Mirridian Dimensional Collapse Model
Abstract
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
Fields of Study & Subjects
Algebraic and Geometric Analysis
Advanced Differential Geometry Research
Quantum and Classical Electrodynamics
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 2 January 2026