Results 41 to 50 of about 47,372 (244)
A Clifford Algebra Approach to Chiral Symmetry Breaking and Fermion Mass Hierarchies
, 2017 We propose a Clifford algebra approach to chiral symmetry breaking and fermion mass hierarchies in the context of composite Higgs bosons. Standard model fermions are represented by algebraic spinors of six-dimensional binary Clifford algebra, while ...
Lu, Wei
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Analytical Frameworks and Theories of Electric Power in Non‐Linear Circuits
IET Generation, Transmission &Distribution, Volume 20, Issue 1, January/December 2026.Based on the challenges of distorted currents and non‐linear components in modern power grids, this article reviews seminal electrical power theories that seek to generalize the traditional definitions of active, reactive, and apparent power. It provides a detailed analysis of their mathematical foundations, practical implementation, and validity.
Rafael Escudero, Luis Ibarra
wiley +1 more source
On the group of automorphisms of the algebra of plural numbers
Дифференциальная геометрия многообразий фигур, 2023 The algebra of dual numbers was first introduced by V. K. Clifford in 1873. The algebras of plural and dual numbers are analogous to the algebra of complex numbers. Dual numbers form an algebra, but not a field, because only dual numbers with a real part
A. Ya. Sultanov +2 more
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Isotopic liftings of Clifford algebras and applications in elementary particle mass matrices
, 2007 Isotopic liftings of algebraic structures are investigated in the context of Clifford algebras, where it is defined a new product involving an arbitrary, but fixed, element of the Clifford algebra.
A.O.E. Animalu +28 more
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Annalen der Physik, Volume 537, Issue 12, December 2025.A set of particle representations, familiar from the Standard Model, collectively form a superalgebra. Those representations mirroring the behaviour of the Standard Model's gauge bosons, and three generations of fermions, are each included in this algebra, with exception only to those representations involving the top quark.
N. Furey
wiley +1 more source
How to generate families of spinors
, 2003 Using a technique \cite{holgernorma2002} to construct a basis for spinors and ``families'' of spinors in terms of Clifford algebra objects, we define other Clifford algebra objects, which transform the state of one ''family'' of spinors into the state of
Gornik +12 more
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Advanced Quantum Technologies, Volume 8, Issue 12, December 2025.The hybrid approach to Quantum Supervised Machine Learning is compatible with Noisy Intermediate Scale Quantum (NISQ) devices but hardly useful. Pure quantum kernels requiring fault‐tolerant quantum computers are more promising. Examples are kernels computed by means of the Quantum Fourier Transform (QFT) and kernels defined via the calculation of ...
Massimiliano Incudini +2 more
wiley +1 more source
Special Vinberg cones of rank 4
Journal of High Energy PhysicsE.B. Vinberg developed a theory of homogeneous convex cones $$C\subset V={\mathbb{R}}^{n}$$ , which has many applications. He gave a construction of such cones in terms of non-associative rank n matrix T-algebras $$\mathcal{T}$$ , that consist of vector ...
D. V. Alekseevsky, P. Osipov
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General Gate Teleportation and the Inner Structure of Its Clifford Hierarchies
Mathematical Methods in the Applied Sciences, Volume 48, Issue 17, Page 15985-15997, 30 November 2025.ABSTRACT The quantum gate teleportation mechanism allows for the fault‐tolerant implementation of “Clifford hierarchies” of gates assuming, among other things, a fault‐tolerant implementation of the Pauli gates. We discuss how this method can be extended to assume the fault‐tolerant implementation of any orthogonal unitary basis of operators, in such a
Samuel González‐Castillo +3 more
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Operator Homology and Cohomology in Clifford Algebras
Cubo, 2010 In recent work, the authors used canonical lowering and raising operators to define Appell systems on Clifford algebras of arbitrary signature. Appell systems can be interpreted as polynomial solutions of generalized heat equations, and in probability ...
René Schott, G. Stacey Staples
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