This is the third paper in the Factorization by Function Zeros (FZF) series. Building upon the structural vacuum gap (Paper I) and the dynamic horizon growth (Paper II), this work investigates the thermodynamic consequences of the discrete causal lattice in the primordial universe. We propose that Early Dark Energy (EDE) is not a new field, but the inevitable thermo-spectral signature of the lattice relaxing toward its ground state. Key Findings: Thermo-Spectral Coupling: We introduce a conformal coupling between the lattice's invariant spectral gap (Δ = 4) and the redshifted background temperature. This defines a universal excitation variable x (z) = β (z) Δ. Universal Kernel: The excitation of lattice modes is governed by the statistical kernel S (x) = x * exp (-x). This function naturally generates a transient peak in dark energy density around matter-radiation equality (z ≈ 3500). Dynamic Shielding & Stiff Restoration: The model predicts a "shielding" regime (w → -1/3) in the remote past, preserving BBN, and a transient "stiff" regime (w > 1) after the peak. This stiff transition forces the abrupt decay of EDE, restoring the standard ΛCDM vacuum without fine-tuning. Resolution of the Hubble Tension: The resulting EDE fraction (fEDE ≈ 5%) is sufficient to reduce the sound horizon and mitigate the H0 tension, offering a structural alternative to axion-like scalar fields.
Warley Rodrigues de Oliveira (Wed,) studied this question.