Results 71 to 80 of about 386 (180)
Modular intersections, time interval algebras and emergent AdS2
Journal of High Energy PhysicsWe compute the modular flow and conjugation of time interval algebras of conformal Generalized Free Fields (GFF) in 0 + 1-dimensions in the vacuum. For non-integer scaling dimensions, for general time intervals, the modular conjugation and the modular ...
Nima Lashkari +3 more
doaj +1 more source
Geometry from integrability: multi-leg fishnet integrals in two dimensions
Journal of High Energy PhysicsWe generalise the geometric analysis of square fishnet integrals in two dimensions to the case of hexagonal fishnets with three-point vertices. Our results support the conjecture that fishnet Feynman integrals in two dimensions, together with their ...
Claude Duhr +4 more
doaj +1 more source
Zhejiang Daxue xuebao. Lixue ban, 2017 根据几何代数在地理空间对象建模和多维数据分析应用的特点，研究了共形几何代数交/并(meet/join)算子的含义、构建和应用.利用几何代数多维统一、高维计算适应的优势，设计了基于几何代数meet算子和有向半空间划分理论的时空宗地meet算法.从三维地籍和时空数据建模出发，在共形几何代数和时空代数范畴中，给出了三维、四维时空宗地的定义和表达.同时，以宗地数据的拓扑计算为例，将该算法运用于三维时空宗地拓扑计算场景——历史回溯中，取得了良好的效果.该算法的理念同样适用于四维时空宗地的历史回溯meet求解.
WANGQiaoyan(王巧燕) +4 more
doaj +1 more source
Kinematic Analysis of Industrial Robots Based on Conformal Geometric Algebra
Jixie chuandongIn order to solve the problem of high complexity and large amount of computation for kinematics of industrial robots, conformal geometric algebra (CGA) is introduced to the construction of kinematics model of industrial robots.
Yu Yang +4 more
doaj
Lie Symmetries of the Wave Equation on the Sphere Using Geometry
DynamicsA semilinear quadratic equation of the form Aij(x)uij=Bi(x,u)ui+F(x,u) defines a metric Aij; therefore, it is possible to relate the Lie point symmetries of the equation with the symmetries of this metric. The Lie symmetry conditions break into two sets:
Michael Tsamparlis +1 more
doaj +1 more source
Generalized Cross-Curvature Solitons of 3D Lorentzian Lie Groups
AxiomsWe investigate left-invariant generalized cross-curvature solitons on simply connected three-dimensional Lorentzian Lie groups. Working with the assumption that the contravariant tensor Pij (defined from the Ricci tensor and scalar curvature) is ...
Mehdi Jafari
doaj +1 more source
Bulk reconstruction from generalized free fields
Journal of High Energy PhysicsWe propose a generalized protocol for constructing a dual free bulk theory from any boundary model of generalized free fields (GFFs). To construct the bulk operators, we employ a linear ansatz similar to the Hamilton-Kabat-Liftschytz-Lowe (HKLL ...
Tamra Nebabu, Xiao-Liang Qi
doaj +1 more source
Conformal Geometric Algebra and Galilean Spacetime
Advances in Applied Clifford AlgebrasAbstract This paper explores the application of geometric algebra to Galilean spacetime and its physical implications. We introduce the Galilean spacetime algebra (GSTA), a five-dimensional conformal geometric algebra (CGA) generated by a specific metric, and demonstrate its utility in representing special Galilean transformations ...
openaire +2 more sources
Quadric conformal geometric algebra of \({\mathbb {R}}^{9,6}\)
, 2018 This article is a contribution to an ongoing discussion in the geometric algebra community on how to represent quadrics in three space within a conformal geometric algebra framework. The authors use the conformal geometry of \(\mathbb{R}^{9,6}\) for this purpose and demonstrate how to construct lines, planes, spheres, and quadrics as wedge products of ...
Breuils, Stéphane +3 more
openaire +2 more sources
Evaluating a Semiautonomous Brain-Computer Interface Based on Conformal Geometric Algebra and Artificial Vision. [PDF]
Comput Intell Neurosci, 2019 Ramírez-Moreno MA, Gutiérrez D.
europepmc +1 more source