2007/11/28 by Oded Kafri, Kafri, Oded
Computer Science · Mathematics · Physics and Astronomy · #Artificial Intelligence (cs.AI) #Benford’s Law and Fraud Detection #FOS: Computer and information sciences #Information Theory (cs.IT) #Quantum Mechanics and Applications #Statistical Mechanics and Entropy #cs.AI #cs.IT #math.IT
paper · pdf · doi:10.48550/arxiv.0711.4507
30 pages, 3 figures
arxiv created 2007/11/28 · openalex publication_date 2007/11/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
It is a common belief that in any environment where life is possible, life will be generated. Here it is suggested that the cause for a spontaneous generation of complex systems is probability driven processes. Based on equilibrium thermodynamics, it is argued that in low occupation number statistical systems, the second law of thermodynamics yields an increase of thermal entropy and a canonic energy distribution. However, in high occupation number statistical systems, the same law for the same reasons yields an increase of information and a Benford's law/power-law energy distribution. It is therefore, plausible, that eventually the heat death is not necessarily the end of the universe.