RESOLUTION OF THE TWIN PRIME CONJECTURE BY TOPOLOGICAL ARCHITECTURE AND SATURATION FLOW (TRUE FRAMEWORK

This work presents the definitive resolution of the twin prime conjecture. By introducing the TRUE framework (Tension, Crispation, Relaxation), we transpose the discrete combinatorial problem into the phase space of a two-dimensional dynamical system. We demonstrate that the "parity problem", the historical lock of sieve theory, is broken by a property of geometric hyperbolicity. The flow of integers, confined in a diagonal correlation tube, is mathematically constrained by the Conley index to be absorbed by an infinity of stable topological sinks representing the pure prime pairs.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-30
DOI
https://doi.org/10.5281/zenodo.20453400
Primary Topic
Mathematical Dynamics and Fractals
Type
preprint
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preprint

RESOLUTION OF THE TWIN PRIME CONJECTURE BY TOPOLOGICAL ARCHITECTURE AND SATURATION FLOW (TRUE FRAMEWORK

Michel Febba
Zenodo (CERN European Organization for Nuclear Research)
Mathematical Dynamics and Fractals
preprint

RESOLUTION OF THE TWIN PRIME CONJECTURE BY TOPOLOGICAL ARCHITECTURE AND SATURATION FLOW (TRUE FRAMEWORK

Michel Febba
preprint en

Abstract

This work presents the definitive resolution of the twin prime conjecture. By introducing the TRUE framework (Tension, Crispation, Relaxation), we transpose the discrete combinatorial problem into the phase space of a two-dimensional dynamical system. We demonstrate that the "parity problem", the historical lock of sieve theory, is broken by a property of geometric hyperbolicity. The flow of integers, confined in a diagonal correlation tube, is mathematically constrained by the Conley index to be absorbed by an infinity of stable topological sinks representing the pure prime pairs.

Zenodo (CERN European Organization for Nuclear Research)
Sustainable cities and communities
Mathematical Dynamics and Fractals
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