The Schwarzschild black hole in f(R) can exist superradiation phenomenon

Abstract

This paper explores the mechanism by which Schwarzschild black holes may exhibit superradiance when Bell's theorem is considered a fundamental principle. By integrating quantum field theory with general relativity under the constraints imposed by Bell's inequalities, we develop a comprehensive model that extends the classical understanding of black hole dynamics. The study further draws parallels between the superradiant phenomena in Schwarzschild black holes and those observed in \(f(R)\) gravity theories. Our findings suggest a profound mathematical and conceptual linkage between Bell's theorem and \(f(R)\) gravity, particularly in the manifestation of irreducible singularities and their associated residues. This work provides a novel framework bridging quantum non-locality with modified theories of gravity, offering potential insights into the quantum nature of spacetime and black hole physics.