Macroscopic Schroedinger quantization of the early chaotic solar system

Details Macroscopic Schroedinger quantization of the early chaotic solar system Macroscopic Schroedinger quantization of the early chaotic solar system

Sep 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998a%26a...337..299r&link_type=abstract

Astronomy and Astrophysics, v.337, p.299-310 (1998)

Astronomy and Astrophysics

Astrophysics

6

Relativity, Gravitation, Chaos, Quantization

Scientific paper

Classical mechanics is compatible with Schroedinger's equation without any approximation of the standard WKB semiclassical quantum type. In order to illustrate this property, we propose an exact Schroedinger theory for Nottale's macro-quantization of the solar system in which neither semiclassical approximations nor the probabilistic Born postulate are assumed. We point out the existence and properties of radial-velocity proto-planetary solitons that describe the swarm of chaotic orbits supposed to dominate at the later stage of the solar system formation, in accordance with Nottale's scale-relativity theory.

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