Anatomy of Measurement: Dynamic Reduction of Dimensionality on the Simplex of States

This work presents a dynamical solution to the quantum measurement problem within the Theory of Structural Articulation (TSA). Measurement is described as a physical process of dimensionality reduction on the simplex of states, governed by a metriplectic flow combining unitary dynamics and dissipative relaxation of a structural conflict functional. The collapse of the wave function is interpreted as a finite-time contraction of the set of realizable states, rather than an axiomatic projection.

The framework introduces an explicit collapse timescale, a criterion for the quantum–classical transition, and a structural explanation of the Born rule based on the geometry of attraction basins. Multipartite (GHZ-type) entangled states are shown to be intrinsically fragile due to exponential growth of the state-space dimensionality. The theory preserves locality and relativistic causality and yields experimentally testable predictions distinguishing it from standard quantum mechanics.