TQNT-V5.7 (v1.2) — V5.5-V5.6 closure monograph: α, κ_g, and WB-slope via framing anomalies

TQNT-V5.7 v1.2 closure monograph consolidating the V5.5 program (SU(2)_135 modular structure, α derivation, κ_g first-principles, Bertschinger CGQ, Press-Schechter, Ω² saturation) and the V5.6 step (Wechsler-Bullock slope closure via framing anomalies + 1/c expansion). Three results validated analytically AND empirically to <1%: α=1.1991 (0.076%), κ_g=3.13e-53 m (0.05%), and slope c(M_h) = -0.106 ± 0.070 (0.1σ vs WB target -0.10). Empirical inputs explicitly documented: n_0~1.6 (order-of-magnitude) and α_c=+0.50 (SPARC-calibrated 1/c). Five falsifiable predictions stable: knee in c(M_h) at M_h~10^12 (Roman/Euclid 2026-2028), 40 Gen 5+ heavy protons, DM-N spectrum, Σm_ν~66 meV, 0νββ τ=∞.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-12
DOI
https://doi.org/10.5281/zenodo.20652660
Primary Topic
Nuclear physics research studies
Type
preprint
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preprint

TQNT-V5.7 (v1.2) — V5.5-V5.6 closure monograph: α, κ_g, and WB-slope via framing anomalies

Lilian Cariou
Zenodo (CERN European Organization for Nuclear Research)
Nuclear physics research studies
preprint

TQNT-V5.7 (v1.2) — V5.5-V5.6 closure monograph: α, κ_g, and WB-slope via framing anomalies

Lilian Cariou
preprint en

Abstract

TQNT-V5.7 v1.2 closure monograph consolidating the V5.5 program (SU(2)_135 modular structure, α derivation, κ_g first-principles, Bertschinger CGQ, Press-Schechter, Ω² saturation) and the V5.6 step (Wechsler-Bullock slope closure via framing anomalies + 1/c expansion). Three results validated analytically AND empirically to <1%: α=1.1991 (0.076%), κ_g=3.13e-53 m (0.05%), and slope c(M_h) = -0.106 ± 0.070 (0.1σ vs WB target -0.10). Empirical inputs explicitly documented: n_0~1.6 (order-of-magnitude) and α_c=+0.50 (SPARC-calibrated 1/c). Five falsifiable predictions stable: knee in c(M_h) at M_h~10^12 (Roman/Euclid 2026-2028), 40 Gen 5+ heavy protons, DM-N spectrum, Σm_ν~66 meV, 0νββ τ=∞.

Zenodo (CERN European Organization for Nuclear Research)
Systématique, adaptation, évolution (FR)
Nuclear physics research studies
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