USP Field Theory: A Unified Resonance Geometry Framework Based on Δf Dynamics

Foundation Edition v1.0 (2026) USP Field Theory is presented as a resonance-geometry interpretation layer that remains compatible with established physical laws while providing a mechanism-level description of structure, interaction, and transition across physical systems. This foundation paper introduces the frequency mismatch parameter Δf as a central control variable governing stability, coherence, and structural change. It defines the core vocabulary of resonance corridors, coherence, field tension, corridor accessibility, and Δf thresholds, while mapping these concepts to measurable proxies such as spectral detuning, linewidth broadening, phase delay, relaxation time, interferometric shifts, and coherence metrics. The document consolidates the modern USP framework into a single canonical foundation edition. It treats matter, bonding, states of matter, light–matter interaction, force, gravity, Planck-scale saturation, cosmology, neutron-like dark Δf clusters, collider-scale reconfiguration, and black-hole terminal resonance geometry as connected expressions of the same resonance-based principle: Dynamics ∼ −∇(Δf) Rather than replacing quantum mechanics, relativity, thermodynamics, optics, or nuclear physics, USP Field Theory is framed as an interpretive and operational mapping that preserves established equations while proposing a common geometric mechanism beneath them. The paper emphasizes testability and reproducibility. It includes falsifiable prediction pathways, measurement proxies, experimental reporting standards, null-result criteria, and companion-document references for detailed derivations and domain-specific applications.