Scale-Invariant Phase Space and the Conformal Group

James Thomas Wheeler, Utah State University

Article comments

Published by World Scientific The seventh Marcel Grossmann meeting on recent developments in theoretical and experimental general relativity, gravitation, and relativistic field theories: 6th Marcel Grossmann meeting : Papers. Author deposited preprint in arXiv.org, which is available for download through link above.

Abstract

The gauge bundle of the 4-dim conformal group over an 8-dim base space, called biconformal space, is shown have a consistent interpretation as a scale-invariant phase space. Specifically, we show that a classical Hamiltonian system generates a differential geometry which is necessarily biconformal, and that the classical Hamiltonian dynamics of a point particle is equivalent to the specification of a 7-dim hypersurface in flat biconformal space together with the consequent necessary existence of a set of preferred curves. The result is centrally important for establishing the physical interpretation of conformal gauging.