Finite-Arm Phase Transport for Fixed-Ambient Normal-Graph Waves: Conformal Optical Cancellation, Retarded Mirror Motion, and the Exact Single-Bounce Michelson Kernel
Year: 2026
Type: preprint
Abstract: This paper develops the finite-arm interferometric response of fixed-ambient normal-graph waves within the VGM research program. It follows Paper XVIII by extending the long-wavelength scalar tidal correspondence to laser phase transport in an equal-arm, single-bounce, freely falling Michelson interferometer. Within the leading local approximation, the first-order metric perturbation is conformal to the Minkowski metric. Conformal invariance preserves the unparameterized null paths, while the measured phase responds through beam-splitter proper time and the retarded motion of the freely falling endpoints. The normalized single-arm response separates into a common clock contribution and an endpoint-motion contribution. For equal arms, the clock contribution cancels exactly, leaving a differential kernel that is first order in perturbation amplitude and exact in the finite-arm parameter ωL. The analysis recovers the long-wavelength response of Paper XVIII, establishes homogeneous-mode and overhead nulls, exhibits explicit spectral zeros, and demonstrates how finite propagation time lifts one class of long-wavelength angular nulls. An independent synchronous-gauge light-time calculation reproduces the same single-arm kernel and clarifies its relationship to established scalar-wave interferometer response theory. The scope is an ideal theoretical response model. Curved-background corrections, optical cavities, suspension and control dynamics, source excitation, instrument calibration, and observational inference remain separate modeling obligations. No detector-data analysis or detection claim is presented. This deposit contains the English manuscript, revised version 1.1 dated 6 November 2026, its XeLaTeX source, and the accompanying Peaceful Civilian Use Licence. Series: VGM Empirical Correspondence, Calibration, and Falsification Series II — Overall Paper XIX. DOI: https://doi.org/10.5281/zenodo.24021686
Author: SIGERGOK, Hasan
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225418045