Clifford Algebras, Multipartite Systems and Gauge Theory Gravity

Autor:	Trindade, M. A. S., Pinto, E., Floquet, S.
Rok vydání:	2018
Předmět:	Physics - General Physics High Energy Physics - Theory
Druh dokumentu:	Working Paper
Popis:	In this paper we present a multipartite formulation of gauge theory gravity based on the formalism of space-time algebra for gravitation developed by Lasenby and Doran (Lasenby, A. N., Doran, C. J. L, and Gull, S.F.: Gravity, gauge theories and geometric algebra. Phil. Trans. R. Soc. Lond. A, 582, 356:487 (1998)). We associate the gauge fields with description of fermionic and bosonic states using the generalized graded tensor product. Einstein's equations are deduced from the graded projections and an algebraic Hopf-like structure naturally emerges from formalism. A connection with the theory of the quantum information is performed through the minimal left ideals and entangled qubits are derived. In addition applications to black holes physics and standard model are outlined. Comment: 17 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1807.09587 Zobrazit plný text záznamu View this record from Arxiv