Hierarchical Prime Helices and the Emergence of Physical Constants: A Structured Vacuum Theory Framework

VERSION 2 - December 2025 MAJOR ADDITIONS:- Geometric reconnections: Π_π/Π_α = π×p₁, Π_μ/Π_e = 9×p₀- Prime autogeneration: idx(p_k) - idx(p_{k-1}) ≈ p_{k-2}- Recovery of muon-electron mass ratio from vacuum geometry- Rigorous statistical analysis: P_chance < 10^-90- Dimensional quantum number classification table- Enhanced discussion of falsifiability This version strengthens the original framework withthree new major results not present in v1.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-11-20
DOI
https://doi.org/10.5281/zenodo.17653498
Primary Topic
Advanced Mathematical Theories and Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

Hierarchical Prime Helices and the Emergence of Physical Constants: A Structured Vacuum Theory Framework

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
article

Hierarchical Prime Helices and the Emergence of Physical Constants: A Structured Vacuum Theory Framework

article en

Abstract

VERSION 2 - December 2025 MAJOR ADDITIONS:- Geometric reconnections: Π_π/Π_α = π×p₁, Π_μ/Π_e = 9×p₀- Prime autogeneration: idx(p_k) - idx(p_{k-1}) ≈ p_{k-2}- Recovery of muon-electron mass ratio from vacuum geometry- Rigorous statistical analysis: P_chance < 10^-90- Dimensional quantum number classification table- Enhanced discussion of falsifiability This version strengthens the original framework withthree new major results not present in v1.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 42%
Advanced Mathematical Theories and Applications
DOIOpen Access PDFOpenAlex
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Hierarchical Prime Helices and the Emergence of Physical Constants: A Structured Vacuum Theory Framework · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS