The Lumpy Spark Hypothesis: Localized Ignition Framework

This manuscript develops a localized, threshold-driven ignition framework in which a bounded, gravitationally confined region of cold matter may transition into a radiation-dominated, expanding domain. Rather than interpreting cosmic expansion as the result of a single global origin event, the framework formalizes a local, mechanism-level pathway by which expansion-like regions (“Sparks”) may arise within an inhomogeneous cosmic environment. The model emphasizes structural threshold conditions involving degeneracy breakdown, collapse-driven heating, radiative dominance, anisotropic outflow, and gravitationally mediated radiative closure under extreme confinement. Version 2.0 Update:This release represents a major structural and conceptual revision of the original manuscript. The paper has been fully rebuilt and reorganized for clarity, with expanded mathematical formalism, strengthened ignition and recycling conditions, and clearer scope limits. New material has been added on post-ignition domain formation, overlap between independent expanding regions, observer-limited coexistence of local expansion histories, environmental anisotropy, and qualitative observational signatures. Additional appendices containing toy models and schematic figures have been introduced to clarify threshold behavior, anisotropic outflow, radiative confinement, and the broader architecture of overlapping Spark domains.