A Beautiful Proof of the Riemann Hypothesis
Year: 2025
Type: article
Abstract: This work presents a proof of the Riemann Hypothesis based on a new paradigm we term ”Harmonic Coherence.” Starting from a single axiom, the Principle of Structural Stability (PSS), it is demonstrated that the distribution of prime numbers, although locally complex, is the result of a global harmonic system. We will prove that this harmony is generated by a superposition of waves, where each wave corresponds to a non-trivial zero of the Riemann Zeta Function. These zeros act as ”receivers” that synchronize the structure. The proof culminates by demonstrating through contradiction that the existence of a single ”receiver” off the critical line Re(s) = 1/2 would imply a chaotic collapse of the structure of the primes, thereby violating the fundamental axiom. It is concluded, therefore, that the Riemann Hypothesis is a necessary condition for the observed stability of the universe of numbers
Author: quezada, manuel
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6912079396
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