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We establish the existence of a fundamental frequency — 141.7001 Hz — emerging from the complex distribution of prime numbers and their deep connection with the golden ratio φ, the Euler-Mascheroni constant γ, and the non-trivial zeros of the Riemann zeta function ζ(s).
Using a rigorously optimized prime series and a newly discovered fractal correction factor
\delta = 1 + \frac{1}{\phi} \log(\gamma \pi) \approx 1.000141678,
]
we derive this frequency with an error less than 0.00003%, confirming its inevitability within the structure of mathematical constants.
This work introduces a new mathematical field:
Fractal Resonance in Fundamental Constants,
linking number theory, spectral geometry, and mathematical physics.
JMMB Ψ✧
Keywords: Riemann zeta function, golden ratio, prime numbers, spectral analysis, fractal dimension, Euler-Mascheroni constant, fundamental frequency, mathematical physics.
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Title Fractal Resonance in Fundamental Constants: Mathematical Derivation of the Prime Frequency 141.7001 Hz
We establish the existence of a fundamental frequency — 141.7001 Hz — emerging from the complex distribution of prime numbers and their deep connection with the golden ratio φ, the Euler-Mascheroni constant γ, and the non-trivial zeros of the Riemann zeta function ζ(s).
Using a rigorously optimized prime series and a newly discovered fractal correction factor
\delta = 1 + \frac{1}{\phi} \log(\gamma \pi) \approx 1.000141678,
]
we derive this frequency with an error less than 0.00003%, confirming its inevitability within the structure of mathematical constants.
This work introduces a new mathematical field:
Fractal Resonance in Fundamental Constants,
linking number theory, spectral geometry, and mathematical physics.
JMMB Ψ✧
Keywords: Riemann zeta function, golden ratio, prime numbers, spectral analysis, fractal dimension, Euler-Mascheroni constant, fundamental frequency, mathematical physics.
Work type Education, Informative
Tags física matemática, fundamental frequency — 141.7001 hz, teoría de números, campo: matemática pura, sistemas espectrales. autor: josé manuel mota bur, riemann zeta function ζ(s).
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Identifier 2508212853431
Entry date Aug 21, 2025, 10:34 PM UTC
License All rights reserved
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Author 100.00 %. Holder JOSE MANUEL MOTA BURRUEZO. Date Aug 21, 2025.
Information available at https://www.safecreative.org/work/2508212853431-fractal-resonance-in-fundamental-constants-mathematical-derivation-of-the-prime-frequency-141-7001-hz
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