Cosmology from Finite Causal Memory

This project develops a cosmological framework derived from a single physicalprinciple: finite causal accessibility.Rather than postulating spacetime geometry, gravitational dynamics, or darkcomponents, the framework begins from minimal causal requirements—locality,continuity, and finite signal propagation—and investigates their unavoidableconsequences at cosmological scales. The project proceeds in three logically connected steps.First, a no-go theorem establishes that any cosmological theory based on diffusive(parabolic) dynamics necessarily violates finite causality and is thereforephysically inadmissible.Second, a standalone cosmological framework is constructed from finite causalmemory, in which expansion, attraction-like behavior, horizons, and therelativistic causal bound emerge as coarse-grained consequences of hyperbolicinformation dynamics.Spacetime geometry appears only as an effective description of causalaccessibility, and singularities are excluded by construction.Finally, the framework is shown to be observationally testable throughgravitational-wave propagation, which generically exhibits dispersion andattenuation absent in general relativity in vacuum. Together, these results establish finite causal memory as a foundational principlefor cosmology, yielding a coherent, causal, and falsifiable alternative togeometry-first approaches.