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Foundations of Physics

A Simple Model for an Objective Interpretation of Quantum Mechanics

Claudio Garola

Published Oct 1, 2002• 32 citations
Publisher
DOI
10.1023/a:1020431419786

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This paper is the 5th in a series of explorations to see if a simple physical interpretation of the quantum-mechanical wavefunction could possibly make sense. It challenges two of the usual objections to such interpretation: 1. The superposition of wavefunctions is done in the complex space and, hence, the assumption of a real-valued envelope for the wavefunction is, therefore, not acceptable. 2. The wavefunction for spin-1/2 particles cannot represent any real object because of its 720-degree symmetry in space. Real objects have the same spatial symmetry as space itself, which is 360 degrees. Hence, physical interpretations of the wavefunction are nonsensical. The heuristic arguments in this paper will, hopefully, convince the reader these objections are subject to interpretation themselves. If anything, the ideas presented in this paper might contribute to a better didactic model for teaching quantum mechanics.

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Here, within the Scale-Symmetric Physics (S-SP), we present a new interpretation of the Quantum Mechanics i.e. the superluminal interpretation (SIQM). Werner Heisenberg used term “the ideological superstructures” to the hidden-variables theory. All known mainstream interpretations of quantum mechanics deserve such a term. It follows from the fact that all mainstream interpretations neglect physical consistency of the 3-dimensional wave functions. A wave function which fills up the Universe cannot be a coherent physical object when distant points of the wave function cannot communicate with superluminal speed. Just period of a local change in the wave function (due to a luminal Standard-Model interaction) cannot be shorter than size of the wave function divided by superluminal speed. The Planck length is the lower limit for size of gravitating particles. Objects with sizes smaller than the Planck length must be non-gravitating so non-relativistic and they must be superluminal. The S-SP, due to the succeeding phase transitions, leads from the objects with sizes smaller than the Planck length (so superluminal) to objects with sizes close to the Planck length (so luminal) and larger. The question is not whether there are in existence some superluminal entanglons responsible for quantum entanglement but why we cannot see their motion directly. And the answer is very simple just they are not the Standard-Model objects, their size is much smaller than the Planck length and the degree of filling of spacetime is very low. Here, within the Scale-Symmetric Physics (S-SP), [1], we present a new interpretation of the Quantum Mechanics i.e. the superluminal interpretation (SIQM). More details concerning the quantum mechanics in the S-SP we can find in following papers [1] – [10]. Werner Heisenberg used term “the ideological superstructures” to the hidden-variables theory. All known interpretations of quantum mechanics deserve such a term. It follows from the fact that all mainstream interpretations neglect physical consistency of the 3-dimensional wave functions. A wave function which fills up the Universe cannot be a coherent physical object when distant points of the wave function cannot communicate with superluminal speed. Just period of a local change in the wave function (due to a luminal Standard-Model interaction) cannot be shorter than size of the wave function divided by superluminal speed. The shortest luminal lifetimes are about 10– s whereas the present-day size of the Universe is about 10 m – it leads to conclusion that there must be in existence a fifth interaction with speed of interaction higher than about 10 m/s. Only then the quantum mechanics can be

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We suggest a new interpretation of Quantum Mechanics, in which the system state vectors are identified with q-instants --- new elements of reality that are similar to time instants but can be overlapped with each other. We show that this new interpretation provides a simple and objective solution to the measurement problem, while preserving the general validity of the Schrodinger equation as well as the superposition principle in Quantum Mechanics.

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This paper is the 5th in a series of explorations to see if a simple physical interpretation of the quantum-mechanical wavefunction could possibly make sense. It challenges two of the usual objections to such interpretation: 1. The superposition of wavefunctions is done in the complex space and, hence, the assumption of a real-valued envelope for the wavefunction is, therefore, not acceptable. 2. The wavefunction for spin-1/2 particles cannot represent any real object because of its 720-degree symmetry in space. Real objects have the same spatial symmetry as space itself, which is 360 degrees. Hence, physical interpretations of the wavefunction are nonsensical. The heuristic arguments in this paper will, hopefully, convince the reader these objections are subject to interpretation themselves. If anything, the ideas presented in this paper might contribute to a better didactic model for teaching quantum mechanics.
Here, within the Scale-Symmetric Physics (S-SP), we present a new interpretation of the Quantum Mechanics i.e. the superluminal interpretation (SIQM). Werner Heisenberg used term “the ideological superstructures” to the hidden-variables theory. All known mainstream interpretations of quantum mechanics deserve such a term. It follows from the fact that all mainstream interpretations neglect physical consistency of the 3-dimensional wave functions. A wave function which fills up the Universe cannot be a coherent physical object when distant points of the wave function cannot communicate with superluminal speed. Just period of a local change in the wave function (due to a luminal Standard-Model interaction) cannot be shorter than size of the wave function divided by superluminal speed. The Planck length is the lower limit for size of gravitating particles. Objects with sizes smaller than the Planck length must be non-gravitating so non-relativistic and they must be superluminal. The S-SP, due to the succeeding phase transitions, leads from the objects with sizes smaller than the Planck length (so superluminal) to objects with sizes close to the Planck length (so luminal) and larger. The question is not whether there are in existence some superluminal entanglons responsible for quantum entanglement but why we cannot see their motion directly. And the answer is very simple just they are not the Standard-Model objects, their size is much smaller than the Planck length and the degree of filling of spacetime is very low. Here, within the Scale-Symmetric Physics (S-SP), [1], we present a new interpretation of the Quantum Mechanics i.e. the superluminal interpretation (SIQM). More details concerning the quantum mechanics in the S-SP we can find in following papers [1] – [10]. Werner Heisenberg used term “the ideological superstructures” to the hidden-variables theory. All known interpretations of quantum mechanics deserve such a term. It follows from the fact that all mainstream interpretations neglect physical consistency of the 3-dimensional wave functions. A wave function which fills up the Universe cannot be a coherent physical object when distant points of the wave function cannot communicate with superluminal speed. Just period of a local change in the wave function (due to a luminal Standard-Model interaction) cannot be shorter than size of the wave function divided by superluminal speed. The shortest luminal lifetimes are about 10– s whereas the present-day size of the Universe is about 10 m – it leads to conclusion that there must be in existence a fifth interaction with speed of interaction higher than about 10 m/s. Only then the quantum mechanics can be