The Recursive Prime Field Theory: A Harmonic Foundation for Number Structure

The Recursive Prime Field Theory (RPFT) is a bold and imaginative proposal for understanding the distribution and structure of prime numbers through recursive harmonic field dynamics. It introduces the idea that prime behavior may not be axiomatic, but instead emergent from spectral collapse, modular resonance, and fractal energy geometry. This preprint explores the alignment between recursive field behavior and known number-theoretic phenomena including the Riemann Hypothesis, twin primes, prime gaps, etc.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-04-18
DOI
https://doi.org/10.5281/zenodo.15242265
Primary Topic
Analytic Number Theory Research
Type
article
Field-Weighted Citation Impact
0.00
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article

The Recursive Prime Field Theory: A Harmonic Foundation for Number Structure

Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
article

The Recursive Prime Field Theory: A Harmonic Foundation for Number Structure

article en

Abstract

The Recursive Prime Field Theory (RPFT) is a bold and imaginative proposal for understanding the distribution and structure of prime numbers through recursive harmonic field dynamics. It introduces the idea that prime behavior may not be axiomatic, but instead emergent from spectral collapse, modular resonance, and fractal energy geometry. This preprint explores the alignment between recursive field behavior and known number-theoretic phenomena including the Riemann Hypothesis, twin primes, prime gaps, etc.

Zenodo (CERN European Organization for Nuclear Research)
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Analytic Number Theory Research
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The Recursive Prime Field Theory: A Harmonic Foundation for Number Structure · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS