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

Year: 2025

Type: article

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.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.15242265

Author: Parry, dean Alan

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W6893166823

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