Scale relativity and Schrödinger equation.

Details Scale relativity and Schrödinger equation. Scale relativity and Schrödinger equation.

Jul 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998csf.....9.1051n&link_type=abstract

Chaos Solitons Fractals, Vol. 9, No. 7, p. 1051 - 1061

Computer Science

7

General Relativity: Cosmology

Scientific paper

The theory of scale relativity generalizes the application domain of Einstein's principle of relativity to scale transformations of space-time resolutions. In this theory, one no longer assumes that the space-time continuum is differentiable, this implying its fractal character. Both classical and quantum laws may emerge from a unique, more profound, scale law. The effects of nondifferentiability (complex nature of wave function, new terms in differential equations of mean motion) are accounted for by a scale-covariant derivative that transforms the equations of classical mechanics into the Schrödinger equation. Using an intermediate description in terms of a 'fractal potential', the author finally establishes the m-1 dependence of the Compton-de Broglie wavelength.

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