Noncommutative Quantum Cosmology
H. Garcia-Compean, O. Obregon, C. Ramirez
TL;DR
This paper introduces a noncommutative quantum cosmology model using minisuperspace deformation, finds exact solutions for Kantowski-Sachs metric, and reveals new quantum states with potential tunneling phenomena.
Contribution
It presents a novel noncommutative quantum cosmology framework and derives exact wave functions for the Kantowski-Sachs metric, highlighting new quantum states and tunneling possibilities.
Findings
Exact wave function for Kantowski-Sachs metric obtained
New quantum states emerge that compete in probability
Potential tunneling process among quantum states suggested
Abstract
We propose a model for noncommutative quantum cosmology by means of a deformation of minisuperspace. For the Kantowski-Sachs metric we are able to find the exact wave function. We construct wave packets and show that new quantum states that ``compete'' to be the most probable state appear, in clear contrast with the commutative case. A tunneling process could be possible among these states.
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