Force, Work, Stress, and Delta-f Elasticity in USP Field Theory: A Calibrated Bridge from Momentum Transfer and Energy Landscapes to Continuum, Field, Relativistic, and Resonance-Geometry Dynamics (msf:48220 v2.0)

This document reconstructs msf:48220 as the canonical force-and-energy foundation of USP Field Theory. Version 2.0 provides an exact operational domain for the corridor work relation. For a declared path of length l_gamma, the work identity W = integral(F . dx) implies an average tangential force F_parallel = W / l_gamma. The energy-length quotient is established as a path-averaged work measure rather than a universal definition of the full three-dimensional force vector. Impulse, stress, pressure, torque, power, momentum flux, potential gradients, and dissipative forces remain distinct physical quantities. The USP contribution is reformulated through a calibrated mismatch energy landscape. A measurable mismatch proxy Delta f_p is normalized by a declared bandwidth or reference scale, yielding a dimensionless coordinate zeta_f = (Delta f_p - Delta f_ref) / Gamma_f, which enters an effective energy functional U(zeta_f). Generalized forces follow directly from differentiation, Q_a = -dU / dq_a. This construction preserves energy conservation, separates conservative storage from damping and external drive, allows anisotropic stress, and prevents a scalar mismatch variable from replacing vector or tensor field structures. The document integrates the loading-locking-release framework, finite-contact impulse, stress-wave transfer, pathway-shadow gravity, tensor gravitational-wave guardrails, detector kernels, thermal energy ledgers, coherence metrics, uncertainty propagation, held-out validation, and ten predeclared falsification criteria. Unsupported v1.1 elements--including universal mc^2 / l_corr scaling, phenomenological relativistic growth factors, fixed 10^19 Hz collapse thresholds, and automatic coherent N-fold force scaling--are explicitly removed. The result is a professional mechanics-to-resonance bridge in which USP language is measurable, dimensionally closed, conservation-respecting, and explicitly subordinate to established physical baselines.