Can semiclassical Particle Creation Justified dM/dt=+HM? An Adiabatic Estimate for the CGR-Embedded Black Hole

Q: What does this research mean for the field?

The field equations for the Kerr-Newman-de Sitter Embedding in Cosmological General Relativity admit an unresolved ambiguity regarding mass evolution (dM/dt=-2HM versus dM/dt=+HM) that lacks an internal selection criterion. Novelty: ClaimNovelty.INCREMENTAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

Sangwha Yi

doi:10.5281/zenodo.22726920

September 12, 2026Open Access

Can semiclassical Particle Creation Justified dM/dt=+HM? An Adiabatic Estimate for the CGR-Embedded Black Hole

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Key Points

To determine whether semiclassical particle creation can resolve field equation ambiguities and justify a positive mass rate of dM/dt = +HM for black holes embedded in Cosmological General Relativity.
Formulated an adiabatic estimate within the framework of Kerr-Newman-de Sitter embeddings in Cosmological General Relativity (CGR).
Analyzed the selection criteria between competing mass evolution rates admitted by the underlying gravitational field equations.
Confirmed that the CGR field equations intrinsically permit two conflicting mass evolution rates: dM/dt = -2HM and dM/dt = +HM.
Established that internal criteria within classical Cosmological General Relativity are insufficient to distinguish between the two evolutionary branches.

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Implication

Theoretical analysis evaluates mass evolution rates in cosmological general relativity black holes, highlighting ambiguities between competing field equation solutions.

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Sangwha Yi (2026) studied this question.

synapsesocial.com/papers/6aa7b3df0926e14a848b3208 https://doi.org/10.5281/zenodo.22726920

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Can semiclassical Particle Creation Justified dM/dt=+HM? An Adiabatic Estimate for the CGR-Embedded Black Hole

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Can semiclassical Particle Creation Justified dM/dt=+HM? An Adiabatic Estimate for the CGR-Embedded Black Hole

Key Points

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