The Integrated Thermo-Gravitational Criterion (CTGI): Energy-Based Mapping of Emergent Gravitational Geometry

Description The Integrated Thermo-Gravitational Criterion (CTGI) is an energy-based conceptual and computational framework for mapping the emergent geometry of gravitational space. Instead of starting from mass as a primary quantity, CTGI uses directly observable physical parameters—such as temperature and radiative emission—as proxies for local energy density, constructing an effective energetic potential whose spatial gradients define a gravitational topology. The method produces normalized three-dimensional maps of gravitational space, revealing wells, ridges, channels, and local equilibrium regions. These maps provide an intuitive geometric representation of gravitational structure, making visible features that are usually accessible only through abstract tensorial formulations. CTGI does not replace General Relativity nor solve Einstein’s field equations. It operates in the weak-field, semiclassical regime as a complementary tool for rapid exploration, visualization, and pre-analysis of complex multi-body systems. Regions identified as structurally relevant can subsequently be studied using full relativistic methods. The framework is accompanied by a high-level conceptual language (GHL – Gravitational High-level Language) designed to organize physical intent, guide computation, and support reproducibility without constraining implementation. CTGI is intended as a methodological bridge between observation, energy-based reasoning, and geometric interpretation, offering a fast and visually driven approach to the study of gravitational structures.