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Uncertainty Principle Fully Explained by Simple Novel Example

Mueiz Gafer KamalEldeen

Published Aug 1, 2021• 0 citations
OpenAlex

Abstract

Simple thought experiment is used to explain how Uncertainty Principle arises from the conflict between the results of measurement on a real system and the restrictions of our conceptual model needed to make it conceivable to classical mind

Related papers

Examples of the uncertainty principle

C. G. DARWIN

Abstract 1. In the general synthesis of classical dynamics with the quantum theory, the Uncertainty Principle plays a most useful part. It is of course only one aspect of the new mechanics, but it is a very helpful one since by its means it becomes easy to see where the old classical ideas broke down. The state of affairs in the quantum theory is not unlike that of the early days of relativity, when most of those who studied the subject felt the need of supporting the formal theory by seeing how the old ideas failed in specific cases. Here the formal theory is very abstract and is not easy to follow intuitively, and the Uncertainty Principle plays much the same rôle as did the examples of clocks and rods in relativity theory. For this reason it is more appropriate for illustrative examples, than for any extreme generality, and though a number of examples have been already given by Heisenberg and Bohr, it may not be amiss to have some more. There are probably some who will have shared my experience that it is often by no means easy to detect how the uncertainty enters into a given experiment, though once detected the arguments are usually very simple. In a recent conversation Professor Bohr criticised some rather careless remarks that I had made, and the present work was undertaken to clear matters up. It may be shortly described as a study of the Uncertainty Principle in connection with electrometers and magnetometers. It may be of interest to point out that the Uncertainty Principle can be regarded from a rather different aspect. The "resolving power" of optical instruments was discussed very fully by Rayleigh on wave principles, but as long as matter was regarded in the classical manner, a mechanical instrument could be considered as capable of measuring quantities with absolute accuracy. Now that we know that matter also has wave properties, there is need of a theory of the resolving power of mechanical instruments, and this is exactly what the Uncertainty Principle supplies.

Proceedings of the Royal Society of London Series A Containing Papers of a Mathematical and Physical Character•Mar 2, 1931•6 citations

Two Uncertainty Principles

Anthony Pinedo Araujo

There are two uncertainty principles, but most of students get confused between both of them because of the lack of conceptual context that this topic is explained in books. In this article, both principles are discussed, making the differences between them clear. Also, I propose some examples that are very easy to understand by students.

•Feb 1, 2010•0 citations

Experimental Realization of Popper's Experiment - Violation of The Uncertainty Principle?

Yanhua H. Shih, Yoon-Ho Kim

Uncertainty, being perhaps the most basic principle of quantum mechanics, distinguishes the world of quantum phenomena from the realm of classical physics. Quantum entanglement, being perhaps the most surprising consequence of quantum mechanics, on the other hand apparently suggests paradoxes relating to or violations of the quantum mechanical uncertainty principle in some experimental situations. Popper's thought experiment is an example. We wish to report a recent realization of Popper's experiment. The experimental data show that there appears to be a violation of the uncertainty principle. This is, however as we shall argue in this paper, only an illusion provided that we take the teachings of quantum mechanics seriously.

Fortschritte der Physik•May 1, 2000•37 citations

Comment on "Experimental realization of Popper's experiment: Violation of the uncertainty principle?"

Short, A. J.

Application of the uncertainty principle to conditional measurements is investigated, and found to be valid for measurements on separated sub-systems. In light of this, an apparent violation of the uncertainty principle obtained by Kim and Shih in their realization of Popper's experiment (quant-ph/9905039) is explained through analogy with a simple optical system.

arXiv:quant-ph/0005063•May 16, 2000•0 citations

An uncertain world!

Muhammad Suhail Zubairy

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.

•Sep 14, 2023•0 citations

Uncertainty Principle of Mathematics

Mourici Shachter

This short paper prove that mathematically, Reality is not real . This short paper is not about Heisenberg's uncertainty principle of quantum physics. There is another uncertainty principle that depends solely on mathematical arguments and explains why our world can't be easily equated. Or more accurately can be describe in infinitely different ways all of those representations are mathematically correct. Which mean that the representation of any physical phenomena is not unique. . Given an example how to use it to solve complicate problems in engineering

•Jul 1, 2012•0 citations
Abstract 1. In the general synthesis of classical dynamics with the quantum theory, the Uncertainty Principle plays a most useful part. It is of course only one aspect of the new mechanics, but it is a very helpful one since by its means it becomes easy to see where the old classical ideas broke down. The state of affairs in the quantum theory is not unlike that of the early days of relativity, when most of those who studied the subject felt the need of supporting the formal theory by seeing how the old ideas failed in specific cases. Here the formal theory is very abstract and is not easy to follow intuitively, and the Uncertainty Principle plays much the same rôle as did the examples of clocks and rods in relativity theory. For this reason it is more appropriate for illustrative examples, than for any extreme generality, and though a number of examples have been already given by Heisenberg and Bohr, it may not be amiss to have some more. There are probably some who will have shared my experience that it is often by no means easy to detect how the uncertainty enters into a given experiment, though once detected the arguments are usually very simple. In a recent conversation Professor Bohr criticised some rather careless remarks that I had made, and the present work was undertaken to clear matters up. It may be shortly described as a study of the Uncertainty Principle in connection with electrometers and magnetometers. It may be of interest to point out that the Uncertainty Principle can be regarded from a rather different aspect. The "resolving power" of optical instruments was discussed very fully by Rayleigh on wave principles, but as long as matter was regarded in the classical manner, a mechanical instrument could be considered as capable of measuring quantities with absolute accuracy. Now that we know that matter also has wave properties, there is need of a theory of the resolving power of mechanical instruments, and this is exactly what the Uncertainty Principle supplies.
Uncertainty, being perhaps the most basic principle of quantum mechanics, distinguishes the world of quantum phenomena from the realm of classical physics. Quantum entanglement, being perhaps the most surprising consequence of quantum mechanics, on the other hand apparently suggests paradoxes relating to or violations of the quantum mechanical uncertainty principle in some experimental situations. Popper's thought experiment is an example. We wish to report a recent realization of Popper's experiment. The experimental data show that there appears to be a violation of the uncertainty principle. This is, however as we shall argue in this paper, only an illusion provided that we take the teachings of quantum mechanics seriously.
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.
This short paper prove that mathematically, Reality is not real . This short paper is not about Heisenberg's uncertainty principle of quantum physics. There is another uncertainty principle that depends solely on mathematical arguments and explains why our world can't be easily equated. Or more accurately can be describe in infinitely different ways all of those representations are mathematically correct. Which mean that the representation of any physical phenomena is not unique. . Given an example how to use it to solve complicate problems in engineering