A generalization of Jaynes' principle: an informationtheoretic interpretation of the minimum principles of quantum mechanics and gravitation
Abstract
By considering the "kineticenergy" term of the minimum principle for the Schrödinger 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 quantummechanical 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 nonRiemannian nonEuclidean spaces, which leads to novel field equations for the torsion.
 Publication:

arXiv eprints
 Pub Date:
 January 2000
 DOI:
 10.48550/arXiv.mathph/0001028
 arXiv:
 arXiv:mathph/0001028
 Bibcode:
 2000math.ph...1028V
 Keywords:

 Mathematical Physics;
 Mathematics  Mathematical Physics;
 94A17;
 83C99