2018/07/10 by Marco A. S. Trindade, M. A. S. Trindade, Eric Pinto +6
Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #Clifford algebra #FOS: Physical sciences #Formalism (music) #Gauge theory #General Physics (physics.gen-ph) #High Energy Physics - Theory (hep-th) #Introduction to gauge theory #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Supersymmetric gauge theory #Theoretical physics #hep-th #physics.gen-ph
paper · pdf · doi:10.48550/arxiv.1807.09587
17 pages
openalex publication_date 2018/07/10 · arxiv created 2018/11/16 · arxiv updated 2018/11/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
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.