Nuclear Magic Numbers and Radioactive Decay from Dodecahedral Geometry in the Structured Vacuum Theory (TVS23)

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Autor principal: ACOSTA PADILLA, ALFREDO LUIS
Formato: Recurso digital
Publicado: Zenodo 2026
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author ACOSTA PADILLA, ALFREDO LUIS
author_facet ACOSTA PADILLA, ALFREDO LUIS
contents <p>We derive all seven nuclear magic numbers (2, 8, 20, 28, 50, 82, 126), the universal endpoint of natural radioactive decay chains (lead, Z=82), and the predicted upper stability limit (Z=120) entirely from the geometry of the structured vacuum with 23 channels and icosahedral symmetry group A₅. The Euler identity 2V+A+F=82 identifies lead as the unique topological closure of the dodecahedral cell. A combinatorial binding energy law BE_extra = C(n,2)·√23·mₑ reproduces alpha-conjugate nuclear binding energies with errors below 0.25% and zero free parameters. Beta emissions in all natural decay chains are shown to occur in multiples of N_temp=2, consistent with paired temporal channel reorientation. The predicted upper stability limit Z=120 equals the order of the full icosahedral group Ih=2A₅, independently confirmed by relativistic mean-field models.</p>
format Recurso digital
id zenodo_https___doi_org_10_5281_zenodo_19297521
institution Zenodo
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publishDate 2026
publisher Zenodo
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spellingShingle Nuclear Magic Numbers and Radioactive Decay from Dodecahedral Geometry in the Structured Vacuum Theory (TVS23)
ACOSTA PADILLA, ALFREDO LUIS
nuclear magic numbers, radioactive decay, dodecahedral symmetry, icosahedral group, structured vacuum, binding energy, lead Z=82, shell model, alpha decay, beta decay, TVS23, Pisot polynomial, A5 symmetry, Euler characteristic, nuclear stability
Physical Sciences → Nuclear Physics Physical Sciences → Mathematical Physics Physical Sciences → Theoretical Physics
<p>We derive all seven nuclear magic numbers (2, 8, 20, 28, 50, 82, 126), the universal endpoint of natural radioactive decay chains (lead, Z=82), and the predicted upper stability limit (Z=120) entirely from the geometry of the structured vacuum with 23 channels and icosahedral symmetry group A₅. The Euler identity 2V+A+F=82 identifies lead as the unique topological closure of the dodecahedral cell. A combinatorial binding energy law BE_extra = C(n,2)·√23·mₑ reproduces alpha-conjugate nuclear binding energies with errors below 0.25% and zero free parameters. Beta emissions in all natural decay chains are shown to occur in multiples of N_temp=2, consistent with paired temporal channel reorientation. The predicted upper stability limit Z=120 equals the order of the full icosahedral group Ih=2A₅, independently confirmed by relativistic mean-field models.</p>
title Nuclear Magic Numbers and Radioactive Decay from Dodecahedral Geometry in the Structured Vacuum Theory (TVS23)
topic nuclear magic numbers, radioactive decay, dodecahedral symmetry, icosahedral group, structured vacuum, binding energy, lead Z=82, shell model, alpha decay, beta decay, TVS23, Pisot polynomial, A5 symmetry, Euler characteristic, nuclear stability
Physical Sciences → Nuclear Physics Physical Sciences → Mathematical Physics Physical Sciences → Theoretical Physics
url https://doi.org/10.5281/zenodo.19297521