Structural Acoustic Scale ι_τ⁻⁵ Cross-Check
ι_τ⁻⁵ = ((π+e)/2)⁵ = 215.92 vs observed ℓ₁ = 220.0 (−1.85%). Exponent −5 = −(dim(τ³)+N_lobes) = −(3+2). Captures correct scale; 1.9% gap may require NLO correction. Best NLO candidate 1/W₃(4)² = 0.04 gives 224.6 (+2.1%), overshooting. The Friedmann integral (V.T192) gives superio
What this page is
This is a public Results-lane surface for a noteworthy Physics Registry item. It is generated from the Corpus Registry triage catalogue and keeps the generic Result catalogue unchanged.
Registry evidence
- Registry item: V.P135
- Type: proposition
- Scope: conjectural
- Lean status: formalized
- Book / part / chapter: Book V · Part 6 · Chapter 56
Result summary
ι_τ⁻⁵ = ((π+e)/2)⁵ = 215.92 vs observed ℓ₁ = 220.0 (−1.85%). Exponent −5 = −(dim(τ³)+N_lobes) = −(3+2). Captures correct scale; 1.9% gap may require NLO correction. Best NLO candidate 1/W₃(4)² = 0.04 gives 224.6 (+2.1%), overshooting. The Friedmann integral (V.T192) gives superior precision (+0.28%).
Related Results surfaces
- CMB First Peak ℓ₁: LO at +2840 ppm, NLO at +69 ppm
- First CMB Acoustic Peak ℓ₁
- CMB Tensor-to-Scalar Ratio r = ι_τ⁴
Reading role
Use as Registry evidence for an existing Results surface.
Claim boundary
This page reports a Registry-backed internal result surface. It is not an external validation claim, a scientific consensus claim, or independent acceptance.
Curation rationale
- physics-facing terms: acoustic
- candidate is better handled as evidence for an inferred existing public surface
Review notes
- No additional review notes recorded.