The QCD Scale from Holographic Information Capacity

This paper explores a possible connection between the smallest and largest physical scales in the universe. It proposes that the characteristic energy scale of the strong interaction (the QCD scale) is not an independent constant, but may be determined by the total information capacity of the observable universe. Within the Gradient Entropy Principle (GEP), spacetime geometry emerges from gradients of an information field, and the cosmological constant can be expressed in terms of the holographic information bound of the universe. From this framework a simple scaling relation is derived that links the Planck scale, the cosmological constant, and the QCD confinement scale. The same geometric structure also provides approximate relations for the electron mass and suggests a unified hierarchy of physical scales determined by the dimensionality of space.