Differential Time as an Upstream Generative Framework
Year: 2026
Type: preprint
Abstract: This review integrates the Differential-Time (ΔT) program into a single dependency structure spanning relativity, cosmology, galactic dynamics, strong lensing, and strong gravity. The central claim is not merely that several known results can be re-expressed in a different language, but that quantities usually introduced as independent inputs can instead be derived downstream from a common primitive structure. The paper takes ΔT = S − C as the first principle of the framework and follows its consequences across multiple sectors. In the relativistic branch, Lorentz structure, coframe construction, metric generation, curvature, and Einstein dynamics are treated as downstream outputs rather than starting assumptions. In the cosmological branch, the Hubble-side readout closes Ωb, the tracking-plus-flatness branch closes Ωeff and ΩΛ, and their intersection fixes f = Ωeff/Ωb without a fitted junction parameter. In the galactic branch, the SPARC analysis tests whether the dominant mass-discrepancy structure can be reconstructed directly from observed baryons without galaxy-specific dynamical parameters. In the lensing and strong-gravity branches, directional and exterior-geometry constraints are treated in the same dependency logic. The purpose of this integrated review is to make explicit the genealogy that is obscured when the component papers are read separately. Its significance lies in the claim that one framework can force the reappearance of the same structural logic across sectors that are usually treated independently, while reducing rather than increasing upstream freedom. The review is therefore intended not as a neutral survey, but as a unified statement of the derivational architecture of the ΔT framework and of the direct failure conditions attached to each major claim.
Author: Kusaka, Masatomo
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7204245700