Emergence of Four Dimensions in the Causal Set Approach to Discrete Quantum Gravity
Abstract
One could begin a study like the present one by simply postulating that our universe is fourdimensional. There are ample reasons for doing this. Experience, observation and experiment all point to the fact that we inhabit a fourdimensional universe. Another approach would be to show that fourdimensions arise naturally from a reasonable model of the universe or multiverse. After reviewing the causal set approach to discrete quantum gravity in Section~1, we shall discuss the emergence of fourdimensions in Section~2. We shall see that certain patterns of four arise that suggest the introduction of a 4dimensional discrete manifold. In the later sections we shall discuss some consequences of this introduced framework. In particular, we will show that quantum amplitudes can be employed to describe a multiverse dynamics. Moreover, a natural unitary operator together with energy, position and momentum operators will be introduced and their properties studied.
 Publication:

arXiv eprints
 Pub Date:
 February 2015
 arXiv:
 arXiv:1502.02198
 Bibcode:
 2015arXiv150202198G
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 25 pages