학술논문

Generalized Holographic Principle, Gauge Invariance and the Emergence of Gravity à la Wilczek
Document Type
article
Source
Frontiers in Astronomy and Space Sciences, Vol 8 (2021)
Subject
Wilczek gravity
black hole information loss problem
emergent gravity
gauge invariance
holographic principle
Astronomy
QB1-991
Geophysics. Cosmic physics
QC801-809
Language
English
ISSN
2296-987X
Abstract
We show that a generalized version of the holographic principle can be derived from the Hamiltonian description of information flow within a quantum system that maintains a separable state. We then show that this generalized holographic principle entails a general principle of gauge invariance. When this is realized in an ambient Lorentzian space-time, gauge invariance under the Poincaré group is immediately achieved. We apply this pathway to retrieve the action of gravity. The latter is cast à la Wilczek through a similar formulation derived by MacDowell and Mansouri, which involves the representation theory of the Lie groups SO(3,2) and SO(4,1).