A Lorentz-equivariant transformer for all of the LHC
SciPost PhysicsWe show that the Lorentz-Equivariant Geometric Algebra Transformer (L-GATr) yields state-of-the-art performance for a wide range of machine learning tasks at the Large Hadron Collider.
Johann Brehmer, Víctor Bresó, Pim de Haan, Tilman Plehn, Huilin Qu, Jonas Spinner, Jesse Thaler
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New mathematical model based on geometric algebra for physical power flow in theoretical two-dimensional multi-phase power circuits. [PDF]
Sci Rep, 2023 Montoya FG +4 more
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Author Correction: New mathematical model based on geometric algebra for physical power flow in theoretical two-dimensional multi-phase power circuits. [PDF]
Sci Rep, 2023 Montoya FG +4 more
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The Symmetric Tensor Lichnerowicz Algebra and a Novel Associative Fourier-Jacobi Algebra
Symmetry, Integrability and Geometry: Methods and Applications, 2007 Lichnerowicz's algebra of differential geometric operators acting on symmetric tensors can be obtained from generalized geodesic motion of an observer carrying a complex tangent vector.
Karl Hallowell, Andrew Waldron
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A signature invariant geometric algebra framework for spacetime physics and its applications in relativistic dynamics of a massive particle and gyroscopic precession. [PDF]
Sci Rep, 2022 Wu B.
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Geometric Error Modeling of 3-DOF Planar Parallel Manipulators Using Conformal Geometric Algebra
MachinesThis paper proposes a geometrically intuitive error modeling method for planar parallel mechanisms (PPMs) based on conformal geometric algebra (CGA). First, the end point of each limb is determined through rotational transformations in geometric algebra.
Huijing Yao, Chenxin Tang, Xinxue Chai
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Correction: Gill, R.D. Does Geometric Algebra Provide a Loophole to Bell's Theorem? Entropy 2020, 22, 61. [PDF]
Entropy (Basel), 2021 Gill RD.
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Quantum Integrable Model of an Arrangement of Hyperplanes
Symmetry, Integrability and Geometry: Methods and Applications, 2011 The goal of this paper is to give a geometric construction of the Bethe algebra (of Hamiltonians) of a Gaudin model associated to a simple Lie algebra.
Alexander Varchenko
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Does Geometric Algebra Provide a Loophole to Bell's Theorem? [PDF]
Entropy (Basel), 2019 Gill RD.
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Evaluating a Semiautonomous Brain-Computer Interface Based on Conformal Geometric Algebra and Artificial Vision. [PDF]
Comput Intell Neurosci, 2019 Ramírez-Moreno MA, Gutiérrez D.
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