Quantum–classical transition in scale relativity
نویسندگان
چکیده
منابع مشابه
Quantum–classical transition in scale relativity
The theory of scale relativity provides a new insight into the origin of fundamental laws in physics. Its application to microphysics allows us to recover quantum mechanics as mechanics on a non-differentiable (fractal) spacetime. The Schrödinger and Klein–Gordon equations are demonstrated as geodesic equations in this framework. A development of the intrinsic properties of this theory, using t...
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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...
متن کاملThe Scale-Relativity Program∗
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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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 2004
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/37/3/026