Coupling as a Spectral Geometry of Finite Access

Abstract

A finite measurement of a dimensionless coupling is treated as a contraction of a finite-rank coupling geometry on the observable quotient of a non-invertible access map Π. The symmetric infrared readout is derived with no measured value of α and no adjustable continuous parameter. Its identification with the physical zero-momentum coupling α⁻¹(0) is a constitutive clause, staked in the open, with a printed falsifier. Welding that boundary value to the transported coupling at finite momentum is a separate open gate. This project is a standalone registration of the Reading. It is not the QGT Second Edition corpus. Formal theorem/proof status remains with QGT 2E v1.5.65-MIGRATION under OSF container 10.17605/OSF.IO/VEFP6. Rank-five ownership is upstream of this paper; SVD is a downstream characterisation; the Fibonacci–Mellin transform is a readout language only.