Discreteness of time in the evolution of the universe

被引：10

作者：

Faizal, Mir ^{[1
]}

Ali, Ahmed Farag ^{[2
,3
]}

Das, Saurya ^{[4
]}

机构：

[1] Univ Waterloo, Dept Phys & Astron, Waterloo, ON N2L 3G1, Canada

[2] Zewail City Sci & Technol, Ctr Fundamental Phys, Giza 12588, Egypt

[3] Benha Univ, Dept Phys, Fac Sci, Banha 13518, Egypt

[4] Univ Lethbridge, Theoret Phys Grp, Dept Phys & Astron, 4401 Univ Dr, Lethbridge, AB T1K 3M4, Canada

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2017年 / 32卷 / 10期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Wheeler-DeWitt equation; generalized geometry; problem of time; M-theory; GENERALIZED UNCERTAINTY PRINCIPLE; 3RD QUANTIZATION; BLACK-HOLES; ACCELERATING UNIVERSE; QUANTUM-GRAVITY; DUALITY; SPACE; SINGULARITY; SYMMETRIES; SUPERNOVAE;

D O I：

10.1142/S0217751X1750049X

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

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 reparametrization invariance.

引用

页数：19

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