Alexander Shalyt-Margolin. The Equivalence Principle, Holographic Principle and Quantum-gravitational Corrections for Regge Calculus
Natural Sciences / Physics / Gravitation Theory (Relativity)
Submitted on: Oct 14, 2023, 13:43:38
Description: This paper presents a study of quantum-gravitational corrections to General Relativity (GR) when the latter is considered in a discrete pattern of the Regge Calculus. These corrections have been found explicitly in the case when the space-time foam a la Wheeler at the Planck scale comprises Planck (quantum) black holes, whereas the physical system per se, where GR is considered, represents a black hole in stationary state (i.e. in the absorption and radiation processes absence) or after of minimal accretion, and in a more general case,if it satis es the Hooft-Susskind Holographic Principle. It is shown that these corrections generate the contributions changing the plane geometry of the corresponding simplices in the Regge Calculus and that such changes are most signi cant at high (Planck) energies