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arXiv · 1411.5675

Discreteness of time in the evolution of the universe

Mir Faizal·Ahmed Farag Ali·Saurya Das
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Abstract

In this paper, we will first derive the Wheeler-DeWitt equation for the generalized geometry which occurs in M-theory. Then we will observe that M2-branes act as probes for this generalized geometry, and as M2-branes have an extended structure, their extended structure will limits the resolution to which this generalized geometry can be defined. We will demonstrate that this will deform the Wheeler-DeWitt equation for the generalized geometry. We analyze such a deformed Wheeler-DeWitt equation in the minisuperspace approximation and observe that this deformation can be used as a solution to the problem of time. This is because this deformation gives rise to time crystals in our universe due to the spontaneous breaking of time re-parametrization invariance.

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Mir Faizal, Ahmed Farag Ali, Saurya Das. 2017-02-28. Discreteness of time in the evolution of the universe. https://doi.org/10.1142/s0217751x1750049x

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