Statistical Entropy of 5D Ricci-Flat Space-Time with Generalized Uncertainty Principle Revised
2010
Considering corrections to all orders in the Planck length on the quantum state density from generalized uncertainty principle and using that quantum state density to all degrees of freedom including extra dimension, we calculate the statistical entropy of scalar field in the 5D Ricci-flat space-time without any artificial cutoff. Calculation shows that the entropy is the linear sum of the event horizon area and the cosmological horizon area.
Keywords:
- Quantum relative entropy
- Maximum entropy probability distribution
- Physics
- Quantum mechanics
- Quantum electrodynamics
- Entropy in thermodynamics and information theory
- Generalized relative entropy
- Principle of maximum entropy
- Joint quantum entropy
- Classical mechanics
- Maximum entropy thermodynamics
- Maximum entropy spectral estimation
- Entropy (statistical thermodynamics)
- Correction
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