2010
DOI: 10.48550/arxiv.1004.1818
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Axial Current, Killing Vector and Newtonian Gravity

Abstract: Starting from the multiplicative torsion approach of gravity and assuming a Killing vector to be proportional to the axial-vector matter current, here we derive Newton's law of gravity where the logarithm of the proportionality factor has been found to be the potential function.

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“…2 Here and throughout the paper, we assume that k B is the Boltzmann constant, G is the Newton gravitational constant, is the Planck constant, c is the speed of light. 3 The ideas offered by Verlinde in [15] have generated wide discussions and investigations, wherefrom we can mention applications to cosmology [20][21][22][23][24][25][26][27][28][29][30][31][32], entropic corrections to the Newton's law of gravity [33][34][35][36][37][38], interpretations in terms of Rindler horizon [39][40][41][42], study of specific gravitational systems [43][44][45], relations with Loop Quantum Gravity [46][47][48] and a specific microscopic justification of bits on the surface [49].…”
Section: Introductionmentioning
confidence: 99%
“…2 Here and throughout the paper, we assume that k B is the Boltzmann constant, G is the Newton gravitational constant, is the Planck constant, c is the speed of light. 3 The ideas offered by Verlinde in [15] have generated wide discussions and investigations, wherefrom we can mention applications to cosmology [20][21][22][23][24][25][26][27][28][29][30][31][32], entropic corrections to the Newton's law of gravity [33][34][35][36][37][38], interpretations in terms of Rindler horizon [39][40][41][42], study of specific gravitational systems [43][44][45], relations with Loop Quantum Gravity [46][47][48] and a specific microscopic justification of bits on the surface [49].…”
Section: Introductionmentioning
confidence: 99%