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International Journal of Applied Physics and Mathematics

Anti Heisenberg – Refutation of Heisenberg’s Uncertainty Principle

Horandstrasse, Jever, Germany, Ilija Barukčić

Published Jan 1, 2014• 13 citations
Publisher

Abstract

oday the so-called Copenhagen Interpretation of quantum mechanics dominated description of the physical world still denies the possibility to assign exact simultaneous values to (all) physical quantities. A prime example is claimed to be the fundamental and universal relationship between position and momentum of a particle. According to Heisenberg's quantum mechanical uncertainty principle for position and momentum, the more precisely the momentum (position) of a particle is given, the less precisely can one say what its position (momentum) is and vice versa.\nThe purpose of this publication is to provide a mathematical proof that Heisenberg's uncertainty principle for position and momentum is refuted under any circumstances. As we shall see, accept Heisenberg's uncertainty principle as valid then you must accept too that +0 = +1, which is a logical contradiction. Thus far, it is possible to derive a logical contradiction out of Heisenberg's uncertainty principle. Heisenberg's uncertainty principle is refuted.

DOI
10.7763/ijapm.2014.v4.292

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oday the so-called Copenhagen Interpretation of quantum mechanics dominated description of the physical world still denies the possibility to assign exact simultaneous values to (all) physical quantities. A prime example is claimed to be the fundamental and universal relationship between position and momentum of a particle. According to Heisenberg's quantum mechanical uncertainty principle for position and momentum, the more precisely the momentum (position) of a particle is given, the less precisely can one say what its position (momentum) is and vice versa.\nThe purpose of this publication is to provide a mathematical proof that Heisenberg's uncertainty principle for position and momentum is refuted under any circumstances. As we shall see, accept Heisenberg's uncertainty principle as valid then you must accept too that +0 = +1, which is a logical contradiction. Thus far, it is possible to derive a logical contradiction out of Heisenberg's uncertainty principle. Heisenberg's uncertainty principle is refuted.
The quantum mechanical uncertainty principle for position and momentum plays an important role in many treatments on the (philosophical, physical and other) implications of quantum mechanics. Roughly speaking, the more precisely the momentum (position) of a (quantum mechanical) object is given, the less precisely can one say what its position (momentum) is. This quantum mechanical measurement problem is not just an interpretational difficulty, it raises broader issues as well. The measurement (of a property) of a (quantum mechanical) object determines the existence of the measured. In brief, the quantum mechanical uncertainty principle challenges some fundamental principles of Science and especially the principle of causality. In particular, an independently existing (external) objective reality is denied. As we shall see, that the quantum mechanical uncertainty principle for position and momentum is based on the assumption that 1⩽0, which is a logical contradiction.
The quantum mechanical uncertainty principle for position and momentum plays an important role in many treatments on the (philosophical, physical and other) implications of quantum mechanics. Roughly speaking, the more precisely the momentum (position) of a (quantum mechanical) object is given, the less precisely can one say what its position (momentum) is. This quantum mechanical measurement problem is not just an interpretational difficulty, it raises broader issues as well. The measurement (of a property) of a (quantum mechanical) object determines the existence of the measured. In brief, the quantum mechanical uncertainty principle challenges some fundamental principles of Science and especially the principle of causality. In particular, an independently existing (external) objective reality is denied. As we shall see, that the quantum mechanical uncertainty principle for position and momentum is based on the assumption that 1⩽0, which is a logical contradiction.
In contrast to many other physical theories, quantum mechanics is generally regarded as above any theory we have ever had and perhaps the best candidate for a universal and fundamental description of objective realty as such. Heisenberg’s uncertainty principle is not the only aspect of the conceptual difference between quantum and classical physics but is certainly one of the most important and famous aspects of quantum mechanics. As we will see, quantum mechanics as a theory and especially Heisenberg’s uncertainty principle challenges not only our imagination but violates some fundamental principles of classical logic as such. Heisenberg’s uncertainty principle is refuted.
Heisenberg guessed, after he established the matrix quantum mechanics, that the non-commutativity of the matrices of position and momentum implied that the position and momentum of a particle could not be precisely simultaneously determined. He consequently conjectured that time and energy should also have a similar relationship. Soon after, Robertson derived an inequality concerning the space coordinate and momentum, which was thought to be the mathematical expression of the uncertainty relation guessed by Heisenberg. Since then, people have tried various devices to prove the correctness of these two relations. However, no one conducted a careful analysis of Heisenberg’s primary paper. In this work, we point out some serious problems in Heisenberg’s paper and the literature talking about the uncertainty relationships: the physical concepts involved in the uncertainty relations are not clear; one physical concept had more than one explanation, i.e., switching concepts; there has never been measurement experiment to support the relations. The conclusions are that the so-called coordinate–momentum uncertainty relation has never been related to actual measurement and there does not exist a time–energy uncertainty relation.
A review is given of precise formulations of three conceptually distinct but related manifestations of Heisenberg's Uncertainty Principle. This principle appears in the form of trade-off inequalities: for the widths of the position and momentum distributions in any quantum state; for the inaccuracies of any joint measurement of these quantities; and for the inaccuracy of a measurement of one of the quantities and the ensuing disturbance in the distribution of the other quantity. The uncertainty principle is often described as expressing a limitation of operational possibilities imposed by quantum mechanics. Here we demonstrate that apart from this negative role, the full content of the uncertainty principle also includes its positive role as a condition ensuring that mutually exclusive experimental options can indeed be reconciled if an appropriate trade-off is accepted. Finally, we survey models and experimental implementations of joint measurements of position and momentum and comment briefly on the status of experimental tests of the uncertainty principle.
Abstract One of the foundational principles of quantum mechanics is Heisenberg’s uncertainty relation. According to this relation, no one can measure both the position of a particle and how fast it is moving simultaneously no matter how precise the measuring instruments. Heisenberg’s uncertainty relation and the associated Bohr’s principle of complementarity are explained using simple examples. The idea that measurement disturbs the system is a source of the uncertainty. The philosophical question whether the uncertainty represents only our inability to measure the properties precisely or it has much deeper consequences related to the question of reality is also discussed.