Is quantum time the classical time
Year: 2021
Type: preprint
Abstract: We propose to study the entanglement entropy in braneworld modified gravity. We show that the d + 1-dimensional action Id+1 is the dual of d d 1-dimensional entanglement entropy SdEE. Moreover, we remark that the generalization of action-entropy shows us a new form of f(R) gravity which is in good agreement with the most choices of f(R) gravity in the literature. We show also that there are two copies of the AdS spaces in holographic entanglement f(R) gravity. We have proposed that the time is a holographic projection of the hidden d-brane on the visible d-brane. To determine the geometry of this holographic projection, we have used the AdS2 geometry of black hole. Namely, the past of events is memorized over a S1. We show that the time projection is a stereographic projection from a time sphere Sdd 2 on the hidden d-brane to the visible d-brane. We suggest that there is a difference between the time in classiccal gravity and the time in quantum gravity.
Source: arXiv (Cornell University)
Author: M. Bousder
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3158802200