Quantum Gravity and String Theory


The Wave Function of the Universe near the Big-Bang Singularity and the Generalized Uncertainty Principle

Authors: Tatsuyuki Sugawa

We investigate the Friedmann equations and the Wheeler-DeWitt equations in three dimensional pure gravity under the Generalized Uncertainty Principle (GUP) effects. In addition we study the wave functions near the Big-Bang singularity as the solutions of the deformed Wheeler-DeWitt equation in momentum space. The resulting wave functions are represented as the Mathieu functions. The GUP is considered in the context of the Snyder non-commutative space.

Comments: 19 Pages.

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Submission history

[v1] 2019-03-14 19:30:59

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