Grand Consistency Theory: Foundations and Microscopic Axioms

This paper presents the foundational formulation of Grand Consistency Theory (GCT), a pre-geometric framework in which spacetime, quantum structure, gauge interactions, matter, gravity, and cosmology are treated as effective structures emerging from a common microscopic system of relational constraints. Version 2.0 provides a refined axiomatic formulation of the microscopic architecture, including the finite oriented simplicial carrier, chain-complex structure, reversible coefficient space, internal involutive algebra, physical and auxiliary constraint sectors, statistical consistency weighting, primitive reference measure, real structure, and admissible refinement framework. The paper establishes the mathematical criteria for microscopic admissibility, consistency, stability, refinement, universality, continuum emergence, and falsifiability. It provides the foundational structure from which the subsequent papers in the Grand Consistency Theory series develop the effective geometric, quantum, gravitational, particle-physics, and cosmological sectors.