Is it possible to implement a holographic equivalence principle?

Departament de Matemàtica, Universitat de Lleida - Catalonia, Spain

^(a) gine@matematica.udl.cat (corresponding author)

Received: 20 November 2020
Accepted: 1 April 2021

Abstract

In this work we study the implementation of the holographic equivalence principle which states that it is equivalent to have a central mass affecting a test particle than an event horizon. The conclusion is that the holographic equivalence principle cannot be implemented based only in the imbalance of the quantum fluctuations, in a similar way to the Casimir effect, and the constituents of the particle must be taken into account. Hence the gravitation cannot have an explanation only in terms of the spontaneous quantum fluctuations around a particle without taking into account the interactions of the constituents of the particle with their surroundings.