Corpus ID: 118883636

Monogenic functions in 5-dimensional spacetime used as first principle: gravitational dynamics, electromagnetism and quantum mechanics

@article{Almeida2006MonogenicFI,
  title={Monogenic functions in 5-dimensional spacetime used as first principle: gravitational dynamics, electromagnetism and quantum mechanics},
  author={J. Almeida},
  journal={arXiv: General Physics},
  year={2006}
}
  • J. Almeida
  • Published 2006
  • Physics
  • arXiv: General Physics
Monogenic functions are functions of null vector derivative and are here analysed in the geometric algebra of 5-dimensional spacetime, G(4,1), in order to derive several laws of fundamental physics. The paper introduces the working algebra and the definition of monogenic functions, showing that these generate two 4-dimensional spaces, one with Euclidean signature and the other one with Minkowski signature. The equivalence conditions between the two spaces are studied and relativistic dynamics… Expand
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