This repository presents the Temporal Vacuum Coupling Framework (TVCF), a phenomenological extension of MOND-like galactic dynamics incorporating non-local gravitational corrections sensitive to spatial variations of the baryonic field. The framework introduces a non-local operator that encodes structural information through gradients of the Newtonian acceleration. This leads to systematic, structure-dependent deviations from purely local scaling relations, offering a possible explanation for residuals in galactic rotation curves and the radial acceleration relation. The project includes: - A core theoretical formulation of the non-local operator- Empirical analysis using SPARC galaxy data- Predictions for rotation curves, dispersion, and structural correlations- Effective density interpretation mimicking dark matter behavior- Gravitational lensing analysis in a weak-field approximation- A hybrid cosmological model combining CDM and TVCF effects- Preliminary steps toward relativistic and action-based formulations Important notes: - TVCF is presented as a phenomenological and exploratory framework, not a complete fundamental theory- It does not replace cold dark matter, but may contribute effective corrections in non-linear regimes- A full covariant formulation and cosmological validation remain open problems Previous exploratory developments related to dark sector phenomenology and inflationary cosmology: - https://doi.org/10.5281/zenodo.19700350- https://doi.org/10.5281/zenodo.19700621 The goal of this work is to explore whether spatial structure in the baryonic field plays a systematic role in galactic dynamics beyond purely local gravitational models.
Edo Ram (Thu,) studied this question.