Is Holographic Entropy and Gravity the result of Quantum Mechanics?

Abstract

In this paper we suggest a connection between quantum mechanics and Verlinde's recently proposed entropic force theory for the laws of Newton. We propose an entropy based on the quantum mechanical probability density distribution. With the assumption that the holographic principle holds we propose that our suggested quantum entropy generalizes the Bekenstein entropy used by Verlinde in his approach. Based on this assumption we suggest that Verlinde's entropic theory of gravity has a quantum mechanical origin. We establish a reformulation of the Newtonian potential for gravity based on this quantum mechanical entropy. We also discuss the notion of observation and the correspondence to classical physics. Finally we give a discussion, a number of open problems and some concluding remarks.

arXiv comment12 pages

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Cited by in corpus (6)

• Surface Density of Spacetime Degrees of Freedom from Equipartition Law in theories of Gravity
• A holographic map of action onto entropy
• Canonical Relational Quantum Mechanics from Information Theory
• The Klein-Gordon equation in Machian model
• Action in the Entropic Revolution of Newtonian Gravity
• Solution for a non linear Schrödinger equation via Hopf-Cole transformation