The Archimedean Quantum Gravity Equation

Gravity in this framework is not curvature, not a field, and not a particle‑mediated force. It is the pressure response of a discrete substrate whose flux is displaced by matter. A mass creates a local pressure deficit; surrounding higher‑pressure regions push inward, producing Archimedean acceleration. The substrate cannot compress below the Planck scale and cannot update faster than tp=Lp/c, so gravitational influence is update‑limited and must be expressed per tick. These constraints force a single gravitational law:

This is the quantum‑gravity equation of the discrete substrate: a finite‑difference pressure‑gradient law that replaces geometric curvature and remains valid down to the Planck length.