The Hayward Metric from Vacuum Coherence: A Resonance-Based Derivation within RCFT and FCI
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2025
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| _version_ | 1866902243769319424 |
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| author | Fernandes, Ricardo Miguel Machado |
| author_facet | Fernandes, Ricardo Miguel Machado |
| contents | <p>This work presents a resonance-based derivation of a metric that was later identified as the Hayward regular black hole solution. The derivation emerged independently within the framework of the <em>Resonant Coherence Field Theory</em> (RCFT), without prior knowledge of Hayward’s 2006 model. The metric was not chosen phenomenologically but arose organically from first principles describing vacuum coherence and resonant confinement. Only after completing the derivation was it recognized that the resulting form exactly matches Hayward’s regular black hole metric. This accidental convergence provides strong independent validation: a theoretical geometry predicted from vacuum resonance principles perfectly reproduces a known regular solution from general relativity. Within the broader RCFT and <em>Fundamental Conservation of Information</em> (FCI) frameworks, the correspondence offers a microphysical interpretation of the Hayward parameters and supports information-preserving gravitational collapse models.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17316705 |
| institution | Zenodo |
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| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Hayward Metric from Vacuum Coherence: A Resonance-Based Derivation within RCFT and FCI Fernandes, Ricardo Miguel Machado <p>This work presents a resonance-based derivation of a metric that was later identified as the Hayward regular black hole solution. The derivation emerged independently within the framework of the <em>Resonant Coherence Field Theory</em> (RCFT), without prior knowledge of Hayward’s 2006 model. The metric was not chosen phenomenologically but arose organically from first principles describing vacuum coherence and resonant confinement. Only after completing the derivation was it recognized that the resulting form exactly matches Hayward’s regular black hole metric. This accidental convergence provides strong independent validation: a theoretical geometry predicted from vacuum resonance principles perfectly reproduces a known regular solution from general relativity. Within the broader RCFT and <em>Fundamental Conservation of Information</em> (FCI) frameworks, the correspondence offers a microphysical interpretation of the Hayward parameters and supports information-preserving gravitational collapse models.</p> |
| title | The Hayward Metric from Vacuum Coherence: A Resonance-Based Derivation within RCFT and FCI |
| url | https://doi.org/10.5281/zenodo.17316705 |