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A Combined Entropy/Phase-Field Approach to Gravity

2017/03/31 by Georg J. Schmitz · 1 citation
Physics and Astronomy · Materials Science · #Advanced Thermodynamics and Statistical Mechanics #Solidification and crystal growth phenomena #Cosmology and Gravitation Theories

paper · pdf · doi:10.3390/e19040151

openalex publication_date 2017/03/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

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 which are related to the 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 dealt with using this new approach.

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