Photon Generation from Vacuum as Spiral Resonance: HLV-Theoretic Interpretation of Vacuum Four-Wave Mixing

We investigate a geometric modification of vacuum four-wave mixing within a scalarmodulated spacetime framework inspired by the Helix–Light–Vortex (HLV) approach. The electromagnetic field dynamics are described using standard quantum electrodynamics supplemented by an effective background modulation parameter ψ, which alters the local coupling structure without introducing new dynamical degrees of freedom. Within this formulation, the effective third-order vacuum susceptibility acquires a weak intensity-dependent correction. Analytical considerations show that this geometric modulation leads to a systematic deviation from the strictly cubic intensity scaling predicted by standard QED for the signal photon yield. In the ultra-intense regime, the resulting scaling follows a modified power law Ns ∝I3+δ, where the exponent δ parametrizes the strength of the geometric phase contribution and vanishes in the recovery limit, restoring the QED result. Secondary signatures, such as weak geometric phase offsets and alignment-stable beam-profile asymmetries, may provide consistency checks. We discuss quantitative criteria for distinguishing this effect from QED and experimental backgrounds using log–log scaling analyses, and we outline the intensity ranges at which such deviations could be constrained at next-generation high-power laser facilities. The results provide a minimal and falsifiable phenomenological extension of vacuum nonlinear optics that sharpens experimental probes of geometric effects in the quantum vacuum.