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arXiv · 2608.10477

Quantum-Corrected Entropy Bounds on Black Hole Merger Efficiency

Jiswin Varghese
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Abstract

We examine the entropy balance of black hole mergers in the presence of quantum gravity corrections described by the Generalized Uncertainty Principle (GUP). Focusing on the coalescence of two non-spinning Schwarzschild black holes with unequal masses, we analyze the thermodynamic evolution from the initial binary system to the final merger remnant, explicitly accounting for energy loss through gravitational-wave emission. Using a logarithmically corrected entropy motivated by a quadratic GUP, we derive a generalized entropy change as a function of the gravitational-wave efficiency and the mass ratio of the merging components. The classical area theorem is recovered in the appropriate limit, while the GUP correction introduces a quantum-modified entropy bound that constrains the maximum allowed gravitational-wave energy emission. This bound is most restrictive for nearly equal-mass mergers, indicating an enhanced sensitivity of symmetric systems to quantum gravity effects.

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Jiswin Varghese. 2026-08-11. Quantum-Corrected Entropy Bounds on Black Hole Merger Efficiency. https://doi.org/10.22201/ia.30618649e.2026.62.02.7526

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