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数学和系统科学:英文版

Relationship Between Classical and Quantum Physics

Skender, Ahmetaj, Kabashi, Gazmend, Valon, Veliu

Published Jan 1, 2013• 0 citations
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Consideration of the classic measurement paradox of quantum mechanics raises the question: What is the relationship between acceptable theories of the physical world at different levels? It is suggested that it is similar to the relationship between maps of different types and that, while theories at different levels need not be derivable from one another, they must at least be mutually consistent in their predictions. The relationship between quantum mechanics, in its standard interpretation, and classical physics fails this test. Existing attempts to resolve the measurement paradox are briefly reviewed, and it is suggested that one avenue has been insufficiently explored; namely, the possibility that the complexity of a physical system may itself be a relevant variable which may introdu;ce new physical principles. Possible reasons for this lacuna are discussed, and it is pointed out that some of the relevant questions are now within the reach of an experimental test.
It is thought that quantum mechanics is the physical science describing the behavior of the electron in the micro world, e.g., inside a hydrogen atom. However, the author has previously derived the energy-momentum relationship which holds inside a hydrogen atom. This paper uses that relationship to investigate the relationships between physical quantities which hold in a hydrogen atom. In this paper, formulas are derived which hold in the micro world and make more accurate predictions than the classical quantum theory. This paper concludes that quantum mechanics is not the only theory enabling investigation of the micro world.