Implications of the generalized entropy formalisms on the Newtonian gravity and dynamics

2017/11/30 by H. Moradpour, A. Sheykhi, Ahmad Sheykhi +3 · 2 citations
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Classical mechanics #Cosmology and Gravitation Theories #Dynamics (music) #Entropy (arrow of time) #Geometry #Mathematical physics #Modified Newtonian dynamics #Newtonian fluid #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Rotation formalisms in three dimensions #Statistical physics #Theoretical physics #Thermodynamics #physics.gen-ph

paper · pdf · doi:10.1016/j.physletb.2018.06.040

Accepted version by PLB (2018)

openalex created_date 2018/04/24 · openalex publication_date 2018/06/21 · arxiv created 2018/06/22 · arxiv updated 2018/06/25 · openalex updated_date 2026/08/06

Abstract

Employing the Verlinde's hypothesis, and considering two well-known generalized entropy formalisms, two modifications to the Newtonian gravity are derived. In addition, it has been shown that the generalized entropy measures may also provide theoretical basis for the Modified Newtonian Dynamics (MOND) theory and generate its modified forms. Since these entropy measures are also successful in describing the current accelerated universe, our results indicate that the origin of dark sectors of cosmos may be unified to meeting the generalized entropy measures instead of the Boltzmann–Gibbs entropy by the gravitational systems due to the long-range nature of gravity.

Citations

• A modification of the Newtonian dynamics - Implications for galaxies
• A modification of the Newtonian dynamics as a possible alternative to the hidden mass hypothesis
• Modified entropic force
• Quantum UV/IR relations and holographic dark energy from entropic force
• Quantum statistical modified entropic gravity as a theoretical basis for MOND
• Thermodynamics of Spacetime: The Einstein Equation of State
• Entropy and Area
• When is a quantity additive, and when is it extensive?
• Notes on entropy force in general spherically symmetric spacetimes
• Relative information entropy in cosmology: The problem of information entanglement
• A Modification of the Newtonian Dynamics - Implications for Galaxy Systems

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