A quantum-like description of the planetary systems

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.

LaTex file, 17 pages, no figures. Version published in Foundations of Physics, August 2007

References in corpus (3)

• Determinism beneath Quantum Mechanics
• Path Integral Approach to 't Hooft's Derivation of Quantum from Classical Physics
• On quantum mechanics as constrained N=2 supersymmetric classical mechanics

Cited by in corpus (12)

• The Successful Prediction of the Extrasolar Planet HD 74156 d
• Bekenstein bound and uncertainty relations
• Order out of Randomness : Self-Organization Processes in Astrophysics
• Dissipation and quantization for composite systems
• Can quantum mechanics be an emergent phenomenon?
• Self-Organizing Systems in Planetary Physics: Harmonic Resonances of Planet and Moon Orbits
• Some considerations on Determinism and Free Will
• Nambu at Work
• A Close Correlation between Third Kepler Law and Titius-Bode Rule
• On the canonical quantization of the electromagnetic field and the emergence of gauge invariance
• Exponential distance relation (aka Titius-Bode rule) in extra solar planetary systems
• Chronons in M-theory and F-theory