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Connection Between Time Quantization in the Frame of Non-Local Relativistic Physics and Shannon-Nyquist-Kotelnikov Theorem
Current Issue
Volume 2, 2015
Issue 3 (June)
Pages: 40-57   |   Vol. 2, No. 3, June 2015   |   Follow on         
Paper in PDF Downloads: 18   Since Aug. 28, 2015 Views: 1625   Since Aug. 28, 2015
Authors
[1]
Boris V. Alexeev, Physics Department, Moscow Lomonosov State University of Fine Chemical Technologies, Moscow, Russia.
Abstract
The aim of the sampling theorem consists in obtaining a formula for reconstruction of the original signal. The constructive proof of the theorem leads to an understanding of the aliasing that can occur when a sampling system does not satisfy the conditions of the theorem. From the first glance the sampling theorem has only mathematical content leaving aside the physical origin of the time quantization. In the following paper is shown that the sampling theorem is a consequence of relativistic non-local physics.
Keywords
Time Quantization, Shannon-Nyquist-Kotelnikov Theorem, Non-Local Relativistic Hydrodynamics, Sampling Theorem
Reference
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Shannon C.E. Communication in the presence of noise. Proc. Institute of Radio Engineers, vol. 37, no.1, pp. 10—21, Jan. 1949.
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