A quantum-like description of the planetary systems

A.E. Caswell; A.G. Agnese; C.F. Weizsäcker von; D. Rookes; D. ter Haar; E. Willerding; F. Graner; Fabio Scardigli; G. Reinisch; G. ’t Hooft; H. Alfven; H.-T. Elze; J. Laskar; L. Landau; L. Nottale; M. Blasone; M. Blasone; M. Oliveira Neto de; M.M. Nieto; O.J. Schmidt; P. Lynch; P.S. Wesson; S. Albeverio

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A quantum-like description of the planetary systems

Authors: A.E. Caswell
A.G. Agnese
C.F. Weizsäcker von
D. Rookes
D. ter Haar
E. Willerding
F. Graner
Fabio Scardigli
G. Reinisch
G. ’t Hooft
H. Alfven
H.-T. Elze
J. Laskar
L. Landau
L. Nottale
M. Blasone
M. Blasone
M. Oliveira Neto de
M.M. Nieto
O.J. Schmidt
P. Lynch
P.S. Wesson
S. Albeverio
Publication date: 25 November 2007
Publisher: 'Springer Science and Business Media LLC'
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Abstract

The Titius-Bode law for planetary distances is reviewed. A model describing the basic features of this rule in the "quantum-like" language of a wave equation is proposed. Some considerations about the 't Hooft idea on the quantum behaviour of deterministic systems with dissipation are discussed.Comment: LaTex file, 17 pages, no figures. Version published in Foundations of Physics, August 200

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