Discrete Scale Relativity
نویسندگان
چکیده
منابع مشابه
Scale Relativity
In his conference given at the St Louis congress in 1904, Henri Poincaré wrote [1]: "Comme les astres proprement dits, [les atomes] s'attirent ou se repoussent et cette attraction (...) ne dépend que de la distance. La loi suivant laquelle cette force varie en fonction de la distance n'est peut-être pas la loi de Newton, mais c'est une loi analogue; au lieu de l'exposant –2, nous avons probable...
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The theory of scale relativity is an attempt at developing the consequences of giving up the implicit hypothesis of space-time differentiability. One of these consequences is that space-time becomes fractal, i.e., explicitly resolution-dependent. The principle of relativity is extended in order to be also valid for scale transformations of space-time resolutions. In the present contribution, we...
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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. As a consequence, spacetime becomes fractal, i.e., explicitly resolution-dependent. The requirement that this geometry satisfies the principle of scale relativity leads to introduce scale la...
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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, we no longer assume 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...
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Extensions (modiications) of the Heisenberg Uncertainty principle are derived within the framework of the theory of Special Scale-Relativity proposed by Nottale. In particular , generalizations of the Stringy Uncertainty Principle are obtained where the size of the strings is bounded by the Planck scale and the size of the Universe. Based on the fractal structures inherent with two dimensional ...
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ژورنال
عنوان ژورنال: Astrophysics and Space Science
سال: 2007
ISSN: 0004-640X,1572-946X
DOI: 10.1007/s10509-007-9557-x