Physical Geometry: Quantum Mechanics IV — Measurement and Representational Limits from Transport Geometry

This paper develops the geometric origin of measurement and representational limits within the holonomy-based transport framework introduced in Physical Geometry: Quantum Mechanics I–III. Measurement is interpreted as projection onto invariant comparison quantities, preserving transport weights while discarding transport information that is not invariantly accessible. As a consequence, measurement outcomes appear discrete and probabilistic even when the underlying transport structure remains geometrically well-defined. Correlations arising from shared transport structure are shown to exhibit nonlocal consistency at the representational level as a natural consequence of geometric transport. This work establishes measurement and representational accessibility as structural consequences of transport geometry, completing the representational foundations of quantum mechanics within the Physical Geometry framework. This Zenodo record establishes priority and archival timestamp. Public release via arXiv is in progress.