Spiral-Time-Induced Toroidal Resonances as an Explanation for Jet-Quenching Anomalies in the Quark-Gluon Plasma

This paper proposes a novel explanation for jet-quenching anomalies observed in heavy-ion collisions at LHC energies by introducing a time-modulated extension of conventional QCD dynamics through the concept of Spiral Time. The framework models the quark-gluon plasma (QGP) as a toroidally-resonant medium, where the time evolution of jet energy loss is affected by periodic modulations originating from a higher-dimensional geometric structure. These spiral-time-induced fluctuations result in non-linear contributions to the jet transport coefficient q^(t)\hat{q}(t)q^(t), leading to measurable deviations in jet suppression patterns, angular broadening, and hadronization observables. The model integrates an additional scalar field σ(t)\sigma(t)σ(t), representing transient vacuum polarization, and provides analytical expressions for the total radiative energy loss ΔEtot\Delta E_{\text{tot}}ΔEtot. Key experimental predictions include oscillatory structures in RAAR_{AA}RAA, distinctive grooming distributions, and anomalous substructures in Lund planes. This work offers a geometry-driven, non-perturbative enhancement to QCD phenomenology and introduces a testable path to understanding the microphysical structure of spacetime within extreme matter conditions.