Quantum Clocks and Geometry: Gravity-inspired tests in finite quantum networks

In general relativity, clocks, moving matter and light respond to one common spacetime geometry. This preprint asks which parts of that agreement small quantum networks can reproduce, separating calculated results from gravitational assumptions supplied to the models. The strongest result is a controlled test of probes reading a prescribed smooth geometry. One lattice Dirac law governs a clock and massive and massless wave packets. Lattice spacing, field variation scale, packet width and box size are varied separately without fitting the readouts. In the smoothest tested field, the clock–speed relation is enclosed within about one percent of its reference value; the inferred force-gradient ratio lies in [1.9399, 2.0619], around the supplied value two. Retaining signed second-order contributions sharpens the force bound without assuming exact state parity. A simpler local lattice law approximates the prepared full state with error bounded by 0.004612 over the tested finite time window. Other calculations retain finite-gap colour-clock transport, entanglement generated through a quantum mediator and exact relations between stabilizer entropies and graph cuts. A trapped-source experiment shows delayed arrival and inward displacement, but its geometry readout remains less well controlled. These separate constructions are not one microscopic theory. The results are reproducible benchmarks for recovering supplied geometry, not a derivation of gravity. Source support stresses, universal coupling, a spatially varying continuum limit and dynamical gravitational equations remain open. The release includes the accessible PDF and matching LaTeX sources, linked to a separate versioned code and evidence archive. AI assistance and the limits of computational review are disclosed.