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This manuscript presents a fully self-contained experimental program to test the core predictions of the Helix–Light–Vortex (HLV) framework, a geometric extension of spacetime modeling based on a six-dimensional quasicrystal with triadic spiral time. The paper defines all necessary theoretical background to interpret the experiments, specifies four complementary laboratory platforms (solid-state time-quasicrystal spectroscopy, cold-atom interferometry, isotope-shift spectroscopy, and cavity searches), and provides quantitative observables, falsification criteria, and implementation roadmaps. The proposed tests are directly actionable with current technology and are designed to decisively confirm or refute the geometric particle hypothesis of HLV. No prior knowledge of HLV is assumed; references to foundational derivations are included for completeness.