split-biquaternions. Cl3,0(R) ≅ Cl1,2(R), also called the Pauli algebra, is isomorphic to the algebra of biquaternions. One can also study Clifford algebras...

K. Clifford obtained a broad generalization of these numbers that he called biquaternions, which is an example of what is now called a Clifford algebra...

{\displaystyle \mathbb {C} } ) (2 × 2 complex matrices, biquaternions, Pauli algebra). All of the Clifford algebras Clp,q( R {\displaystyle \mathbb {R} } ) apart...

which included presentation of biquaternions. The following passage from page 673 shows how Hamilton uses biquaternion algebra and vectors from quaternions...

Vahlen also recounts split-biquaternions and parabolic biquaternions originated by Clifford. But Vahlen cites Eduard Study most of all since Study also...

In mathematical physics, spacetime algebra (STA) is the application of Clifford algebra Cl1,3(R), or equivalently the geometric algebra G(M4) to physics...

therefore a ring, also a division ring and a domain. It is a special case of a Clifford algebra, classified as Cl 0 , 2 ⁡ ( R ) ≅ Cl 3 , 0 + ⁡ ( R ) . {\displaystyle...

Clifford M (2010). "Relativity". Grolier Multimedia Encyclopedia. Archived from the original on 21 May 2020. Retrieved 1 August 2010. Will, Clifford M...

Plane-based geometric algebra is an application of Clifford algebra to modelling planes, lines, points, and rigid transformations. Generally this is with...

extend the concept to 4-space. Problems in that algebra led to use of biquaternions after 1900. In a widely seen review, Macfarlane wrote: ... the root...

Equations and their Solutions", in Ablamowicz, Rafał; Lounesto, Pertti (eds.), Clifford Algebras and Spinor Structures, Springer, pp. 265–280, doi:10.1007/978-94-015-8422-7_16...

representation of the action of the Lorentz group on Minkowski space uses biquaternions, which form a composition algebra. The isometry property of Lorentz...

that ring. Arthur Conway, one of the early adopters of relativity via biquaternion transformations, considered the quaternion-multiplicative-inverse transformation...

84:27–48. William Kingdon Clifford (1882) Mathematical Works, A. W. Tucker editor, page 392, "Further Notes on Biquaternions" V.Cruceanu, P. Fortuny &...

in the Universe. Cambridge U Press. ISBN 978-0-521-81405-8. Pickover, Clifford (1998). Black Holes: A Traveler's Guide. Wiley, John & Sons, Inc. ISBN 978-0-471-19704-1...

tessarines in 1848 and coquaternions in 1849. William Kingdon Clifford introduced split-biquaternions in 1873. In addition Cayley introduced group algebras over...

Magnetism. In 1878 William Kingdon Clifford published his Elements of Dynamic. Clifford developed split-biquaternions (e.g. q = w + x i + y j + z k {\displaystyle...

Charles-Ange Laisant and Alexander Macfarlane. William K. Clifford expanded the types of biquaternions, and explored elliptic space, a geometry in which the...

2}k\end{aligned}}} Anti-twister mechanism Binary polyhedral group Biquaternion Charts on SO(3) Clifford algebras Conversion between quaternions and Euler angles...

open and keep timelike geodesic free float "warp drives" working. With Clifford Will and others of his students, he laid the foundations for the theoretical...

algebraic structures, such as a tensor product of two copies of the biquaternions, or the algebra of 4 × 4 matrices over the real numbers, or that studied...

San Francisco: W. H. Freeman. ISBN 0-7167-0344-0. See Box 39.1. Will, Clifford M. (1986). "Chapter 8: The Rise and Fall of the Brans–Dicke Theory". Was...

espace elliptique ("Quaternions and elliptic space"). William Kingdon Clifford had introduced the concept of elliptic space in 1873. Lemaître developed...

Will, Clifford M. (1993), Theory and experiment in gravitational physics, Cambridge University Press, ISBN 978-0-521-43973-2 Will, Clifford M. (2006)...

advanced undergraduate level introduction to the Shapiro effect. Will, Clifford M. (2014). "The Confrontation between General Relativity and Experiment"...

ISBN 978-0805387322. Creighton, Teviet. "Formulae and Details". Poisson, Eric; Will, Clifford M. (2014-05-29). Gravity:Newtonian, Post-Newtonian, Relativistic. Cambridge...

numbers. William Kingdon Clifford coined the term motor for a kinematic operator in his "Preliminary Sketch of Biquaternions" (1873). He used split-complex...

Lifshitz, E.M., The Classical Theory of Fields (Pergamon Press), 1987. Will, Clifford M. (2014). "The Confrontation between General Relativity and Experiment"...

ISBN 978-3-540-41236-6. S2CID 15430387. {{cite book}}: |journal= ignored (help) Will, Clifford M. (December 2014). "The Confrontation between General Relativity and Experiment"...

1. Snygg, John (2012). A new approach to differential geometry using Clifford's geometric algebra. New York: Springer Science. p. 400. doi:10.1007/978-0-8176-8283-5...