  By considering the "kinetic-energy" term of the minimum principle for the
Schr\"{o}dinger equation as a measure of information, that minimum principle is
viewed as a statistical estimation procedure, analogous to the manner in which
Jaynes ({\it Phys. Rev.},{\bf 106}, 620, 1957) interpreted statistical
mechanics. It is shown that the entropy formula of Boltzmann and Jaynes obey a
property in common with the quantum-mechanical kinetic energy, in which both
quantities are interpreted as measures of correlation. It is shown that this
property is shared by the key terms in the minimum principles of relativistic
quantum mechanics and General Relativity. It is shown how this principle may be
extended to non-Riemannian nonEuclidean spaces, which leads to novel field
equations for the torsion.
