Albion College

Mathematics and Computer Science

Mathematics and Computer Science

COLLOQUIUM

Comparison of Quantization Results from Two-dimensional Cosmologies Quantized with Different Factor Orderings

Christopher Creighton

During the Big Bang, a point of infinite curvature of spacetime, the basic rules for how the universe behaves break down. While general relativity accurately describes the universe and the effects of gravity on the larger scale, it struggles with points of singularity such as the Big Bang. It needs to be infused with quantum mechanics, the rules of behavior for the very small, to explain the likes of the Big Bang and black holes. With quantum mechanics applied to general relativity, there arise ambiguities in the ordering of factors in the definitive equation for the state of the universe. To find out the proper ordering of factors, we turn to a computer model of the universe that has arguably made a good choice using a completely different methodology, simplified to the toy model of one space and one time dimension. We do this by comparing our varied possibilities to the computer model to try and ascertain hints to how our universe behaves in the realm of the very small.