|
Exploitation of monogenic functions in
the algebra of 5-dimensional spacetime G(4,1) and their
relation to the fundamental laws of physics.
For an introduction to the subject, covering special
relativity and the free particle Dirac equation, see
"Choice of the best geometry to explain physics,"
http://arxiv.org/abs/physics/0510179.
For a deeper insight, covering aspects
of General Relativity and Electrodynamics, see
"Monogenic functions in 5-dimensional spacetime used as
first principle: gravitational dynamics,
electromagnetism and quantum mechanics," http://www.arxiv.org/abs/physics/0601078.
To see how the same condition leads to
the standard model gauge symmetry group go to "Geometric
algebra and particle dynamics,"
http://www.arxiv.org/abs/math.GM/0504025. There is a
flaw in this paper regarding the Dirac operator; this
does not affect the symmetry group discussion and was
corrected in the reference above.
If one adds an hypothesis about an
hyperspherical symmetry in the Universe, the monogenic
condition dispenses with dark matter for the Hubble
expansion; see "Geometric drive of the Universe's
expansion,"
http://www.arxiv.org/abs/physics/0507102. The
appendix introduces electromagnetism.
|
