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of the algebra of relative space with the even subalgebra of the STA simplifies the transition from relativistic quantities to observables in a given frame. It is
In mathematical physics, spacetime algebra (STA) is the application of Clifford algebra Cl 1,3 (R), or equivalently the geometric algebra G(M 4) to physics. Spacetime algebra provides a "unified, coordinate-free formulation for all of relativistic physics , including the Dirac equation , Maxwell equation and General Relativity " and "reduces ...
3 days ago · Their work suggests that a lightly quantum theory of a black hole in any kind of space-time has a type II algebra. Using that type of algebra to calculate how much the entropy of a black hole changes as matter falls into it, they found that the entropy goes up by a fixed amount, exactly as you’d expect if the black hole emerged from rearrangeable parts, analogous to a gas.
Algebra of physical space. In the Algebra of physical space (APS), also known as the Clifford algebra , the field and current are represented by multivectors. The field multivector, known as the Riemann–Silberstein vector, is and the four-current multivector is using an orthonormal basis .
In mathematics, algebraic spaces form a generalization of the schemes of algebraic geometry, introduced by Michael Artin [1] for use in deformation theory. Intuitively, schemes are given by gluing together affine schemes using the Zariski topology, while algebraic spaces are given by gluing together affine schemes using the finer étale topology.
Nov 9, 2014 · arXiv. Authors: Justin Dressel. Chapman University. Konstantin Bliokh. RIKEN. Franco Nori. RIKEN and University of Michigan. Citations (61) References (253) Figures (1) Abstract and Figures. We...
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