Return Theory (RT): Sampled Reference Loops Sector Connection — Record Rate, Reconstructed Holonomy and Geometric Phase

This technical note instantiates RT Foundations 1.0.0 for sampled reference loops, with complete record, clock, reference, carrier and observable declarations. Its unchanged hosts are special-relativistic motion and filtered qubits. Twenty-five mathematical entries and twelve host-law consequences include regular and nonuniform polygon holonomy, optimal uniform sampling, refinement and error certificates, exact weak-filter amplitudes, a single-crossing threshold and proved second-order expansion, record-visibility bounds, coherent channel completion, passive Jones synthesis, interval-certified joint strength/dephasing domains, a separately labelled sampled operating map for experimental design, and alias fibres that can survive a terminal gyroscope readout. Three prospective protocols validate declared host implementations and calibrations. The discriminating RT-connection class is explicitly empty. The package includes complete proofs, LaTeX, operators, reproducible computations, outward interval arithmetic, regression tests, generated tables and figures, boundary declarations B1-B10, a machine-readable result ledger, source provenance, environment lock and complete distributed-file checksums. No observational likelihood or experimental dataset is claimed.