Gravitational Field Measurements (Energy Based)

This paper presents a fundamental reformulation of gravitational field theory based entirely on the stress-energy tensor, eliminating mass as a required source of curvature. By rigorously deriving gravitational field equations from non-mass-based energy interactions, this framework introduces spacetime elasticity as the natural response of spacetime to the presence of a gravitational field, rather than a separate contributor to curvature. The study systematically:Deconstructs the stress-energy tensor to identify the energy flow, pressure, and anisotropic stress terms that drive gravitational effects.Modifies the Einstein field equations to incorporate spacetime elasticity as a field reaction rather than an independent curvature generator.Derives the gravitational energy density function ugu_gug from first principles, tying it directly to the spatial stress-energy and tidal tensors.Introduces correction factors β\betaβ and γ\gammaγ, naturally emerging from tensor-based scaling laws without fine-tuning.Incorporates frame-dragging and rotational effects through modified Kerr metric terms, ensuring full compatibility with energy redistribution in rotating systems. Unlike conventional models that rely on empirical adjustments such as dark matter, inflation, or a cosmological constant, this work presents a predictive, first-principles framework where gravitational field strength arises naturally from energy interactions, without requiring free parameters or fine-tuning. By extending General Relativity through a purely energy-based perspective, this paper offers a new approach to gravitational field measurement, spacetime structure, and energy distribution across cosmological scales.