The Dimensional Architecture of Constants: A Unified Theory of Invariance, Topological Pre-existence, and Superagency

This paper proposes a new theoretical framework—Dimensional Invariance Theory—which redefines the structure of physical reality by assigning a single unchanging “father” constant to each dimension. Drawing from general relativity, quantum mechanics, algebraic topology, and higher-dimensional geometry, the theory posits that in any given dimension, only one element may remain invariant while all others must change to preserve its constancy. Beginning with light as the governing force of the third dimension, we derive time as its dependent “child,” and extend the logic into four dimensions using the tesseract geometry to define a new governing constant: agency. This superdimensional agency acts not through spontaneous creation or collapse but through traversal across a pre-encoded state-space, aligning with topological algebra where all possible outcomes must already exist for meaningful choice to be made. The theory critiques mainstream quantum interpretations of randomness and superposition, offering instead a deterministic structure governed by vertical hierarchies of invariance and horizontal constraints of dimensional exclusivity. Building on Kip Thorne’s depiction of the tesseract and relativistic time manipulation, we derive new geometric-metric formulations that introduce agency as a fourth-dimensional constant orthogonal to time. This work aims to unify the logical architecture of physical laws with the philosophical conditions required for causality, agency, and consciousness, laying groundwork for a new class of theoretical physics rooted in structure rather than uncertainty.