quaternionic

If we can detect N = 4 SUSY quaternionic or 16 supersymmetries in the Clifford algebra CL_16, most likely in a broken symmetry phase, we would be in great shape!

First Collisions for the LHC | Universe Today 2009

The Dirac equation is essentially the “square root” of the Klein-Gordon equation in a quaternionic form.

Dark Matter: Still Dark. Julianne 2008

Yet this strange configuration to the CMB might be a signature of the quaternionic structure of the universe in the inflationary or pre-inflationary phase.

The Lopsided Universe Sean 2008

We will focus on the 120, which are a representation of quaternionic fields.

The Lopsided Universe Sean 2008

If the four manifold is a 4-sphere then the 3-homology sphere bounds both of then and there is then a quaternionic structure in the whole 4-space.

The Lopsided Universe Sean 2008

Working engineers and leading scientists focused upon Heaviside's vector interpretation of Maxwell's difficult quaternionic expressions.

Chapter 4 1990

Maxwell's compact and powerful quaternionic expression of the general equations of the electromagnetic field are given in Article 619, Vol. 2, p. 258 of his Treatise.

Chapter 4 1990

Unfortunately, the electrogravitational implications of Whittaker's profound work were not recognized and followed up, and their connection to Maxwell's quaternionic EM theory was not noticed nor examined.

Chapter 4 1990

With the availability of excellent and extensive expositions of the vector interpretation of the translation force-field subset of Maxwell's theory by Heaviside and Hertz, and with the nearly insurmountable difficulty associated with the complex quaternions and potentials which few scientists understood, the rejection of the quaternionic form of Maxwell's theory and the acceptance of the vector subset was inevitable.

Chapter 4 1990

● Piron's result: from elementary questions recover the geometry of the Hilbert space (over the reals, complex, and quaternionic numbers).

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