Intrinsic probability distributions for physical systems

2014/07/31 by Tzu-Chao Hung, Hung, Tzu-Chao
Computer Science · Physics and Astronomy · #Chaos-based Image/Signal Encryption #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Statistical Mechanics and Entropy

paper · pdf · doi:10.48550/arxiv.1407.8389

openalex publication_date 2014/07/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For a given metric g_μν, which is identified as Fisher information metric, we generate new constraints for the probability distributions for physical systems. We postulate the existence of intrinsic probability distributions for physical systems, and calculate the probability distribution by optimizing the Fisher information metric under specified constraints. Accordingly, we get differential equations for the probability distributions.

Related

• Metric on a Statistical Space-Time
• Probability Density Functions from the Fisher Information Metric
• Geometric origin of probabilistic distributions in statistical mechanics
• Fisher information and Hamilton's canonical equations
• Generalized information-entropy measures and Fisher information