The Structure of Dynamic Gravity: Propagation of Minimal-Length Expansion and Contraction

The Structure of Dynamic Gravity: Propagation of Minimal-Length Expansion and Contraction This paper develops a discrete, source‑based framework for dynamic gravity by examining how temporal changes in the minimal length propagate through space. Building on Papers A–D, where static gravity was shown to arise from the spatial extension of the minimal length, this work extends the theory to time‑dependent situations in which matter moves, densities evolve, and the minimal length undergoes expansion and contraction. The time variation of the minimal length modifies the local update density and induces fluctuations in the temporal structure. These changes propagate to neighboring regions not as continuous waves but as chains of discrete updates—“update waves.” This propagation naturally includes intrinsic fluctuations, providing a structural origin for quantum‑like behavior without invoking external randomness. Dynamic gravity is thus interpreted as the propagation of temporal variations in the minimal length, observed as time‑dependent delays in photons, small fluctuations in orbital motion, and wave‑like signals analogous to gravitational waves. While the observational signatures resemble those predicted by general relativity, the underlying mechanism is fundamentally discrete. This paper establishes the dynamic extension of the minimal‑length framework and provides the conceptual foundation for Paper F, where the continuous limit and equation‑based formulation of these fluctuations will be developed.