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Mapping the Galactic Biosphere: A Fokker-Planck Approach to the Stochastic Distribution of Life

2026/02/14 by Elio Quiroga Rodriguez, Elio Quiroga Rodríguez
Earth and Planetary Sciences · Physics and Astronomy · #Earth Systems and Cosmic Evolution #Space Science and Extraterrestrial Life #Statistical Mechanics and Entropy

paper · doi:10.59332/jbis-079-02-0060

openalex publication_date 2026/02/14 · openalex created_date 2026/03/26 · openalex updated_date 2026/05/21

Abstract

This paper presents a stochastic model to estimate the probability of finding life in our galaxy using partial differential equations. The proposed stochastic equation, based on the Fokker-Planck equation, models the probability density function of the existence of planets with life in different star systems over time, modelling the variability and uncertainty in the emergence of life in three-dimensional space. The approach combines concepts from thermodynamics, statistical mechanics and astrobiology to address the complex question of the search for extraterrestrial life.

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