Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-10-05
SIGMA 4:028,2008
Physics
High Energy Physics
High Energy Physics - Theory
This is a contribution to the Proc. of the 3-rd Microconference "Analytic and Algebraic Methods III"(June 19, 2007, Prague, Cz
Scientific paper
10.3842/SIGMA.2008.028
It is proposed how to impose a general type of ''noncommutativity'' within classical mechanics from first principles. Formulation is performed in completely alternative way, i.e. without any resort to fuzzy and/or star product philosophy, which are extensively applied within noncommutative quantum theories. Newton-Lagrange noncommutative equations of motion are formulated and their properties are analyzed from the pure geometrical point of view. It is argued that the dynamical quintessence of the system consists in its kinetic energy (Riemannian metric) specifying Riemann-Levi-Civita connection and thus the inertia geodesics of the free motion. Throughout the paper, ''noncommutativity'' is considered as an internal geometric structure of the configuration space, which can not be ''observed'' per se. Manifestation of the noncommutative phenomena is mediated by the interaction of the system with noncommutative background under the consideration. The simplest model of the interaction (minimal coupling) is proposed and it is shown that guiding affine connection is modified by the quadratic analog of the Lorentz electromagnetic force (contortion term).
No associations
LandOfFree
Noncommutative Lagrange Mechanics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Noncommutative Lagrange Mechanics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Noncommutative Lagrange Mechanics will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-656463