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arXiv · 2011.12442

Infrared Generalized Uncertainty Principles Applied To LRS Bianchi I Quantum Cosmology

Daniel Berkowitz
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Abstract

We propose two higher order generalized uncertainty principles(GUPs) which predict a minimum uncertainty in momentum and apply the deformations that they entail of the Heisenberg algebra to one half of the phase space of the LRS Bianchi I models. After numerically solving the resultant Wheeler Dewitt equations we analyze our solutions and provide evidence that potential IR effects of quantum gravity could have played a role in selecting an overwhelmingly likely geometrical configuration that a quantum universe can possess. In addition we propose a GUP which predicts both a minimum uncertainty in momentum and a maximal measurable length scale which can be interpreted as a fixed maximum cosmological horizon. The results contained in this work provide further incentives to study what effects higher order GUP(s) have on quantum cosmology so we can obtain a better understanding of how quantum gravity could have impacted cosmological evolution.

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Daniel Berkowitz. 2020-11-24. Infrared Generalized Uncertainty Principles Applied To LRS Bianchi I Quantum Cosmology. https://arxiv.org/abs/2011.12442

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