A Unified Cosmological Framework: Primordial Rank-2 Tensor Field Decomposition, Parametric Reheating, and Israel-Stewart Causal Dissipation

Abstract

We present a self-consistent, coordinate-invariant framework that unifies inflation, darkmatter, and dark energy via a single primordial Rank-2 tensor field (Bµν ). By decompos-ing this field into high-frequency (fast) and low-frequency (slow) modes during the post-inflationary epoch, we show that particle production via parametric resonance naturallypopulates a dark matter fluid characterized by bulk viscosity (ζ). Integrating this micro-physical source directly into the second-order Israel-Stewart transport equations guaranteessubluminal causality while offering a simultaneous resolution to the H0 and S8 cosmologicaltensions without fine-tuned vacuum parameters