alexa Ergodic Theory and the Structure of Non-commutative Space-Time
ISSN: 2090-0902

Journal of Physical Mathematics
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Research Article

Ergodic Theory and the Structure of Non-commutative Space-Time

Wang CHT*, James Moffat J and Oniga O

Department of Physics, University of Aberdeen, King’s College, UK

*Corresponding Author:
Wang CHT
Professor, Department of Physics
University of Aberdeen, King’s College, UK
Tel: 5454461
E-mail: [email protected]

Received Date: May 09, 2017; Accepted Date: May 26, 2017; Published Date: May 31, 2017

Citation: Wang CHT, James Moffat J, Oniga O (2017) Ergodic Theory and the Structure of Non-commutative Space-Time. J Phys Math 8: 229. doi: 10.4172/2090-0902.1000229

Copyright: © 2017 Wang CHT, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.



We develop further our fibre bundle construct of non-commutative space-time on a Minkowski base space. We assume space-time is non-commutative due to the existence of additional non-commutative algebraic structure at each point x of space-time, forming a quantum operator ‘fibre algebra’ A(x). This structure then corresponds to the single fibre of a fibre bundle. A gauge group acts on each fibre algebra locally, while a ‘section’ through this bundle is then a quantum field of the form {A(x);x∈M} with M the underlying space-time manifold. In addition, we assume a local algebra O(D) corresponding to the algebra of sections of such a principal fibre bundle with base space a finite and bounded subset of space-time, D. The algebraic operations of addition and multiplication are assumed defined fibrewise for this algebra of sections


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