Mirridian Dimensional Collapse Model

This work introduces the Mirridian Dimensional Collapse Model, a foundational dyadic–harmonic framework for describing dimensional structure as an internal restriction of relational degrees of freedom within a closed state space. The model is developed explicitly and exclusively up to the H = 15 (0:14) dyadic shell, corresponding to a system with seven paired degrees and a central invariant.

Within this framework, dimensionality is not treated as an accumulation of spatial axes, but as the progressive limitation of accessible rotational relations inside a fixed dyadic manifold. The highest justified regime (H = 15) exhibits octonionic logical structure, including non-associativity, while lower regimes (H = 9 and H = 5) arise through internal collapse to quaternionic and polarized quaternionic structures, respectively.

The model demonstrates how associative behavior, observer-relative asymmetry, and experienced 3+1 dimensional structure emerge without the introduction or removal of states. All lower-dimensional regimes are shown to be quotient structures of the same closed state space.

No claims are made regarding physical constants, cosmology, or empirical prediction. The document is intended as a conceptual and mathematical foundation for further exploration of dyadic state spaces, rotational symmetry, and dimensional reduction, and is presented independently of existing physical theories.

Code, simulations, and full implementation available at: github.com/OldeKingCrow/Consciousness-Architecture-Holofractal-Mathematics