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An analysis and explanation of the uncertainty principle

 

作者: Nezameddin Faghih,  

 

期刊: Journal of Interdisciplinary Mathematics  (Taylor Available online 1999)
卷期: Volume 2, issue 2-3  

页码: 89-99

 

ISSN:0972-0502

 

年代: 1999

 

DOI:10.1080/09720502.1999.10700260

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

This paper presents a mathematical approach, based on the spectral analysis and Fourier transformation to derive the principle of uncertainty. The approach presented in this paper is found to be different from those appeared so far in the literature. It shows that the uncertainty principle is, in fact, an aliasing phenomenon and emerges merely from the quantization effect. The concept of ‘certainty’ is also introduced and discussed. It is shown that observation rates higher than the speed of a particle are the only possible approaches to the absence of uncertainty in the measurements of the observable quantities ofthe entity. This would imply that for particles travelling at the velocity of light, data acquisition rates higher than the speed of light should be required. Therefore, the uncertainty principle is related to the theory of relativity and exists so far as the velocity of light poses as an upperlimit universal constant. Otherwise, it would render to ‘certainty’ if our observation abilities could escalade at rates above the speed of light. This is to say that the uncertainty can be an inherent intrinsic property grounded in the universal speed limitation, which also subdues our observation abilities too; else demanding challenges on Einstein’s definition of simultaneity, and hence its consequences, has to be expected.

 

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