Quantum Gravitational Correction and MOND Theory in the Holographic Equipartition Scenario

TL;DR

This paper derives quantum corrections to gravity and MOND theory using holographic principles, analyzing phase transitions and critical phenomena within this framework.

Contribution

It introduces a novel approach combining Verlinde's and Padmanabhan's formalisms to derive quantum corrections and phase transition analysis in MOND-like gravity.

Findings

Quantum correction to gravitational acceleration derived.

MOND-type theory with phase transition behavior analyzed.

Critical exponents for the phase transition obtained.

Abstract

In this paper, by using Verlinde's formalism and a modified Padmanabhan's prescription, we have obtained the lowest order quantum correction to the gravitational acceleration and MOND-type theory by considering a nonzero difference between the number of bits of the holographic screen and number of bits of the holographic screen that satisfy the equipartition theorem. We will also carry out a phase transition and critical phenomena analysis in MOND-type theory where critical exponents are obtained.