2010/02/28 by M. A. Santos, M.A. Couto dos Santos, Ion V. Vancea +1 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Entropic force #Entropic gravity #Entropy (arrow of time) #General relativity #Gravitation #Inertia #Loop quantum gravity #Mathematics #Newton's laws of motion #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum gravity #Quantum mechanics #Statistical physics #Theoretical physics #Uncertainty principle #gr-qc #hep-th #physics.pop-ph #quant-ph
paper · pdf · doi:10.1142/s0217732312500125
10 pages. Important discussion of the special relativistic case and the newtonian limit of the general relativistic case added. The paper has been reformatted. The authorship listing corrected. (It has been published by mistake out of order in the first version. We have been adhering to the Hardy-Littlewood Rule over the years.) Typos corrected. Four references added
arxiv created 2011/10/26 · openalex publication_date 2012/01/11 · arxiv updated 2015/05/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The entropic formulation of the inertia and the gravity relies on quantum, geometrical and informational arguments. The fact that the results are completely classical is misleading. In this paper, we argue that the entropic formulation provides new insights into the quantum nature of the inertia and the gravity. We use the entropic postulate to determine the quantum uncertainty in the law of inertia and in the law of gravity in the Newtonian Mechanics, the Special Relativity and in the General Relativity. These results are obtained by considering the most general quantum property of the matter represented by the Uncertainty Principle and by postulating an expression for the uncertainty of the entropy such that: (i) it is the simplest quantum generalization of the postulate of the variation of the entropy and (ii) it reduces to the variation of the entropy in the absence of the uncertainty.