LAUSR

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 (Philos Trans R Soc Lond A 582:356–487, 1998). We associate the gauge fields with a 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 quantum information theory is performed through the minimal left ideals and entangled qubits are derived. In addition, applications to black holes physics and standard model are outlined.