Superradiance in Schwarzschild Black Holes under Bell's Theorem Constraints and Its Connection to $f(R)$ Gravity

This paper explores the mechanism by which Schwarzschild black holes may exhibit superradiance when Bell's theorem is considered as 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.