ΔΦ LAW OF TETRAQUARK STRUCTURE v2.0 Electrostatic Field Geometry of Multi-Quark Binding States

Title:ΔΦ Collapse Geometry of Four-Vector Quark States (Tetraquarks) – A Field-Based Reinterpretation of Heavy Particle StructureVersion 2.0Author:Thomas S. Mitchell Sr.Abstract:This paper reinterprets the phenomenon of tetraquarks—four-quark composite states—through the electrostatic framework of the Mitchell Equation (ΔΦ = ρ × v). Rejecting the metaphysical assumptions of Big Bang conditions and unobservable gluon mediation, the paper presents tetraquark formation as the result of geometric convergence within a curved field of electrostatic tension. Each quark acts as a localized charge density vector (ρ), and their braided motion (v) converges into a confined ΔΦ well, forming a self-stabilizing cluster defined by field equilibrium, not statistical probability. This model restores physical causality, replaces color charge abstraction with gradient topology, and collapses exotic matter states into understandable architecture within a field-based universe. Spin, mass, and decay behavior of X(6600), X(6900), and X(7100) align precisely with predicted standing wave harmonics in four-body ΔΦ tension wells. This is not emergence—it is symmetry resolution.Keywords:Mitchell Equation, tetraquarks, ΔΦ collapse, quark geometry, electrostatic confinement, four-body particle dynamics, field tension topology, quantum structure, exotic hadrons, ΔΦ = ρ × v