A Dual-Substrate Field Model: A Computational Exploration of Emergent Structure from a Null Axiom

This paper presents a computational toy model designed to explore a fundamental theoretical question: *If a system begins with an absolute, irreconcilable contradiction, what mathematical structures must it generate to stabilize itself?* Rather than presenting a finalized physical map of our actual universe, this framework offers a "Bootstrapping Pipeline: 0--9", a closed-form chain of ten equations exploring how space, time, and physical constants might theoretically emerge as derivable consequences of a dual-compositional number-theoretic substrate. It is vital to distinguish rigorously between structurally derived quantities (Category A) and fitted parameters (Category B) used to calibrate the simulation. This paper does not claim to replace standard cosmological derivations. it is a speculative unification sandbox. By running this model, complete with verifiable Python implementations for each step, we aim to investigate the boundary where pure number theory and algorithmic stability mirror the architecture of physical laws.