Tensor Glueball and Full Spin Structure in History-Dependent Gravity

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 (J^PC=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 M_{2^++} ≈ 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 T_c ≈ 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.