Ontology V8.2:An Effective Model of Spacetime Granularity

Within the Lorentz-transformation framework of special relativity, and with an additional time-quantization assumption (dt=tP), this paper solves back for the minimal spatial granularitydx(v)=1-√1-v²/c²v√ G/c.This formula simultaneously contains the quantum constant , the gravitational constant G, and the speed of light c, and gives the continuous variation of the spacetime granularity with the object's velocity v: at low speed dx→0 (spacetime approaches continuity), and at the speed of light dx→ lP (the Planck-length upper bound). Under this additional assumption, the paper shows: (1) this granularity can serve as a physical ultraviolet cutoff Λeff=1/dx(v), rendering loop integrals finite at that cutoff; (2) after introducing a dynamic gravitational constant Geff(D), the modified field equations reduce to general relativity at low energy; (3) in the semiclassical limit the form Gμν=8π Geff Tμν is formally recovered; (4) in the WKB approximation, using the D field as an internal clock formally recovers time-dependent evolution. The paper constructs a self-consistent effective model, rather than a complete quantum-gravity theory derived from first principles.