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The Relativistic Boltzmann Equation and Two Times.
L P Horwitz1,2,3
1School of Physics, Tel Aviv University, Ramat Aviv 69978, Israel.
Entropy (Basel, Switzerland)
|December 8, 2020
Summary
This study introduces a relativistic Boltzmann equation where observed time can decrease, defining antiparticles. It explores how particle-antiparticle interactions, like pair annihilation, can lead to decreasing antiparticle entropy.
Area of Science:
- Relativistic statistical mechanics
- Particle physics
- Cosmology
Background:
- The standard Boltzmann equation describes particle systems in spacetime.
- Relativistic effects and particle-antiparticle distinctions require advanced theoretical frameworks.
Purpose of the Study:
- To present a covariant relativistic Boltzmann equation.
- To explore the implications for entropy evolution, particularly concerning antiparticles.
Main Methods:
- Developed a covariant relativistic Boltzmann equation using a universal invariant parameter τ.
- Analyzed the relationship between observed time (t) and τ, considering particle interactions.
Main Results:
- Observed time (t) is not always monotonic with τ; decreasing t(τ) signifies antiparticles.
- Demonstrated that in pair annihilation regions, antiparticle entropy can decrease.
Conclusions:
- The covariant relativistic Boltzmann equation provides a novel framework for understanding particle and antiparticle behavior.
- Entropy evolution in relativistic systems, especially during annihilation, exhibits complex dynamics.
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