Quantum-Corrected Entropy Bounds on Black Hole Merger Efficiency

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.

References in corpus (7)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• Binary Black Hole Population Properties Inferred from the First and Second Observing Runs of Advanced LIGO and Advanced Virgo
• The Generalized Uncertainty Principle and Black Hole Remnants
• Discreteness of Space from the Generalized Uncertainty Principle
• When conceptual worlds collide: The GUP and the BH entropy
• Quantum Gravity and Recovery of Information in Black Hole Evaporation
• Black Hole Entropy and the Modified Uncertainty Principle: A heuristic analysis