The surabale of space-time and its algebra signature split (Q871659)

A ``surabale'' is a category given by a special manifold of geometric algebra frames. The surabale can be defined on the Clifford algebra of space-time. Then it constitutes a bundle of frames which -- though covering all dimensions of a geometric algebra -- turn out as isomorphic to the ground space generating the algebra. Because of this, the mass shell and the Dirac-Hestenes equation can be defined on the whole surabale. As a result the equation is preserved when acted on by the symmetries of the transformation group of the standard model. The Kähler equation simply turns into a Dirac-Hestenes equation on the inhomogeneous surabale, yet with the same simple differential 1-forms of the linear equation. This shows that the equation of motion as well as the invariance of the surabale under the standard model symmetry can be formulated base free. The author studies the dimension of the space-time-split in quadratic Clifford algebras. It turns out that the dimension of the positive space-like component reproduces their period-8 properties.