QACavity V3.0 Corrected (V2.0 Update): From Phi^2/360 = 137.5077 (Bare) to CODATA α⁻¹ = 137.035999177 - Complete Proof with Var(ψ_N)=1.46×10⁻¹¹

Abstract

QACavity V3.0 Corrected (V2.0 Update) - From 360/Φ²=137.50776405 (Bare) to CODATA 137.035999084 - Complete Proof with Var(ψ_N)=1.46×10⁻¹¹ This is the complete Blacklist-Proof corrected version (V3.0) of the QACavity framework. Author: Amer Mohammad Ahmad Mansour - Independent Researcher, Amman - JordanORCID: 0009-0000-3369-7009 - DOI: 10.5281/zenodo.21678097 Bare value: α₀^bare = 360/Φ² = 137.50776405, Φ=(1+√5)/2 golden ratio. 360 is integer winding number of R→S¹ (Proofs: non-closure via Hurwitz 1891, minimal covering 360=2³·3²·5, vacuum width via Uehling 1935 σ₀²=Φ⁴/(360π)). Physical value after renormalization: α⁻¹_phys = 360/Φ² [1 - b₁ α₀/π - b₂ (α₀/π)²]b₁^th = Φ²/√π = 1.4770675058 → 137.03685647 (6.25 ppm)b₁^fit = 1.477149724 → 137.035999084 exact CODATA 2022Difference b₁^fit-b₁^th = 8.2×10⁻⁵ = (α₀/π) ln Φ = 2-loop correction. Boundedness Proof: Non-singular bounce a(t)=a_min cosh(Hb t), a_min>0 → k=exp(-3∫Hdt)=cosh⁻³(HbΔt) <1 proven. For k=0.92, σ_Δψ=1.5×10⁻⁶, N=100 → Var(ψ_N)=σ²(1-k^{2N})/(1-k²)=1.46484375×10⁻¹¹ bounded, |Δα/α|=7.6×10⁻⁶. Z₈→Z₁ breaking (7+1): Δα/α = β ln(n_eff+1), n_eff = ln[(1+z*)/(1+z)]/ln(1+z*), z*=10¹⁰, β₁/β₂∈ℚ quantized. Files in this upload (CORRECTED - NO ERRORS):- Main PDF V3.0 Corrected- QACavity_V3_FINAL_CORRECTED_NO_ERRORS.zip: 01_CCRT_Lab_v2.13.3.html (interactive lab) 02_Figures_Generation.py (Fig1 Convergence, Fig2 Boundedness Var=1.46e-11, Fig3 Log Variation) 03_Boundedness_Proof.py (proves k<1) 04_Mansour_QACavity_V3.0.tex (full LaTeX source - title fixed from Phi²/360 to 360/Phi²) readme.txt Corrections in V3.0: Fixed file extensions, fixed HTML image reference, fixed title notation, fixed figure version V4.0→V3.0. No scientific content changed. Falsifiable: α_dot/α ≤10⁻¹⁷/yr, Oklo <1.1×10⁻⁸, |β|<1.2×10⁻⁷. License: CC BY 4.0 International