Tareq Gravity Model (TGM): A Scalar–Tensor Modified Gravity Framework for Screening, Galactic Dynamics, and Cosmic Acceleration

Tareq Gravity Model (TGM) is a scalar–tensor modified gravity framework that introduces an environmental dependence on both matter density and spin-density (“holes”). In this model, rapidly rotating astrophysical systems generate curvature wells that shift the scalar field’s effective potential, modifying its mass and gradient. This mechanism provides a unified explanation for: environmental screening (Solar-System consistency) flattened galaxy rotation curves (without dark matter) late-time cosmic acceleration (without dark energy) The formulation expands on classical scalar–tensor theory by adding a novel spin-density coupling term. This produces long-range scalar effects in low-density, high-spin environments—such as galactic outskirts—while keeping the scalar field heavy and suppressed in dense regions. A toy-model rotation curve demonstrates the model’s ability to generate asymptotically flat velocity profiles. The work explores the physical interpretation, key equations, screening behavior, and cosmological implications of the TGM framework. DOI: 10.5281/zenodo.17661542Author: MD Tareq Siddiquie