An invariant model of boltzmann statistical mechanics and some of its implications to thermodynamics and quantum nature of space and time

Siavash H. Sohrab

An invariant model of boltzmann statistical mechanics and some of its implications to thermodynamics and quantum nature of space and time

Siavash H. Sohrab^*

^*Corresponding author for this work

Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Further implications of a scale invariant model of Boltzmann statistical mechanics to generalized thermodynamics and quantum nature of space and time are described. Scale invariant definition of absolute thermodynamic temperature identified as Wien wavelength of thermal oscillations is applied to introduce internal dependent measures of space and time called spacetime. The internal spacetime measures (λ _wβ-1 , τ _wβ-1 ) allow for definition of external independent measures of space and time coordinates (x _β , t _β ) for the description of system dynamics. Because of its hyperbolic geometry, its discrete or quantum fabric, and its stochastic atomic motions, physical space is called Lobachevsky-Poincaré-Dirac-Space.

Original language	English (US)
Pages (from-to)	199-212
Number of pages	14
Journal	WSEAS Transactions on Applied and Theoretical Mechanics
Volume	13
State	Published - 2018

Keywords

Generalized thermodynamics
Quantum nature of space and time
Relativity
Spacetime
TOE

ASJC Scopus subject areas

Computational Mechanics
Civil and Structural Engineering
Mechanics of Materials
Mechanical Engineering
Fluid Flow and Transfer Processes

Cite this

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abstract = " Further implications of a scale invariant model of Boltzmann statistical mechanics to generalized thermodynamics and quantum nature of space and time are described. Scale invariant definition of absolute thermodynamic temperature identified as Wien wavelength of thermal oscillations is applied to introduce internal dependent measures of space and time called spacetime. The internal spacetime measures (λ wβ-1 , τ wβ-1 ) allow for definition of external independent measures of space and time coordinates (x β , t β ) for the description of system dynamics. Because of its hyperbolic geometry, its discrete or quantum fabric, and its stochastic atomic motions, physical space is called Lobachevsky-Poincar{\'e}-Dirac-Space. ",

keywords = "Generalized thermodynamics, Quantum nature of space and time, Relativity, Spacetime, TOE",

author = "Sohrab, {Siavash H.}",

note = "Funding Information: Some of this research was in part supported by NASA grant No. NAG3-1863. Publisher Copyright: {\textcopyright} 2018, World Scientific and Engineering Academy and Society. All rights reserved.",

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N2 - Further implications of a scale invariant model of Boltzmann statistical mechanics to generalized thermodynamics and quantum nature of space and time are described. Scale invariant definition of absolute thermodynamic temperature identified as Wien wavelength of thermal oscillations is applied to introduce internal dependent measures of space and time called spacetime. The internal spacetime measures (λ wβ-1 , τ wβ-1 ) allow for definition of external independent measures of space and time coordinates (x β , t β ) for the description of system dynamics. Because of its hyperbolic geometry, its discrete or quantum fabric, and its stochastic atomic motions, physical space is called Lobachevsky-Poincaré-Dirac-Space.

AB - Further implications of a scale invariant model of Boltzmann statistical mechanics to generalized thermodynamics and quantum nature of space and time are described. Scale invariant definition of absolute thermodynamic temperature identified as Wien wavelength of thermal oscillations is applied to introduce internal dependent measures of space and time called spacetime. The internal spacetime measures (λ wβ-1 , τ wβ-1 ) allow for definition of external independent measures of space and time coordinates (x β , t β ) for the description of system dynamics. Because of its hyperbolic geometry, its discrete or quantum fabric, and its stochastic atomic motions, physical space is called Lobachevsky-Poincaré-Dirac-Space.

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An invariant model of boltzmann statistical mechanics and some of its implications to thermodynamics and quantum nature of space and time

Abstract

Keywords

ASJC Scopus subject areas

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