Quantum Contradictions 2: Pauli Exclusion Principle

Wolfgang Pauli stated in General Principles of Quantum Mechanics (1958) on the Pauli Exclusion Principle (PEP):

• The fact that quantum mechanics yields more states than actually occur in nature (multiD wave function), is still a puzzle and it is hoped that a future theory of elementary particles will bring a deeper insight into the essence of the this restricted choice of nature (symmetric or antisymmetric multiD wave function).

But PEP is still a puzzle and can be viewed as the basic puzzle of quantum mechanics which harbors  a basic contradiction from two conflicting ad hoc assumptions:

1. An atom with N electrons is described by a wave function as solution to a linear scalar Schrödinger equation in 3N space dimensions with a richness beyond any reality and imagination, which can viewed as a scientific monster.  
2. To balance the richness and come to grips with the monster, a restriction to symmetric or antisymmetric wave functions is made.    

An ad hoc rich Ansatz is thus restricted ad hoc, which violates Ockham's Razor requiring science to avoid detours: A rational scientific approach would be to start out with a different mathematical model in the form of a system in N wave functions depending on 3 space dimensions as solution to a coupled system of N scalar wave equations in 3 space dimensions, as suggested by Hartree directly after the multiD Schrödinger equation was presented in 1925, and explored in Many-Minds Quantum Mechanics.

Pauli was never happy with his principle, even if it gave him the Nobel Prize in Physics "for the discovery of the Pauli Principle", which he does not hide in his Nobel Lecture (as another contradiction):

• Already in my original paper I stressed the circumstance that I was unable to give a logical reason for the exclusion principle or to deduce it from more general assumptions. I had always the feeling and I still have it today, that this is a deficiency.