Lorentz–Scale–Phase–Flux Transfer Framework: From Four-Momentum Representation to Modular Closure and a MOND-Like Acceleration Response

This work develops the Lorentz–Scale–Phase–Flux Transfer (LSPF) framework as a Minkowski-space spinor transfer construction exploring a possible mathematical bridge between four-momentum representation and local geometric response. A local transfer is defined by , with , yielding the global algebraic lift . A constant scale factor therefore produces only a bilinear magnitude lift and does not by itself imply physical expansion, measurable flux, or quantum-level splitting. The associated Maurer–Cartan transfer connection decomposes into Lorentz-spin and scale-phase sectors, with ; for smooth single-valued , this kinematic connection is locally flat, so nonzero dynamical curvature requires additional non-integrable structure. Modular forms are introduced as a candidate internal closure map for the non-Lorentz transfer coordinates, while a scale-length invariant supplies a separate compatibility condition. A Lamb-shift projection test shows that a constant scalar transfer cannot split a degenerate subspace; splitting requires a nontrivial projected operator. The framework is presented as a falsifiable transfer organization, not as a replacement for general relativity or quantum electrodynamics. In the weak-field first-order limit, the resulting LSPF acceleration shift can be written in a response-function form structurally analogous to MOND phenomenology, without yet deriving a MOND acceleration scale or interpolation law.