Why Space Permits Quantised Patterns: Geometry, Boundary Constraints, and the Origin of Discreteness

Emile Van Der Merwe

Published Jan 20, 2026• 0 citations

Abstract

Quantum mechanics provides unparalleled predictive accuracy yet remains conceptually unsettled regarding the ontological status of particles, waves, and measurement. Many apparent paradoxes arise from object-centred interpretations inherited from classical mechanics. This paper offers a structural clarification in which space is treated not as an empty container but as a continuous, relational constraint system whose geometry and boundary conditions permit only certain self-consistent excitation patterns. Within this framework, quantisation arises as a consequence of discrete boundary lock-in rather than as a fundamental postulate, and measurement is interpreted as irreversible pattern resolution under material constraints. The approach does not modify quantum formalism, but clarifies its interpretation by relocating discreteness, localisation, probability, and entanglement within geometry and topology.

DOI: 10.5281/zenodo.18312527

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