An Experimental Proposal for the Validation of Geometric Particle Models within the Helix–Light–Vortex (HLV) Theory

The Helix–Light–Vortex (HLV) theory proposes that elementary particle properties emerge from resonant phenomena in a helically modulated field embedded in a discrete, quasicrystalline spacetime lattice. This paper presents an experimental proposal to test core geometric-resonance postulates of HLV using analog quantum simulations implemented in optical lattices and time-crystal architectures. The primary targets are Single-Cell Resonance (SCR) for lepton-like localized modes and Tri-Cellular Coupling (TCC) for hadron-like three-site coupled states. An intermediate two-cell sector is included as a spinor-doublet control, testing rank-2 boundary-mode coherence and relative-phase stabilization without interpreting the two-cell state as a hadron-like bound state. Recent experimental realizations of dynamically reconfigurable aperiodic photonic lattices and quantum fluids of light [9] provide a timely platform for exploring controlled excitations in geometrically engineered environments, offering an experimentally accessible route to probe discrete spacetime models. The proposed experiments generate clear, falsifiable predictions: SCR should manifest as an enhanced lifetime of a single localized resonance under helically polarized driving, the two-cell sector should exhibit relative-phase or doublet-coherence signatures if rank-2 boundary-mode physics is present, and TCC should yield stable three-site coupled states that mimic hadronic binding within the HLV framework. These outcomes can be measured with established spectroscopic, site-resolved, and lattice-control techniques. Successful observations would support the possibility that particle-like properties can arise from resonant, geometry-induced states, while null results would impose strong constraints on geometric emergent-particle models.