A Potential Link Between the Cosmological Constant and the Fine-structure Constant

The age of the universe, about 10$^{60}$ Planck times, makes the spherical radius ($R)$ of its space 10$^{60}$ Planck lengths, as the light moves one Planck length per one Planck time. The fine-structure constant (\textit{$\alpha $}) closely equals the natural logarithm of the square root of the reciprocal of the cosmological constant (\textit{$\lambda $}), making \textit{$\alpha $} $\approx $ ln $\surd $(1/\textit{$\lambda $}), where \textit{$\lambda $} = 1/$ R^{2}$ as originally introduced by Einstein in equation number (14) in his 1917 paper: Cosmological Considerations on the General Theory of Relativity. This confirms the time-dependent variation of fine-structure constant in [1], but does not address the issue of dark energy. While [1] invokes negative entropy (-Q/T), so it also invokes dark energy simply. The problem still remains that no theory, as yet, combines the probabilistic aspect of quantum mechanics with gravity. In the meanwhile, we can link [1] with the quantum information theory as information links to entropy. [1] Goradia S. Preprint at (http://www.arxiv.org/physics/0210040 v3 (Jan 2007).