Black Hole Complementary Principle and The Noncommutative Membrane

TL;DR

This paper explores the noncommutative membrane concept in black holes, extending previous results from Schwarzschild to Kerr and conjecturing noncommutativity on the stretched membrane of Kerr-Newman black holes.

Contribution

It introduces the noncommutative membrane framework for various black hole types and proposes a conjecture for Kerr-Newman black holes, expanding the theoretical understanding.

Findings

Noncommutative membrane found for Schwarzschild black holes

Extended to Kerr black holes with similar results

Conjecture proposed for Kerr-Newman black holes' noncommutativity

Abstract

In the spirit of Black Hole Complementary Principle, we have found the noncommutative membrane of Scharzchild Black Holes. In this paper we extend our results to Kerr Black Hole and see the same story. Also we make a conjecture that spacetimes is noncommutative on the stretched membrane of the more general Kerr-Newman Black Hole.