Zobrazeno 1 - 10
of 1 137
pro vyhledávání: '"Spacetime algebra"'
We introduce STAResNet, a ResNet architecture in Spacetime Algebra (STA) to solve Maxwell's partial differential equations (PDEs). Recently, networks in Geometric Algebra (GA) have been demonstrated to be an asset for truly geometric machine learning
Externí odkaz:
http://arxiv.org/abs/2408.13619
Publikováno v:
Symmetry 16, 734 (2024)
Alternative mathematical explorations in quantum computing can be of great scientific interest, especially if they come with penetrating physical insights. In this paper, we present a critical revisitation of our geometric (Clifford) algebras (GAs) a
Externí odkaz:
http://arxiv.org/abs/2405.08152
Autor:
Debergh, N., Petit, J. -P.
We consider four subsets of the complexified spacetime algebra, namely the real even part, the real odd part, the imaginary even part and the imaginary odd part. This naturally leads to the four connected components of the Lorentz group, supplemented
Externí odkaz:
http://arxiv.org/abs/2211.07359
Autor:
Hansen, Steen H.
The underlying geometri of spacetime algebra allows one to derive a force by contracting the relativistic generalization of angular momentum, M, with the mass-current, mw, where w is a proper 4-vector velocity. By applying this force to a cosmologica
Externí odkaz:
http://arxiv.org/abs/2106.08951
Autor:
Debergh, N., Petit, J.-P.
Publikováno v:
In Reports on Mathematical Physics April 2023 91(2):165-181
Publikováno v:
Symmetry, Vol 16, Iss 6, p 734 (2024)
Alternative mathematical explorations in quantum computing can be of great scientific interest, especially if they come with penetrating physical insights. In this paper, we present a critical revisitation of our application of geometric (Clifford) a
Externí odkaz:
https://doaj.org/article/e925544a8f624df39f375c815467b99a
Autor:
Hawton, Margaret
The Clifford spacetime algebraic description of Maxwell's equations is reviewed and shown to give a unified picture of recently published versions of photon quantum mechanics. Photon wave equations and a conserved four-current are derived from the co
Externí odkaz:
http://arxiv.org/abs/2011.01068
Autor:
Arcodía, Marcos R. A.
Publikováno v:
Adv. Appl. Clifford Algebras 31, 17 (2021)
Because of the isomorphism ${C \kern -0.1em \ell}_{1,3}(\Bbb{C})\cong{C \kern -0.1em \ell}_{2,3}(\Bbb{R})$, it is possible to complexify the spacetime Clifford algebra ${C \kern -0.1em \ell}_{1,3}(\Bbb{R})$ by adding one additional timelike dimension
Externí odkaz:
http://arxiv.org/abs/2009.03161
Autor:
Wang, Chih-Wei
We provide a method to write down the density operator for any pure state of multi-qubit systems in the multiparticle spacetime algebra (MSTA) introduced by Doran, Gull, and Lasenby. Using the MSTA formulation, we analyze several aspects of quantum m
Externí odkaz:
http://arxiv.org/abs/1804.08375
Autor:
Sobczyk, Garret
This article explores the geometric algebra of Minkowski spacetime, and its relationship to the geometric algebra of Euclidean 4-space. Both of these geometric algebras are algebraically isomorphic to the 2x2 matrix algebra over Hamilton's famous qua
Externí odkaz:
http://arxiv.org/abs/1703.01244