Many-Minds Quantum Mechanics

Preface This is a draft of an upcoming book with a computational approach to quantum mechanics based viewing the the Schrödinger equation for a many-electron atom or molecule as a non-linear system of of one-electron equations in the spirit of Hartrees classical method, which is solved in a collective computational process with each electron updating its own three-dimensional wave function according to the wave functions of the other electrons. I refer to this version as Many-Minds Quantum Mechanics (MMQM) with each electron representing a (simple) mind seeking to solve its own Schrödinger equation. This is to be compared with the accepted view according to the Copen-hagen Interpretation with a multidimensional wave function satisfying a linear scalar Schrödinger equation, with the modulus squared of the wave function representing the probability of a pointlike electron configuration. One may refer to this verion as One-Mind Quantum Mechanics (OMQM) with the multidimensional wave function being solved by One Supermind. The big trouble with OMQM is that the wave function does not represent any physical quantity, only a probability which has no physical representation , a fact which has made quantum mechanics into a deeply mystical subject beyond the comprehenion of human minds, as witnesses by many Nobel Laurates of Physics: Quantum mechanics cannot be understood but is nevertheless very useful. On the other hand, the collection of one-electron wave functions of MMQM has a direct physical meaning. This book explores this approach with the hope of reducing the mystery by making of quantum mechanics both understandable and useful. The book also presents a many-minds approach to relativity theory with the hope of finding a unified many-minds model including both gravitation and quantum mechanics.