States of Matter as Multiscale Delta-f Order Regimes in USP Field Theory: Phase-Specific Order Parameters, Boundary Locking, Network Persistence, and Operational Tests

This document is a foundation-level reconstruction of msf: 48470. The earlier version organized solids, liquids, gases, and plasmas along a single decreasing coherence scale. That picture was useful as an introduction, but it was too simple to describe the full variety of material phases. A glass can be rigid without crystalline order. A liquid crystal can preserve orientational order without full positional order. A liquid can retain strong local coordination while continuously changing its network. A plasma can lose neutral molecular locking while developing strong collective electromagnetic coherence. Version 2. 0 therefore replaces the universal phase ladder with a multivariable phase-state vector: Qₛtate = (Qₚos, Qₒr, Qconn, Pₗock, Rₛhear, D*, xᵢon, Qcoh) where: Qₚos represents positional order. Qₒr represents orientational order. Qconn represents local interaction-network connectivity. Pₗock represents persistence of network identity. Rₛhear represents static or low-frequency shear support. D* represents normalized mobility or diffusion. xᵢon represents ionization fraction. Qcoh represents phase-specific collective coherence. The central USP interpretation is that a material phase is an observation-scale regime of boundary compatibility, network persistence, mobility, mechanical response, ionization, and collective behavior. A solid is not simply a low-Delta-f material. It is a system whose relevant constraints remain connected long enough to support static shear. A crystal combines persistent constraints with repeating positional order. A glass is rigid because its nonperiodic network relaxes more slowly than the observation time. A liquid maintains local coordination while continuously renewing its neighbors and losing static shear over long times. A gas is sparse and collision-dominated. A plasma is ionized and must be described through screening, collective electromagnetic modes, ionization fraction, and coupling strength rather than as repeated failed molecular locking. Liquid crystals, supercritical fluids, and quantum-coherent phases occupy additional regions of the same state space and cannot be placed on one simple solid-to-plasma coherence ranking. The document introduces a channel-specific boundary-locking language. For a declared physical interaction channel, neighboring units are assigned a compatibility weight based on mismatch, tolerance bandwidth, angular alignment, separation, energy difference, and measured persistence time. The full state vector is preferred over a single universal phase score. A scalar score may be used only for a clearly defined classification task, with predeclared weights, uncertainty, independent calibration, and testing on withheld conditions. Water freezing is used as the canonical molecular example. Each water molecule retains two hydrogen donor directions and two oxygen or lone-pair acceptor directions. During freezing, the molecule does not reverse its donor or acceptor identity. Instead, cooling narrows angular and mismatch variance, increases hydrogen-bond lifetime, and permits a persistent four-neighbor tetrahedral network to form. The resulting open ice Ih network explains the lower density of ice relative to liquid water. Its familiar sixfold symmetry is the basal-plane expression of the extended ice lattice and does not mean that each water molecule forms six hydrogen bonds. The document also defines experimental tracks for synchronized structural, spectroscopic, mechanical, transport, calorimetric, plasma, pressure-driven, glass-transition, and water-nucleation measurements. Support for the USP translation requires more than reproducing a known phase trend. A predeclared state-vector model must improve a withheld prediction beyond the relevant standard theory. Non-replacement statement This work does not replace equilibrium or nonequilibrium thermodynamics, statistical mechanics, quantum chemistry, molecular dynamics, crystallography, condensed-matter physics, rheology, kinetic theory, plasma physics, standard many-body quantum theory, or measured phase diagrams. Temperature, pressure, chemical potential, entropy, enthalpy, free energy, composition, external fields, observation time, and rate history remain the primary experimental variables. USP Field Theory is presented here as a geometry-first and network-based translation layer. It is acceptable only when it preserves established results and demonstrates additional, transferable predictive power.