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ZENODO
Preprint . 2025
License: CC BY
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Preprint . 2025
License: CC BY
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ZENODO
Preprint . 2025
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2025
License: CC BY
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The Hayward Metric from Vacuum Coherence: A Resonance-Based Derivation within RCFT and FCI

Authors: Fernandes, Ricardo Miguel Machado;

The Hayward Metric from Vacuum Coherence: A Resonance-Based Derivation within RCFT and FCI

Abstract

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 Resonant Coherence Field Theory (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 Fundamental Conservation of Information (FCI) frameworks, the correspondence offers a microphysical interpretation of the Hayward parameters and supports information-preserving gravitational collapse models.

Keywords

Resonant confinement, Vacuum coherence, Hayward metric, Singularity resolution, Containment field theory, Quantum gravity, Coherent vacuum dynamics, Information conservation, Regular black holes, Resonant Coherence Field Theory (RCFT), Fundamental Conservation of Information (FCI)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green