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

Elio Quiroga Rodriguez

2026.079.0060

DOI https://doi.org/10.59332/jbis-079-02-0060

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.

Keywords: Stochastic, Partial Differential Equations, Probability of Life, Search for Extraterrestrial Life, Extraterrestrial Intelligence, Astrobiology