Scale Relativity , Fractal Space-Time , and Quantum Mechanics

  title={Scale Relativity , Fractal Space-Time , and Quantum Mechanics},
  author={Laurent Nottale},
This paper describes the present state of an attempt at understanding the quantum behaviour of microphysics in terms of a nondifferentiable space-time continuum having fractal (i.e., scale-dependent) properties. The fundamental principle upon which we rely is that of scale relativity, which generalizes to scale transformations Einstein’s principle of relativity. After having related the fractal and renormalization group approaches, we develop a new version of stochastic quantum mechanics, in… CONTINUE READING
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