The Frequency-Locked Structure of the Zeta Field
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| Formato: | Recurso digital |
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2025
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| _version_ | 1866901782816358400 |
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| author | Johnson, Carolina |
| author_facet | Johnson, Carolina |
| contents | <p>This paper presents a unified structural resolution of the <strong>Riemann Hypothesis</strong> by demonstrating that both the trivial and nontrivial zeros of the zeta function are dictated by internal constraints of the function itself. Using two complementary frameworks, Stratified Axiomatics and Harmonic Resonance Logic, it shows that the critical line at Re(s) = 1/2 is not conjectural, but emerges as a necessary symmetry boundary. Trivial zeros are interpreted as anti-phase harmonic nulls, and nontrivial zeros as phase-locked cancellation nodes. This approach reframes the zeta function not as a probabilistic scan of primes, but as a frequency-locked field whose structure enforces its zero geometry.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18257210 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Frequency-Locked Structure of the Zeta Field Johnson, Carolina <p>This paper presents a unified structural resolution of the <strong>Riemann Hypothesis</strong> by demonstrating that both the trivial and nontrivial zeros of the zeta function are dictated by internal constraints of the function itself. Using two complementary frameworks, Stratified Axiomatics and Harmonic Resonance Logic, it shows that the critical line at Re(s) = 1/2 is not conjectural, but emerges as a necessary symmetry boundary. Trivial zeros are interpreted as anti-phase harmonic nulls, and nontrivial zeros as phase-locked cancellation nodes. This approach reframes the zeta function not as a probabilistic scan of primes, but as a frequency-locked field whose structure enforces its zero geometry.</p> |
| title | The Frequency-Locked Structure of the Zeta Field |
| url | https://doi.org/10.5281/zenodo.18257210 |