The Mirror Wave Function of Prime Numbers: When Primes Infuse the Fundamental Structure of Life
Abstract
While exploring wave-like patterns tied to prime numbers, we hypothesize that the multifractal set Fq, defined by Fourier peaks at k ≡ p−1 mod q, acts as a quantum blueprint for DNA, encoding prime-length motifs (3, 5, 7, 11), multifractality (D ≈ 0.4 − 0.7), and a 3D helical geometry. We test this using Fourier analysis on human chromosome 1 (250M bases), simulated Raman spectroscopy, and an evolutionary model. Results confirm these signatures, suggesting DNA adapts a universal quantum structure to biological constraints.
Fields of Study & Subjects
Fractal and DNA sequence analysis
Advanced Mathematical Theories and Applications
p-Adic Analysis and Mathematical Physics
Publication details
- Publication date
- 1 January 2026
- Language
- EN
- Document type
- Preprint