A thermodynamic road to gravity and quantum phenomena: non-relativistic self-gravitating weakly nonlocal fluids

• URL: http://arxiv.org/abs/2504.07296v1
• Date: Wed, 09 Apr 2025 21:39:34 GMT
• Title: A thermodynamic road to gravity and quantum phenomena: non-relativistic self-gravitating weakly nonlocal fluids
• Authors: Mátyás Szücs, Péter Ván,
• Abstract summary: A thermodynamic analysis of weakly nonlocal non-relativistic fluids is presented.<n>An additional scalar field - a so-called internal variable - also contributes to the dynamics.<n>The classical holography of perfect (i.e., non-dissipative) fluids is generally proved.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: A thermodynamic analysis of weakly nonlocal non-relativistic fluids is presented under the assumption that an additional scalar field - a so-called internal variable - also contributes to the dynamics. The most general evolution of this field and the constitutive relations for the pressure tensor and the energy current density are determined by the Liu procedure. The classical holography of perfect (i.e., non-dissipative) fluids is generally proved, according to which the divergence of the pressure tensor can be given by the gradient of a corresponding scalar potential. Both Newtonian gravity and quantum fluid mechanics are covered as special cases of our fluid model. The unified framework generalises and couples quantum physics and gravitational phenomena, shedding light on the common background of several known modifications and generalisations together with thermodynamic restrictions.

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