A quasi-static lapse-based model for the low-redshift Hubble diagram and its redshift-drift signature

This record contains the preprint of “A quasi-static lapse-based model for the low-redshift Hubble diagram and its redshift-drift signature.” The manuscript presents a general-relativistic, scale-free reconstruction of the low-redshift luminosity–distance relation using Pantheon(+) Type Ia supernovae, without assuming an expanding Friedmann–Lemaître–Robertson–Walker geometry. Instead, the analysis considers whether a smooth lapse structure in a static, spherically symmetric metric can reproduce the observed curvature of the Hubble diagram while preserving the standard Einstein field equations.

The work develops a fully kinematic mapping between redshift and distance, reconstructs the lapse profile directly from the shape of the supernova Hubble diagram, and compares the result with a minimal quasi-static extension that produces a definite redshift-drift signal. This record includes the manuscript PDF and the associated LaTeX source files. All derivational identities used in the analysis are documented in companion theory notes (TFH Path A, Path B, and Path A2), also available on Zenodo.

This version corresponds to the submission of the manuscript to General Relativity and Gravitation.