3 papers
math-ph2000
Non-linear connections on phase space and the Lorentz force law
John H. van Drie
The equations of parallel transport for a non-linear connection on phase space are examined. It is shown that, for a free-particle Lagrangian, the connection term first-order in mo…
math-ph2000
A generalization of Jaynes' principle: an information-theoretic interpretation of the minimum principles of quantum mechanics and gravitation
John H. Van Drie
By considering the "kinetic-energy" term of the minimum principle for the Schrödinger equation as a measure of information, that minimum principle is viewed as a statistical estima…
math-ph2000
The Boltzmann/Shannon entropy as a measure of correlation
John H. Van Drie
IIt is demonstrated that the entropy of statistical mechanics and of information theory, may be viewed as a measure of correlation. Given a proba…