Emergent Geometric Response in UFT: A Bounded Interface Programme for General Relativity and Quantum Field Theory

Abstract

This article develops a bounded interface programme for assessing whether Unified Flow Theory (UFT) could recover, reduce to, or differ from general relativity (GR) and quantum field theory (QFT). It distinguishes the generic UFT Geometry response (G) from a spacetime metric (g_{\mu\nu}) and from the Einstein tensor, requiring any proposed relationship to be supplied through a typed map with a declared domain. Separate recovery contracts are specified for GR and QFT, covering state spaces, gauge structure, covariance, conservation, degrees of freedom, constants, observables, controlled limits, and error bounds. The historical UFT argument concerning curved-vacuum instability is audited as a conditional and presently incomplete argument. The article contributes a typed burden matrix, mapping-record standard, comparative rival classes, and explicit failure conditions. It does not derive GR or QFT, establish a common-limit theorem, prove curved-vacuum instability, or report a novel empirical result.