RigbySpace: A Fully Recursive, Rational Foundation for Physics, Time, and Cosmology

RigbySpace (RS) proposes a radical departure from the continuum-based paradigms that underlie classical physics, general relativity, and quantum field theory. Rejecting irrational constants, infinite quantities, and unmeasurable abstractions, RS replaces the smooth spacetime manifold with a fully recursive, discrete lattice defined entirely by rational quantities and finite steps. Every law of motion, field interaction, curvature, or quantum behavior is modeled not through calculus but through recursive imbalance propagation governed by exact relations. This document offers an expanded synthesis of RS as a physical ontology: a cosmology, quantum mechanics, and cognitive architecture in one. We present its laws, derive its field equations, explore its implications for black hole thermodynamics, time, and the structure of consciousness, and demonstrate its falsifiable predictions for future observation. If true, RS is not a reformulation. It is a replacement. Not a model of the universe—but the mechanism itself.