Dynamic State-Space Theory for the Double-Slit Experiment: A Relational Account of Random Detection Events

Abstract

We present a focused formulation of Dynamic State-Space Theory (DSST) applied exclusively to the double-slit experiment. The theory addresses a single question: why areindividual detection events localized and unpredictable, while an ensemble of events yields a stable interference pattern? An energetic process (source, slits, propagation, environment and detector) is treated as generating and evolving a relational state-space S of dynamically accessible configurations. A measurement interaction is modelled as a physical sampling of S that produces one definite, localized outcome and a subsequent state. Individual outcomes remain intrinsically probabilistic; the Born distribution and the interference term are recovered exactly from the geometry of S. The framework is phenomenological: it does not modify the Schr¨odinger equation or the Born rule, and it makes no claim of experimental departure from standard quantum mechanics. Its contribution is a precise conceptual and mathematicallanguage for the origin of randomness in the double-slit setting.