1.76e-9) mu = 1.6e-8; profiled record N_star = 56.1 (A_s = 2.10e-9) mu = 1.94e-8 (~2.0e-8); band N_star in [50,60]: 1.5e-8 .. 2.3e-8; branch split Delta mu = 3.0e-9 (ratio 1.23) => >=3 sigma branch decision at sigma(mu) = 1e-9 (Voyage-2050 class). REACH: the PIXIE baseline 95% limit 9e-8 does NOT reach the band (sharp = 0.18 x limit); FIRAS 9e-5 is 4 dex above -- data-limited until a PIXIE+/Voyage-2050-class mission. [E] COMB BLINDNESS (honest S15 typing): the frozen recovery log-comb (omega = 2 pi/ln((3/2)^6) = 2.5827, eps = 0.0173) is STRUCTURALLY invisible in the mu window -- attenuation |F(omega)| = 0.033, delta mu = 7.4e-12 = 0.007 sigma even at Voyage-2050; the theory itself predicts where it cannot be seen, so NO comb-search row is opened. KILL: robust mu < 0.9e-8 or > 4e-8. FENCE: N_star stays an external input (GATE.NSTAR.01); the frozen band [50,60] stays the surface of record; no gate closes, no marker moves
Original classification detail
[C] mu band 1.5-2.3e-8; branch split 3.0e-9 = 3 sigma at Voyage-2050; PIXIE baseline does not reach; [E] frozen comb structurally blind (0.007 sigma); kill = robust mu outside [0.9, 4]e-8
Dependencies as recorded
COSMO.INF.01; COSMO.NSTAR.01; GATE.NSTAR.01
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- Standard Model and flavor structure
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- Front matter / supportTFPT — Introduction and reading guide; Verification reference catalog
- 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)Research changelog; TFPT — Introduction and reading guide
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- Inflation interfacetfpt 1 architecture e8
- Inflation interfacetfpt 1 architecture e8
- Inflation interfaceArchitecture, E8 and the electromagnetic fixed point
- The [formula in source] truncation is [formula in source] -boundedtfpt 2 standard model
- The [formula in source] truncation is [formula in source] -boundedStandard Model and flavor structure
Registered verification modules
- v494_cosmo_running_mu_record.pyRegistered verification module · gravity
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α_s/β_s running + μ-distortion promoted to the suite: [E] LO identities α_s=−2/N★²=−r/6, β_s=−4/N★³ (sympy exact) + exact slow roll α_s(51.4)=−7.09×10⁻⁴, β_s=−2.70×10⁻⁵ (band −8.0…−5.6×10⁻⁴ LO); [C] Planck 2018 +0.57σ, record leg P-ACT-LB −1.33σ (kill: robust POSITIVE running ≥5σ); [C] μ-distortion branch discriminator (Chluba window, +21% LCDM-anchored): sharp 1.6×10⁻⁸ / profiled 1.94×10⁻⁸, band 1.5–2.3×10⁻⁸, split 3.0×10⁻⁹ = 3σ at Voyage-2050 σ(μ)=10⁻⁹ (PIXIE baseline does not reach); [E] the frozen log-comb is structurally blind in the μ window (|F|=0.033, δμ=7.4×10⁻¹² = 0.007σ). N★ stays an external input (GATE.NSTAR.01); band [50,60] stays the record.
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