Sub-Quantum Physics 3: Each Sperical Harmonic is Two Space States Without Spin Opposition

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Scientific Paper
Title Sub-Quantum Physics 3: Each Sperical Harmonic is Two Space States Without Spin Opposition
Author(s) Alan McCone
Keywords quantum, hydrogen, exclusion principle, aether
Published 1999
Journal Galilean Electrodynamics
Volume 10
Number 2
Pages 31-34

Abstract

This article is part of a program to explain the quantum uncertainty and the quantum wave function as envelopes of motion resulting from bombardment of a quantum particle by the surrounding medium or aether. The program sees quantum position probabilities as superpositions of position probabilities of classical orbits. In a previous article, this ?method of fits,? a method successful for the ground state of the oscillator, is applied to states of the hydrogen atom with emphasis on 1S and 2P states. The Schr?dinger solution for the 1S state is fit exactly by the method. It is concluded that the Schr?dinger solution for the 2P state is a summary, but not an exact description, of a true dynamical state of motion in superposed coaxial ellipsoids. In the present article it is argued that two spatial states are embedded in each of the spherical harmonic angular states which are solutions to the central field quantum wave equation, and therefore it is not necessary to invoke opposed electron spins to explain the presence of two states in light of the exclusion principle. The natural classical motion for a Keplerian bound state is an ellipse, in which the particle spends more of its time on one side of the origin and less on the other side, and it would highly unnatural for the ellipse to jump suddenly to the symmetrically opposite side. It is concluded that a different spatial state is signified by each of the two lobes of each of the ellipsoidal spherical harmonics, and that there is also room for two electrons on opposite sides of the nucleus in the symmetrical S states.