• Corpus ID: 117460254

Dirac Equation in Scale Relativity

  title={Dirac Equation in Scale Relativity},
  author={M. N. C{\'e}l{\'e}rier and Laurent Nottale},
  journal={arXiv: High Energy Physics - Theory},
The theory of scale relativity provides a new insight into the origin of fundamental laws in physics. Its application to microphysics allows to recover quantum mechanics as mechanics on a non-differentiable (fractal) space-time. The Schr\"odinger and Klein-Gordon equations have already been demonstrated as geodesic equations in this framework. We propose here a new development of the intrinsic properties of this theory to obtain, using the mathematical tool of Hamilton's bi-quaternions, a… 

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