Emergence of extended Newtonian gravity from thermodynamics

Ván, P.; Abe, Sumiyoshi

doi:10.1016/j.physa.2021.126505

Cited by 6 publications

(7 citation statements)

References 12 publications

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“…As shown in Reference [8], the scalar field potential φ up to the galaxy scale may obey the following equation:…”

Section: Thermodynamicsmentioning

confidence: 99%

“…Since the emergent degrees of freedom are generally considered to be relevant on a larger scale, it is natural to assume that the extended Newtonian gravity may play a role outside the fluid distribution, or a galaxy. In the relaxation limit, the stationary field equation in vacuum is shown to be given as follows [8]:…”

Section: Thermodynamicsmentioning

confidence: 99%

“…the solution independent of boundary conditions, and therefore the force behaves as 1/ r (see the next section). It is however noted that K should be positive if such an emergent force is required to be attractive [8]. So far, there are no a priori reasons known for ruling out negative K.…”

Section: Thermodynamicsmentioning

confidence: 99%

“…The field equation for the potential of emergent gravity derived in Reference [8] is nonlinear and admits the logarithmic solution leading to the 1/ r force mentioned above. This might apparently possesses an infrared divergence of the field energy.…”

Section: Introductionmentioning

confidence: 99%

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Crossover in Extended Newtonian Gravity Emerging from Thermodynamics

Abe

Ván

2022

Symmetry

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Recently, it has been discovered that a scalar field coupled to a fluid and allowed to be a thermodynamic variable in consistency with the second law of thermodynamics is only of gravity, and, accordingly, the emergence of extended Newtonian gravity has been predicted. The resulting field equation for the potential of this emergent force is nonlinear and admits the logarithmic potential as a singular solution, suggesting its relevance to the dark matter conundrum. Here, a general analysis of the nonlinear field equation is performed. It is found that the emergent force field exhibits an unsharp crossover between the 1/r and 1/r2 forces outside the fluid, depending on a spatial scale characteristic of the present theory to be observationally tested in the context of the dark matter conundrum. Then, the action functional is constructed for the potential of the emergent field, and the field energy is shown to be free from an infrared divergence. A comment is also made on the difference of the present theory to MOND (modified Newtonian dynamics).

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“…As shown in Reference [8], the scalar field potential φ up to the galaxy scale may obey the following equation:…”

Section: Thermodynamicsmentioning

confidence: 99%

Section: Thermodynamicsmentioning

confidence: 99%

Section: Thermodynamicsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Crossover in Extended Newtonian Gravity Emerging from Thermodynamics

Abe

Ván

2022

Symmetry

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“…These axioms of thermostatics are valid for homogeneous systems. Moreover, they provide a key to extend Gibbs relation and classical thermodynamic methods to continuum elasticity and various weakly nonlocal continua as well, like self-gravitating or gradient elastic ones [9,36,37].…”

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confidence: 99%

Open Mathematical Aspects of Continuum Thermodynamics: Hyperbolicity, Boundaries and Nonlinearities

2020

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Thermodynamics is continuously spreading in the engineering practice, which is especially true for non-equilibrium models in continuum problems. Although there are concepts and approaches beyond the classical knowledge, which are known for decades, their mathematical properties, and consequences of the generalizations are less-known and are still of high interest in current researches. Therefore, we found it essential to collect the most important and still open mathematical questions that are related to different continuum thermodynamic approaches. First, we start with the example of Classical Irreversible Thermodynamics (CIT) in order to provide the basis for the more general and complex frameworks, such as the Non-Equilibrium Thermodynamics with Internal Variables (NET-IV) and Rational Extended Thermodynamics (RET). Here, we aim to present that each approach has its specific problems, such as how the initial and boundary conditions can be formulated, how the coefficients in the partial differential equations are connected to each other, and how it affects the appearance of nonlinearities. We present these properties and comparing the approach of NET-IV and RET to each other from these points of view. In the present work, we restrict ourselves on non-relativistic models.

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Field equation of thermodynamic gravity and galactic rotational curves

Pszota,

Ván

2024

Physics of the Dark Universe

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Emergence of extended Newtonian gravity from thermodynamics

Cited by 6 publications

References 12 publications

Crossover in Extended Newtonian Gravity Emerging from Thermodynamics

Crossover in Extended Newtonian Gravity Emerging from Thermodynamics

Open Mathematical Aspects of Continuum Thermodynamics: Hyperbolicity, Boundaries and Nonlinearities

Field equation of thermodynamic gravity and galactic rotational curves

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