USP Field Theory: Meson Knot Collapse, Heavy Quark Core Formation, and Heavy Proton Expansion (v1.2) msf:49135

This work presents a unified geometric–resonance interpretation of hadronic outcomes in high-energy collisions within the USP Field framework. Instead of treating mesons, heavy-quark baryons, and proton-like states as fundamentally distinct categories, the model describes them as different structural branches emerging from a common oscillatory field under varying resonance mismatch conditions. The central control parameter is the normalized detuning: χ (r) = Δf / f (r) where Δf represents the local resonance mismatch and f (r) encodes the intrinsic scale-dependent oscillation frequency. Three distinct formation regimes are identified: High-detuning regime (χ > χc): Localized collapse produces compact knot-like structures corresponding to mesons. These states are characterized by strong confinement, minimal spatial extent, and rapid decay times. Intermediate regime (χ ≈ χc): Energy partially redistributes while maintaining a compact core, leading to heavy-quark baryons such as Ξcc⁺. These structures exhibit a dense central locking region with limited expansion and lifetimes consistent with heavy-flavor decay channels. Low-detuning regime (χ < χc): Energy distributes across multiple coherent nodes, producing expanded proton-like configurations (“heavy proton expansion”). These states maintain stability through geometric support rather than extreme confinement. A key clarification is that χ is a local branch-selection variable, not a direct substitute for total collision energy. High center-of-mass energy collisions can simultaneously produce multiple local regimes due to fragmentation and uneven stress distribution in the field. To make the framework testable, the paper maps each structural branch to measurable collider observables, including: Effective radius (Rₑff) via femtoscopy (ALICE) Transverse momentum width (σₚT) scaling with node number Two-particle correlation strength (coherence suppression) Core energy density signatures in heavy baryon reconstruction (LHCb) A phenomenological scaling relation is proposed: σₚT ∝ N^ (1/2) where N represents the effective number of coherent nodes in expanded states. This provides a geometric alternative to thermal flow interpretations commonly used in high-multiplicity events. A minimal dynamical model based on coupled nonlinear oscillators is also introduced to demonstrate how varying Δf naturally leads to collapse (localized modes) or expansion (multi-node modes), offering a reproducible pathway from qualitative theory to quantitative prediction. The framework is positioned as an operational reinterpretation aligned with Quantum Chromodynamics (QCD), where: Confinement ↔ geometric support under high detuning Hadronization ↔ reconfiguration into low-Δf stable modes Diquark structures ↔ core locking mechanisms Recent experimental observations such as the Ξcc⁺ baryon are naturally accommodated as intermediate-regime realizations, reinforcing the predictive structure of the model.