Dual Resolution of Causal Set Theory Through ENSO Framework: Mathematical Certainty and Physical Realization
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2025
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| _version_ | 1866902085902008320 |
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| author | Needham, Eric |
| author_facet | Needham, Eric |
| contents | <p>This paper presents a dual resolution of Causal Set Theory (CST) through the ENSO (Emergent Non-Locality Structural Order) Framework. Using two complementary approaches—a physically grounded vacuum fluctuation model based on the Carol Equation, and a mathematically inevitable scaling law from the π/φπ transition—we resolve the four central challenges in CST: scale ambiguity, Lorentz invariance recovery, coupling to matter and vacuum energy, and the origin of the arrow of time. Both approaches converge on the exact same emergence interval:</p> <p>Δτₙ = (1 / E₀) · log_φ(πⁿ)</p> <p>where E₀ is defined by the Carol Equation. This convergence establishes CST not just as a speculative model, but as a physically realized, mathematically certain framework for quantum gravity. With predictive power, observational consistency, and rigorous proof structure, CST through ENSO is now a complete theory with implications for cosmology, quantum field theory, and the structure of time itself.</p> <p>The ENSO Team<br>Contact: Eric Needham — <a rel="noopener">ensotheory1@gmail.com</a></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_15098860 |
| institution | Zenodo |
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| publishDate | 2025 |
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| spellingShingle | Dual Resolution of Causal Set Theory Through ENSO Framework: Mathematical Certainty and Physical Realization Needham, Eric Causal Set Theory ENSO Framework Quantum Gravity Carol Equation NSC π/φπ Scaling Lorentz Invariance Arrow of Time Vacuum Fluctuations Emergent Time Harmonic Geometry Fundamental Constants Discrete Spacetime Mathematical Physics Quantum Field Theory <p>This paper presents a dual resolution of Causal Set Theory (CST) through the ENSO (Emergent Non-Locality Structural Order) Framework. Using two complementary approaches—a physically grounded vacuum fluctuation model based on the Carol Equation, and a mathematically inevitable scaling law from the π/φπ transition—we resolve the four central challenges in CST: scale ambiguity, Lorentz invariance recovery, coupling to matter and vacuum energy, and the origin of the arrow of time. Both approaches converge on the exact same emergence interval:</p> <p>Δτₙ = (1 / E₀) · log_φ(πⁿ)</p> <p>where E₀ is defined by the Carol Equation. This convergence establishes CST not just as a speculative model, but as a physically realized, mathematically certain framework for quantum gravity. With predictive power, observational consistency, and rigorous proof structure, CST through ENSO is now a complete theory with implications for cosmology, quantum field theory, and the structure of time itself.</p> <p>The ENSO Team<br>Contact: Eric Needham — <a rel="noopener">ensotheory1@gmail.com</a></p> |
| title | Dual Resolution of Causal Set Theory Through ENSO Framework: Mathematical Certainty and Physical Realization |
| topic | Causal Set Theory ENSO Framework Quantum Gravity Carol Equation NSC π/φπ Scaling Lorentz Invariance Arrow of Time Vacuum Fluctuations Emergent Time Harmonic Geometry Fundamental Constants Discrete Spacetime Mathematical Physics Quantum Field Theory |
| url | https://doi.org/10.5281/zenodo.15098860 |