In this paper the aging of the Universe is investigated in the frame of quantum hyperbolic heat transport equation. For the open universe, when t → ∞, ¯ h → ∞, c → 0 and fine structure constant, α, is constant. PACS98.80.Bp Origin and formations of the Universe PACS98.80Cq Particle-theory and field theory models of the early Universe (including cosmic pancakes, chaotic phenomena, inflationary u...