The Prime Wave Function: Mathematical Relationships Spanning Multiple Physical Domains

The Prime Wave Function discovery reveals that prime numbers encode harmonic structures visible across multiple physics domains with extraordinary precision. Using the mathematical relationship ω = 2π/log(p), this framework predicts particle mass ratios (0.003% error), fundamental constants like the golden ratio (0.043% error), and crystal lattice parameters (0.032% error) across six independent physics areas. Rigorous statistical analysis of 82,560+ comparisons confirms significance levels p < 10^-12, establishing the first mathematical bridge between prime number theory and experimental physics through harmonic analysis. This discovery does not generate primes but identifies which primes participate in physical resonance structures, opening new frontiers in mathematical physics.

Publication Details

Journal
Open Science Framework
Published
2025-01-01
DOI
https://doi.org/10.17605/osf.io/dczb7
Primary Topic
Advanced Mathematical Theories and Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

The Prime Wave Function: Mathematical Relationships Spanning Multiple Physical Domains

Open Science Framework
Advanced Mathematical Theories and Applications
article

The Prime Wave Function: Mathematical Relationships Spanning Multiple Physical Domains

article en

Abstract

The Prime Wave Function discovery reveals that prime numbers encode harmonic structures visible across multiple physics domains with extraordinary precision. Using the mathematical relationship ω = 2π/log(p), this framework predicts particle mass ratios (0.003% error), fundamental constants like the golden ratio (0.043% error), and crystal lattice parameters (0.032% error) across six independent physics areas. Rigorous statistical analysis of 82,560+ comparisons confirms significance levels p < 10^-12, establishing the first mathematical bridge between prime number theory and experimental physics through harmonic analysis. This discovery does not generate primes but identifies which primes participate in physical resonance structures, opening new frontiers in mathematical physics.

Open Science Framework
Openalex Percentile: Top 56%
Advanced Mathematical Theories and Applications
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