This manuscript formulates a universal source theory that embeds vacuum states, macroscopic matter, and biological systems into a single stress-energy architecture. It demonstrates mathematically that literal antigravity is not a generic property of ordinary matter. Instead, repulsive gravitational response is rigorously defined as the negative-active-density projection of the total stress-energy source. The theory is developed across five formal layers: Covariant Decomposition: Establishes a universal source law, defines the active-source scalar, and constructs an antigravity-output functional. Modified Cosmology: Derives a cosmological model that explicitly separates attractive and repulsive physical sectors. Scalar-Field Realization: Models the repulsive sector using a scalar field to derive explicit accelerated solutions, including vacuum and constant-equation-of-state scenarios. Operator-Theoretic Framework: Frames the source splitting as a spectral projection of a signed multiplication operator, which is then lifted into a Fredholm-resolvent framework with compact perturbations and stable spectral subspaces. Biological Systems: Classifies living organisms as nonequilibrium stress-energy throughput systems, proving that their organized source content remains nontrivial while their leading-order antigravity output strictly vanishes. By enforcing natural units globally, the result is a unified cosmology and operator theory that eliminates the conflation of inertia, matter, biological life, and repulsive gravitation. The framework also provides an autonomous, dimensionless dynamical system formulated for immediate numerical integration.
Andrew Kim (Fri,) studied this question.