Date of Completion
5-13-2025
Degree Type
Honors Thesis
Discipline
Physics (PHYS)
First Advisor
Dr. Jonas Mureika
Abstract
The current understanding of gravity is shaped largely by Albert Einstein’s theory of General Relativity. This theory is highly successful at predicting phenomenon on macroscopic scales, but it faces unphysical singularities at quantum scales. This thesis will explore the possibility of combining General Relativity with quantum mechanics through the Extended Uncertainty Principle (EUP), which provides a new, fundamental length scale correction to the Heisenberg Uncertainty Principle. This allows for quantum gravity effects at macroscopic scales, which will be examined through Kerr black holes with event horizons on the order of . These black holes are rotating and electrically neutral, and they are the most common type of black holes in our universe. To test the EUP on Kerr black holes, this thesis will examine the quasi-normal modes produced by gravitational wave perturbations predicted by the EUP. This method will include Mathematica code based on the Leaver method to calculate quasi-normal modes from the EUP modified Kerr black holes. This thesis aims to prove coherence between the EUP corrected quasi-normal modes for Kerr black holes with general relativity predictions for Kerr black hole mergers.
Recommended Citation
Hoeger, Ava and Mureika, Jonas, "Quasi-Normal Modes of Extended Uncertainty Principle Kerr Black Holes" (2025). Honors Thesis. 582.
https://digitalcommons.lmu.edu/honors-thesis/582
