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Article Dans Une Revue International Journal of Modern Physics A Année : 2018

Quantum no-singularity theorem from geometric flows

Salwa Alsaleh
  • Fonction : Auteur
Mir Faizal
  • Fonction : Auteur
Ahmed Farag Ali
  • Fonction : Auteur

Résumé

In this paper, we analyze the classical geometric flow as a dynamical system. We obtain an action for this system, such that its equation of motion is the Raychaudhuri equation. This action will be used to quantize this system. As the Raychaudhuri equation is the basis for deriving the singularity theorems, we will be able to understand the effects and such a quantization will have on the classical singularity theorems. Thus, quantizing the geometric flow, we can demonstrate that a quantum space–time is complete (nonsingular). This is because the existence of a conjugate point is a necessary condition for the occurrence of singularities, and we will be able to demonstrate that such conjugate points cannot occur due to such quantum effects.

Dates et versions

hal-01768079 , version 1 (16-04-2018)

Identifiants

Citer

Salwa Alsaleh, Lina Alasfar, Mir Faizal, Ahmed Farag Ali. Quantum no-singularity theorem from geometric flows. International Journal of Modern Physics A, 2018, 33 (10), pp.1850052. ⟨10.1142/S0217751X18500525⟩. ⟨hal-01768079⟩
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