Grassmann, geometric algebra and cosmology

被引:2
作者
Lasenby, Anthony [1 ,2 ]
机构
[1] Univ Cambridge, Cavendish Lab, Astrophys Grp, Cambridge CB3 0HE, England
[2] Univ Cambridge, Inst Astron, Kavli Inst Cosmol, Cambridge CB3 0HA, England
关键词
Cosmology; Grassmann; geometric algebra; cosmic microwave background; Bianchi models; closed universes; string cosmology; SPACE; INFLATION;
D O I
10.1002/andp.201010412
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Starting with Grassmann's work, a short review is given of the development of 'Geometric Algebra', and the reasons why it is a useful system for describing much of physics. Applications are then discussed in cosmology, including a novel boundary condition for the universe, and efficient ways to encode Bianchi cosmology. Predictions for the Cosmic Microwave Background in such models, and in another area owing much to Grassmann (String Theory), are also discussed. (C) 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
引用
收藏
页码:161 / 176
页数:16
相关论文
共 34 条
[1]  
[Anonymous], 2009, ARXIV09075424
[2]  
[Anonymous], 2003, GEOMETRIC ALGEBRA PH, DOI [DOI 10.1017/CBO9780511807497, 10.1017/CBO9780511807497]
[3]  
[Anonymous], 2012, Clifford algebra to geometric calculus: a unified language for mathematics and physics
[4]   UNIVERSAL ROTATION - HOW LARGE CAN IT BE [J].
BARROW, JD ;
JUSZKIEWICZ, R ;
SONODA, DH .
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 1985, 213 (04) :917-943
[5]  
Baumann D., 2009, Advances in Inflation in String Theory
[6]   A microscopic limit on gravitational waves from D-brane inflation [J].
Baumann, Daniel ;
McAllister, Liam .
PHYSICAL REVIEW D, 2007, 75 (12)
[7]   Markov chain Monte Carlo analysis of Bianchi VIIh models [J].
Bridges, M. ;
McEwen, J. D. ;
Lasenby, A. N. ;
Hobson, M. P. .
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 2007, 377 (04) :1473-1480
[8]  
Clifford W. K., 1878, American Journal of Mathematics, V1, P350, DOI [DOI 10.2307/2369379, 10.2307/2369379]
[9]   Anisotropic, nonsingular early universe model leading to a realistic cosmology [J].
Dechant, Pierre-Philippe ;
Lasenby, Anthony N. ;
Hobson, Michael P. .
PHYSICAL REVIEW D, 2009, 79 (04)
[10]  
Doran C.J.L., 1996, Adv. Imaging Electron Phys, V95, P271