Φ-BETA Ω3: Geometric Unification of pp → PbPb Scales via Pentadic Phase Locking

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Main Author: Tibedo, Charles
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Published: Zenodo 2026
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author Tibedo, Charles
author_facet Tibedo, Charles
contents <p>Title: The Alpha is Golden: Φ-BETA Ω³_QED Geometric Unification of pp → PbPb Scales</p> <p>Abstract: <br>We present a parameter-free geometric derivation of transverse sphericity evolution in heavy-ion collisions, achieving perfect 7/7 agreement (χ²/DOF = 0.017) with CMS data across PbPb centralities and XeXe system size. The Ω³_QED operator incorporates Z^(1/3) Dodecahedral projection scaling and Z² QED phase locking, predicting S_T[0.9346] = 4.10% (0-10% PbPb) from first principles using only φ, α_em, and nuclear charge Z=82.</p> <p>Key Results:<br>• 6/6 PbPb centralities matched (max deviation 0.25σ) [Phys. Rev. C 96, 015202]<br>• XeXe Z=54 validation: 3.32% (theory) vs 3.40±0.20% (CMS-HIN-24-004) <br>• RAW CMS Open Data confirmation (50M events, sub-% precision)<br>• QCD HYDJET models fail by 5.2σ (Fig. 1)</p> <p>The model demonstrates "jet quenching" emerges as unitary geometric phase locking rather than stochastic QCD transport, with α_em derived as a geometric consequence of pentadic vacuum structure.</p> <p>Includes: Complete C++ verification kernel, ROOT macros for RAW data validation.</p> <p>arXiv: hep-ph (pending submission)<br>DOI: 10.5281/zenodo.[generated]<br>Keywords: heavy-ion collisions, jet quenching, geometric field theory, event shapes, CMS, Φ-BETA, golden ratio, fine structure constant</p>
format Recurso digital
id zenodo_https___doi_org_10_5281_zenodo_18830384
institution Zenodo
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publishDate 2026
publisher Zenodo
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spellingShingle Φ-BETA Ω3: Geometric Unification of pp → PbPb Scales via Pentadic Phase Locking
Tibedo, Charles
Particle physics
Particle Accelerators
Particle Accelerators/standards
Particle Accelerators/instrumentation
Nuclear Physics
Mathematical physics
Physics
<p>Title: The Alpha is Golden: Φ-BETA Ω³_QED Geometric Unification of pp → PbPb Scales</p> <p>Abstract: <br>We present a parameter-free geometric derivation of transverse sphericity evolution in heavy-ion collisions, achieving perfect 7/7 agreement (χ²/DOF = 0.017) with CMS data across PbPb centralities and XeXe system size. The Ω³_QED operator incorporates Z^(1/3) Dodecahedral projection scaling and Z² QED phase locking, predicting S_T[0.9346] = 4.10% (0-10% PbPb) from first principles using only φ, α_em, and nuclear charge Z=82.</p> <p>Key Results:<br>• 6/6 PbPb centralities matched (max deviation 0.25σ) [Phys. Rev. C 96, 015202]<br>• XeXe Z=54 validation: 3.32% (theory) vs 3.40±0.20% (CMS-HIN-24-004) <br>• RAW CMS Open Data confirmation (50M events, sub-% precision)<br>• QCD HYDJET models fail by 5.2σ (Fig. 1)</p> <p>The model demonstrates "jet quenching" emerges as unitary geometric phase locking rather than stochastic QCD transport, with α_em derived as a geometric consequence of pentadic vacuum structure.</p> <p>Includes: Complete C++ verification kernel, ROOT macros for RAW data validation.</p> <p>arXiv: hep-ph (pending submission)<br>DOI: 10.5281/zenodo.[generated]<br>Keywords: heavy-ion collisions, jet quenching, geometric field theory, event shapes, CMS, Φ-BETA, golden ratio, fine structure constant</p>
title Φ-BETA Ω3: Geometric Unification of pp → PbPb Scales via Pentadic Phase Locking
topic Particle physics
Particle Accelerators
Particle Accelerators/standards
Particle Accelerators/instrumentation
Nuclear Physics
Mathematical physics
Physics
url https://doi.org/10.5281/zenodo.18830384