Scale relativity, fractal space-time and quantum mechanics
نویسندگان
چکیده
منابع مشابه
Scale Relativity, Fractal Space-Time, and Quantum Mechanics
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...
متن کاملScale relativity and fractal space-time: theory and applications
In the first part of this contribution, we review the development of the theory of scale relativity and its geometric framework constructed in terms of a fractal and nondifferentiable continuous space-time. This theory leads (i) to a generalization of possible physically relevant fractal laws, written as partial differential equation acting in the space of scales, and (ii) to a new geometric fo...
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The theory of scale relativity extends Einstein's principle of relativity to scale transformations of resolutions. It is based on the giving up of the axiom of differentiability of the space-time continuum. Three consequences arise from this withdrawal: (i) The geometry of space-time must be fractal, i.e., explicitly resolutiondependent. (ii) The geodesics of the non-differentiable space-time a...
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The theory of scale relativity [14] is an attempt to study the consequences of giving up the hypothesis of space-time differentiability. One can show [14] [15] that a continuous but nondifferentiable space-time is necessarily fractal. Here the word fractal [12] is taken in a general meaning, as defining a set, object or space that shows structures at all scales, or on a wide range of scales. Mo...
متن کاملScale relativity, fractal space-time and morphogenesis of structures
The theory of scale relativity extends Einstein’s principle of relativity to scale transformations of resolutions. It is based on the giving up of the axiom of differentiability of the space-time continuum. Three consequences arise from this withdrawal. (i) The geometry of space-time becomes fractal, i.e., explicitly resolutiondependent : this allows one to describe a non-differentiable physics...
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ژورنال
عنوان ژورنال: Chaos, Solitons & Fractals
سال: 1994
ISSN: 0960-0779
DOI: 10.1016/0960-0779(94)90051-5