Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

General Quantum Theory No Axiom Presumption: II ----Measuring and Identical Theorems, Origins & Classifications of Entanglements and Solution to Crisis of Wave Collapse

Version 1 : Received: 6 February 2020 / Approved: 7 February 2020 / Online: 7 February 2020 (04:30:30 CET)
Version 2 : Received: 15 June 2020 / Approved: 16 June 2020 / Online: 16 June 2020 (09:28:27 CEST)

How to cite: Huang, C.; Huang, Y.; Nie, Y. General Quantum Theory No Axiom Presumption: II ----Measuring and Identical Theorems, Origins & Classifications of Entanglements and Solution to Crisis of Wave Collapse. Preprints 2020, 2020020092 (doi: 10.20944/preprints202002.0092.v1). Huang, C.; Huang, Y.; Nie, Y. General Quantum Theory No Axiom Presumption: II ----Measuring and Identical Theorems, Origins & Classifications of Entanglements and Solution to Crisis of Wave Collapse. Preprints 2020, 2020020092 (doi: 10.20944/preprints202002.0092.v1).

Abstract

This paper derives measurement and identical principles, then makes the two principles into measurement and identical theorems of quantum mechanics, plus the three theorems derived earlier, we deduce the axiom system of current quantum mechanics, the general quantum theory no axiom presumptions not only solves the crisis to understand in current quantum mechanics, but also obtains new discoveries. We deduce the general Schrȍdinger equation of any n particles, and the wave function not only has particle properties of the square root state vector of the classical probability density of any n particles, but also has the plane wave properties of any n particles. Thus, the current crisis of the dispute about the origin of wave-particle duality of any n microscopic particles is solved. This paper displays the classical locality and quantum non-locality for any n particle system, shows entanglement origins, and discovers not only any n-particle wave function system has the original, superposition and across entanglements, but also the entanglements are of interactions preserving conservation or correlation, the three kinds of entanglements directly gives lots of entanglement sources. This paper discovers, one of two pillars of modern physics, quantum mechanics is a generalization ( mechanics ) theory of the square root ( of density function ) of classical statistical mechanics. Thus, all current studies on various entanglements and their uses to quantum computer, quantum communications and so on must be further updated and classified by the three kinds of entanglements. Finally, this papers and our previous paper together solve the crisises of basses of quantum mechanics, e.g., wave-particle duality & the first quantization origins, quantum nonlocality, entanglement origins & classifications, wave collapse and so on.

Subject Areas

quantum mechanics; operator; basic presumptions; wave-particle duality; principle of measurement; identical principle; principle superposition of states; entanglement origin; wave collapse; classical statistical mechanics; classical mechanics

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