Emergence of Quantum Dynamics and Probability from Non-Privileged Phase Space and Finite Resolution

This paper presents a structural derivation of quantum dynamics and probability from a minimal set of pre-physical assumptions: non-privileged phase space, finite resolution, and measure-preserving global dynamics. Rather than postulating quantum axioms, the framework shows how internal probabilistic interpretation (Born rule) and Schrödinger-type dynamics emerge as necessary consequences of finite-resolution internal projections applied to a globally deterministic phase-flow structure. The paper emphasizes a strict separation between global density and internal probability, and includes a structural log clarifying where assumptions are introduced and where they are explicitly excluded. This is Version 1. Subsequent versions may refine appendix structure, notation, and cross-referencing without altering the core theoretical results. Note (2026):A refined and structurally clarified successor to this work is now available as“Phase-Flow Coherence v3: Inevitability of Quantum Dynamics from Finite Resolution and Non-Privileged Phase Space”.The present paper should be regarded as a detailed intermediate derivation, while PFC v3 presents the finalized inevitability result within the MOF framework.