Fields from Finite Access: The Common Origin of the Gauge and Gravitational Readouts in the Quantum Gauge Theory of Time

Abstract

This paper develops the field-response sector of the Quantum Gauge Theory of Time (QGT) from a conserved dynamics observed through a finite-rank, non-invertible access. The exact accessible/retained split produces a retarded self-energy and memory kernel, while the Majorana formulation yields an induced Pfaffian functional whose variations define the physical response. Multiple accesses probe the same retained dynamics through a matrix self-energy, and the second variation of the induced functional provides a common response tensor from which electromagnetic, gravitational, electroweak and Yang–Mills structures are obtained under explicitly stated hypotheses. The paper establishes the common response mechanism while keeping the remaining physical identifications — including absolute scale, hypercharge realisation and coupling welds — explicitly open.