The Cold‑Phase Ontology: A Timeless Structural Foundation for Quantum Mechanics

Abstract This paper develops a structural ontology in which quantum states arise from a timeless, nondynamical substrate referred to as the cold phase. In contrast to dynamical interpretations that treat the wavefunction as evolving in time, the cold‑phase framework proposes that the wavefunction is a representation of a deeper, global structural configuration. Coherence, superposition, interference, and entanglement emerge from intrinsic properties of this configuration rather than from temporal processes. The ontology is operationally conservative, preserving the Hilbert‑space formalism, the Born rule, and unitary evolution, while offering a unified structural explanation for nonclassical phenomena. The framework aligns with structural realism, relational interpretations, and timeless formulations of quantum gravity. Limitations and future directions are discussed, including the need for a full mathematical characterisation of the substrate and its integration with emergent spacetime models.In this revision, the sampling density σ is generalized to a full state variable σ(T,ρ,P,t), enabling a unified account of coherence, locality, and emergent time