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2025
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| Online Access: | https://doi.org/10.5281/zenodo.15306863 |
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| author | HERNANDEZ RIVERA, JUAN ALBERTO |
| author_facet | HERNANDEZ RIVERA, JUAN ALBERTO |
| contents | <p>Summary of the Coherence Evolution Model (CEM)</p> <p> </p> <p>This is my proposed framework—physically grounded and mathematically rigorous—for explaining how prime numbers shape coherence in quantum systems. I call it the Coherence Evolution Model (CEM). At its heart is the idea that primes are not just mathematical curiosities—they are topological invariants, structuring quantum coherence and suppressing entropy through modular symmetries that composites simply can’t access.</p> <p> </p> <p>I argue that:</p> <p> </p> <p>1. Primes stabilize coherence by acting as topological quantum numbers—think of prime-modulated Chern numbers yielding edge states that resist backscattering.</p> <p> </p> <p> </p> <p>2. The golden ratio () emerges naturally from prime-packed spacetime geometry, with fractal dimensions matching cosmic microwave background (CMB) analyses.</p> <p> </p> <p> </p> <p>3. The Riemann zeta function is physical, functioning as a spectral filter in prime-driven SYK models—its zeros align with quantum chaos behavior and even map to excess CMB multipole power.</p> <p> </p> <p> </p> <p>4. Quantum fields are modified by prime harmonics, altering propagators and controlling UV/IR mixing via arithmetic structures.</p> <p> </p> <p> </p> <p>5. In condensed matter, superconductivity gets a prime boost—electron pairing is mediated by “prime phasons” with a predicted enhancement to critical temperature derived from harmonic sums.</p> <p> </p> <p> </p> <p>6. I’ve run Bayesian tests against Planck CMB data—CEM beats CDM decisively (), and robustness holds under noise and masking changes.</p> <p> </p> <p> </p> <p>7. The model makes testable predictions—notably, specific ARPES gap nodes and observable power anomalies at prime multipoles in the CMB.</p> <p> </p> <p> </p> <p>8. It explains why composites decohere, and how twin primes preserve coherence, leading to observable effects in cosmic structure and condensed systems.</p> <p> </p> <p> </p> <p> </p> <p>Everything is up for scrutiny. </p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_15306863 |
| institution | Zenodo |
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| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | --The Coherence Evolution Model (CEM)- A Physically Grounded Framework-- HERNANDEZ RIVERA, JUAN ALBERTO <p>Summary of the Coherence Evolution Model (CEM)</p> <p> </p> <p>This is my proposed framework—physically grounded and mathematically rigorous—for explaining how prime numbers shape coherence in quantum systems. I call it the Coherence Evolution Model (CEM). At its heart is the idea that primes are not just mathematical curiosities—they are topological invariants, structuring quantum coherence and suppressing entropy through modular symmetries that composites simply can’t access.</p> <p> </p> <p>I argue that:</p> <p> </p> <p>1. Primes stabilize coherence by acting as topological quantum numbers—think of prime-modulated Chern numbers yielding edge states that resist backscattering.</p> <p> </p> <p> </p> <p>2. The golden ratio () emerges naturally from prime-packed spacetime geometry, with fractal dimensions matching cosmic microwave background (CMB) analyses.</p> <p> </p> <p> </p> <p>3. The Riemann zeta function is physical, functioning as a spectral filter in prime-driven SYK models—its zeros align with quantum chaos behavior and even map to excess CMB multipole power.</p> <p> </p> <p> </p> <p>4. Quantum fields are modified by prime harmonics, altering propagators and controlling UV/IR mixing via arithmetic structures.</p> <p> </p> <p> </p> <p>5. In condensed matter, superconductivity gets a prime boost—electron pairing is mediated by “prime phasons” with a predicted enhancement to critical temperature derived from harmonic sums.</p> <p> </p> <p> </p> <p>6. I’ve run Bayesian tests against Planck CMB data—CEM beats CDM decisively (), and robustness holds under noise and masking changes.</p> <p> </p> <p> </p> <p>7. The model makes testable predictions—notably, specific ARPES gap nodes and observable power anomalies at prime multipoles in the CMB.</p> <p> </p> <p> </p> <p>8. It explains why composites decohere, and how twin primes preserve coherence, leading to observable effects in cosmic structure and condensed systems.</p> <p> </p> <p> </p> <p> </p> <p>Everything is up for scrutiny. </p> |
| title | --The Coherence Evolution Model (CEM)- A Physically Grounded Framework-- |
| url | https://doi.org/10.5281/zenodo.15306863 |