From First Principles to a Generalized Helix–Light–Vortex Framework: Quasicrystal Spacetime, Triadic Spiral Time, and a QFT Embedding

We present an extended Helix-Light-Vortex (HLV) framework that unifies its geometric, f ield-theoretic, and cosmological sectors. A quasicrystalline spacetime emerges from a 6D cutand-project construction with a triadic spiral-time field ψ(t) = t + iϕ(t) + jχ(t) controlling projection dynamics. The theory now includes a covariant scalar-gravity action with a time-modulated kinetic prefactor A(t) ≈ 1 + 2ϵsin(ωt) + 2ηcos(ωχt) (with |ϵ|,|η| ≪ 1 in the perturbative regime), leading to modified Friedmann equations, stability criteria, and linear-perturbation structure. Recovery limits reduce continuously to GR and QFT for ϵ, η → 0. Background fits to SN Ia, BAO, and CMB distance priors demonstrate viability and define falsifiable parameter ranges. The unified model links spiral-time geometry with measurable effects such as King-plot nonlinearity, CMB low-ℓ modulation, and spin-resonant gravimetry signatures.