Structural Asymmetry Between Configuration and Update as the Basis for Operator Non-Commutation

Project This project develops a structural interpretation of operator non-commutation in quantum mechanics. Rather than introducing non-commutation as a purely algebraic postulate, the framework presented here interprets it as arising from an asymmetry between configuration-local and update-local observables within an ordered evolution structure. In this view: Configuration observables act on a resolved state. Update observables act on the transition between successive states. Because these quantities are defined on structurally distinct layers of evolution, their operations are non-equivalent. The canonical commutator [ x̂ , p̂ ] = iℏ is preserved without modification, but is interpreted as the formal signature of this structural asymmetry rather than as an unexplained primitive feature. The framework does not modify the formal structure of quantum mechanics or relativity. Continuous time and relativistic covariance are recovered in the high-resolution limit. This project presents the structural interpretation and develops its implications in successive versions.