MACROSCOPIC SCHROEDINGER QUANTIZATION OF THE EARLY CHAOTIC SOLAR-SYSTEM

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 th eory for Nottale's macro-quantization of the solar system in which nei ther semiclassical approximations nor the probabilistic Born postulate are assumed. We point out the existence and properties of radial-velo city proto-planetary solitons that describe the swarm of chaotic orbit s supposed to dominate at the later stage of the solar system formatio n, in accordance with Nottale's scale-relativity theory.