Complementarity Principle and the Nonlocal Fourier Analysis New Generation of Microscopes Beyond Heisenberg's Uncertainty Relations The Meaning of the Wave Function Interference Without Superposition of the Wave Packets.
The problem of quantum measurement is analyzed, showing its limitations, when trying to reach objective reality starting from the conventional perspective that the universe is an isolated and self-contained system. The fundamental aspects on which the analysis of quantum measurement is based are the quantum superposition principle and the Heisenberg uncertainty principle. The result that the quantum superposition principle leads to is that the process of quantum measurement would never end when trying to reach objective reality. Using the wave packet model, the result that Heisenberg's uncertainty principle leads to is that the harmonic waves that make up the packet have a constant phase difference, which corresponds to a vibration or fraction of vibration, contradicting the nature of the field. quantum. By using Fourier analysis, it is deduced that the state of a physical system would be completely defined by a spectral distribution of vibration frequencies and, furthermore, it is deduced that every physical system would have a fundamental resonance frequency associated with the underlying vacuum of the system. Consequently, measuring devices designed based on the new proposal would have increasingly greater resolving power, as long as their operating frequency is close to the system's resonance frequency.
The principle of uncertainty is one of the essential principles of quantum mechanics as it outlines that there is a reflective limit to the measurement of microscopic particle motion. However it is impossible to measure at once and accurately both the position and momentum data of any microscopic particle no matter what means are used to do so. This paper starts by discussing the notion and mathematical derivation of the uncertainty principle as put forth by Heisenberg explaining the physical relevance of the principle. It introduces the natural uncertainty the principle introduces to the dynamics of particles in the microscopic world, and the significant part it plays in the theory of quantum mechanics. The article overviews the explanations of the principle on phenomena including atomic stability and scanning tunneling microscopes, and the interference of measurement actions on the states of particles and the shortcomings of measurement precision. According to the wave-particle duality of quantum mechanics, this article gives a required theoretical basis of microscopic phenomena. Likewise, the use of the research theory on the uncertainty principle by distinguished scholars in the physics fraternity helps the readers in achieving the knowledge in related subjects more easily.