Scale-Recursive Non-Uniform Domain Tiling: A Unified Framework from Planck Scale to Mind Integrating Tick Graph Theory, Neuroscience, Computational Emergence, and Artificial Cognition

We propose that the organizational principle of Scale-Recursive Non-Uniform Domain Tiling (SRNUDT), sovereign domain tiling with continuous boundaries and a generative remainder, repeated at each scale, constitutes a unifying framework connecting quantum gravity, neuroscience, computational emergence, and artificial cognition. This paper integrates five previously independent research components: (1) Tick Graph Theory and Remainder Algebra (TCC/TGT), which attaches internal degrees of freedom to causal set nodes via the commutation relation [T-hat, R-hat] = ih_tau; (2) the SRNUDT neuroscience synthesis, documenting the principle across six scales of brain architecture; (3) BoltzmannOS, a computational demonstration of emergent hierarchical organization from tick-based dynamics; (4) JuniorCore, a neuroscience-grounded artificial cognitive architecture implementing SRNUDT principles; and (5) Universe in a Box — the program's long-range computational objective: a simulation framework designed to test whether tick-based physical laws can spontaneously produce hierarchical complexity and, ultimately, mind. We present the unified thesis, the evidence at each scale, the cross-domain connections, and a rigorous adversarial validation identifying what survives scrutiny, what requires qualification, and what remains open. We are explicit that the unification is currently a research program definition, not a completed theory. The program’s core irreducible claim is this: the three-component SRNUDT pattern, sovereign domain tiling, continuous boundaries, generative remainder, constitutes a candidate universal organizing principle worth systematic investigation, supported by multi-scale empirical evidence, computational demonstration (BoltzmannOS), and a candidate formal backbone (TCC). This claim is falsifiable: a scale at which the three-component pattern does not appear, despite sufficient characterization, would constrain or refute the program.