Fractal Sparse-Origin Hypothesis of Cosmic Life Distribution

The Fractal Sparse-Origin Hypothesis (FSOH) proposes that abiogenesis is not a repeatable or probabilistically common phenomenon across large astrophysical regions. Instead, life emerges only once within any high-scale cosmic domain—such as a galaxy or multi-galaxy cluster—due to extreme fractal sparsity in the boundary conditions required for biological origin. The hypothesis models abiogenesis as a measure-zero intersection in a high-dimensional space of chemical asymmetries, environmental anisotropies, thermodynamic fluxes, and transient boundary states. In this framework, habitability is necessary but not predictive: many environments may satisfy known criteria for life, yet only one statistically unique site reaches the fractal boundary intersection where life can emerge. FSOH provides a resolution to the Fermi Paradox without invoking extinction events, civilizational behavior, or universal Great Filters. It predicts that Earth represents the singular life-bearing anchor of our cosmic region, and that no independent abiogenesis event will be detected within the Milky Way. This repository contains the full theoretical paper, equations, and conceptual figures for citation and archival purposes.