Resonant Reconstruction of the Riemann Hypothesis via φ-Damped Harmonic Projection

This paper proposes a novel φ-damped resonant function $ζToE(t)=sin⁡(ln⁡t)⋅e−φt\zeta_{\mathrm{ToE}}(t) = \sin(\ln t) \cdot e^{-\varphi t}ζToE(t)=sin(lnt)⋅e−φt$ which aligns with the non-trivial zeros of the Riemann zeta function.Derived from the Theory of Everything (ToE) model, the function reflects logarithmic resonance and exponential information decay.Numerical comparison shows a strong correlation between the zero-crossings of the φ-damped projection and known ζ(s) zeros.This suggests that prime number distribution may be governed by deeper harmonic structures, providing a potential path toward resolving the Riemann Hypothesis.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-07-12
DOI
https://doi.org/10.5281/zenodo.15870927
Primary Topic
Biofield Effects and Biophysics
Type
article
Field-Weighted Citation Impact
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article

Resonant Reconstruction of the Riemann Hypothesis via φ-Damped Harmonic Projection

Zenodo (CERN European Organization for Nuclear Research)
Biofield Effects and Biophysics
article

Resonant Reconstruction of the Riemann Hypothesis via φ-Damped Harmonic Projection

article en

Abstract

This paper proposes a novel φ-damped resonant function $ζToE(t)=sin⁡(ln⁡t)⋅e−φt\zeta_{\mathrm{ToE}}(t) = \sin(\ln t) \cdot e^{-\varphi t}ζToE(t)=sin(lnt)⋅e−φt$ which aligns with the non-trivial zeros of the Riemann zeta function.Derived from the Theory of Everything (ToE) model, the function reflects logarithmic resonance and exponential information decay.Numerical comparison shows a strong correlation between the zero-crossings of the φ-damped projection and known ζ(s) zeros.This suggests that prime number distribution may be governed by deeper harmonic structures, providing a potential path toward resolving the Riemann Hypothesis.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 45%
Biofield Effects and Biophysics
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Resonant Reconstruction of the Riemann Hypothesis via φ-Damped Harmonic Projection · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS