We demonstrate that in the History-Dependent Gravity (HDG) framework, orbital angular momentum acts as an intrinsic infrared regulator. By analyzing the Bethe-Salpeter equation for the tensor glueball (JPC=2^++), we prove that the collinear logarithmic singularity present in the scalar channel is effectively canceled at the level of the full projected kernel. This spin-dependent mechanism naturally yields a tensor glueball mass of M₂^++ ≈ 2. 38 GeV without introducing phenomenological parameters, in excellent agreement with lattice QCD predictions. Furthermore, extending this regulated kernel to finite temperature reproduces the lattice QCD deconfinement critical temperature Tc ≈ 160 MeV and predicts a sequential melting pattern for glueball states. This work establishes HDG as a robust, predictive tool for non-perturbative gluodynamics and demonstrates the fundamental role of temporal memory in confinement and chiral symmetry breaking.
Alik Gimranov (Fri,) studied this question.
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