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The theory of thermodynamic relativity
George Livadiotis1, David J McComas2
1Department of Astrophysical Sciences, Princeton University, Princeton, NJ, 08544, USA. glivadiotis@princeton.edu.
Scientific Reports
|September 30, 2024
Summary
We introduce thermodynamic relativity, unifying thermodynamics and kinematics via identical postulates for entropy and velocity. This framework naturally leads to anisotropic and nonlinear relativistic adaptations, offering a new generalization path beyond curved spacetime.
Area of Science:
- Physics
- Thermodynamics
- Kinematics
- Relativity
Background:
- Thermodynamics and kinematics share a mathematical structure with relativity.
- Generalizing relativity in a thermodynamic context is unexplored.
- Existing generalizations of relativity focus on curved spacetime.
Purpose of the Study:
- Introduce thermodynamic relativity, a unified framework for entropy and velocity.
- Generalize relativity through a thermodynamic lens.
- Explore anisotropic and nonlinear adaptations of relativity.
Main Methods:
- Postulate-driven generalization of relativity based on three identical principles for entropy and velocity.
- Development of kappa-addition for combining entropies and velocities.
- Construction of linear anisotropic special relativity using kappa-addition.
Main Results:
- Identical postulates for entropy and velocity lead to a unified relativistic framework.
- Kappa-addition unifies entropy and velocity addition rules.
- Thermodynamic relativity encompasses nonextensive thermodynamics and isotropic special relativity as limiting cases.
- Linear anisotropic special relativity formulations derived, including asymmetric Lorentz transformations.
Conclusions:
- Thermodynamic relativity provides a novel, unified approach to thermodynamics and kinematics.
- The framework naturally predicts anisotropic relativistic effects.
- Potential for experimental detection and quantification of anisotropy in relativistic phenomena.
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