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arXiv · 2605.31012

Dirac-Field Black Hole Entropy in \(f(Q)\) Gravity from the RVB Residue Method

Wen-Xiang Chen
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Abstract

We compute the entropy of a Dirac quantum field near a static, spherically symmetric black hole in (f(Q)) gravity by combining the residue-based Robson--Villari--Biancalana method with the thin-film state-counting approach. The RVB prescription introduces a residue correction to the Hawking temperature, while the Dirac field entropy is obtained from the near-horizon WKB mode density and fermionic free energy. For an (f(Q))-deformed metric, we derive the Hamilton--Jacobi equation, radial momentum, mode number, and entropy at the residue-corrected temperature. The result shows that the Dirac-field entropy remains proportional to the horizon area after regularization, but its coefficient is modified by a cubic RVB temperature factor. An explicit expression is obtained for the quadratic model (f(Q)=Q+\alpha Q^{2}).

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Wen-Xiang Chen. 2026-05-29. Dirac-Field Black Hole Entropy in \(f(Q)\) Gravity from the RVB Residue Method. https://arxiv.org/abs/2605.31012

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