Antimatter as Inverted Density Profile

Building on the Field Intrinsic Gravity Induced Density (FIGID) framework, this paper proposes that matter and antimatter represent complementary field condensation geometries: matter condenses quantum field toward a central point (center-weighted profile), while antimatter condenses field in an outer region surrounding a depleted core (inverted density profile). Both configurations have positive mass, identical charge magnitude, and opposite charge sign. The structural distinction is not a hollow shell enclosing empty space. Both matter and antimatter have field density everywhere. The difference is in the radial distribution: matter concentrates field toward the center; antimatter concentrates field toward the periphery, with correspondingly lower density in the core. The inverted density profile is derived from the FIGID field equation by applying a radial inversion of the depletion parameter, yielding a configuration where the field is enhanced at the particle center and depleted in the outer region — the geometric complement of the matter profile. From this derived configuration, the paper computes the antiproton charge radius (∼1.26 fm, approximately 45% larger than the proton), the elastic scattering form factor (predicting a diffractive minimum near 56° at 1 GeV), and the angular distribution of annihilation photons (predicting ∼30% excess perpendicular to the collision axis). Each prediction is falsifiable with current or planned experiments at CERN. The framework also proposes a geometric mechanism for the observed matter–antimatter asymmetry in the universe: cosmic expansion favors center-weighted condensation over inverted profiles, producing matter dominance without requiring CP violation beyond the Standard Model. A companion paper on the Strong CP problem [10] demonstrates that this geometric distinction naturally produces θ = 0 through field symmetry rather than requiring an axion or other new particle.