Quadratic relativistic invariant and metric form in quantum mechanics

@inproceedings{Pissondes1999QuadraticRI,
  title={Quadratic relativistic invariant and metric form in quantum mechanics},
  author={Jean-Claude Pissondes},
  year={1999}
}
  • Jean-Claude Pissondes
  • Published 1999
The Klein–Gordon equation is recovered in the framework of the theory of scalerelativity, first in the absence, then in the presence of an electromagnetic field. In this framework, spacetime at quantum scales is characterized by non-differentiability and continuity, which involves the introduction of explicit resolution-dependent fractal coordinates. Such a description leads to the notion of scale-covariance and its corresponding tool, a scale-covariant ; derivative operator d/ds. Due to it… CONTINUE READING

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