A Geometric Interpretation of One–Dimensional Anyons via Memory–Modulated Exchange Phases: A Conceptual Mapping within the Helix–Light–Vortex Framework

Recent work has demonstrated that identical particles in one spatial dimension can exhibit continuously tunable exchange statistics, extending the conventional boson–fermion dichotomy. These one–dimensional (1D) anyons are described within rigorously defined many–body models and display universal high–momentum tails whose leading coefficients depend on the statistical parameter. In this article, we present a conceptual and geometric interpretation of these results within the Helix–Light–Vortex (HLV) framework. We do not propose a competing microscopic theory and we do not modify established Hamiltonians. Instead, we provide a mapping in which the tunable exchange phase can be interpreted as a memory–modulated effective statistics parameter inspired by the triadic spiral–time structure of HLV. The manuscript is intentionally positioned as an interpretive bridge between established 1D anyon theory and a geometric spacetime language. All HLV–related elements are explicitly marked as hypotheses. No experimental validation, benchmarking, or performance claims are made.