A Combined Entropy/Phase-Field Approach to Gravity

Georg J. Schmitz

doi:10.20944/preprints201703.0136.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 16 March 2017 / Approved: 17 March 2017 / Online: 17 March 2017 (05:16:12 CET)

Terms related to gradients of scalar fields are introduced as scalar products into the formulation of entropy. A Lagrange density is then formulated by adding constraints based on known conservation laws. Applying the Lagrange formalism to the resulting Lagrange density leads to the Poisson equation of gravitation and also includes terms being related to curvature of space. The formalism further leads to terms possibly explaining nonlinear extensions known from modified Newtonian dynamics approaches. The article concludes with a short discussion of the presented methodology and provides an outlook on other phenomena, which might be tackled using this new approach.

entropic gravity; Lagrange formalism; phase-field models; gradient-entropy; constraints; maximum entropy principle; curvature of space; conservation laws; Modified Newtonian Dynamics; MOND

PHYSICAL SCIENCES, Astronomy & Astrophysics

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A Combined Entropy/Phase-Field Approach to Gravity

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