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arXiv:quant-ph/0505143 · Foundations of Physics Letters

Classical Mechanics Without Determinism

Hrvoje Nikolić

Published Nov 1, 2006• 14 citations
arXivHTMLPDF
DOI
10.1007/s10702-006-1009-2

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In this paper, we continue the study initiated in preceding works of the argument by A. Einstein, B. Podolsky and N. Rosen according to which quantum mechanics could be “completed” into a broader theory recovering classical determinism. By using the previously achieved isotopic lifting of applied mathematics into isomathematics and that of quantum mechanics into the isotopic branch of hadronic mechanics, we show that extended particles appear to progressively approach classical determinism in the interior of hadrons, nuclei and stars, and appear to recover classical determinism at the limit conditions in the interior of gravitational collapse
Four forms of physical determination are presently known in physics: classical or mechanical determination, related to classical mechanics; dynamical determination, related to the relativistic theories of electromagnetism and gravitation; classical statistical determination, related to classical statistical theories; and quantum statistical determination, related to modern microphysics. The concept of interaction is a fundamental on-tological category, a moment of which is the causal relation; interaction is also local, taking place at finite velocities. Following the evolution of physical theories, it is possible to attest to the historicity of the concept of interaction and, accordingly, of the categories of interaction and determination. According to the Copenhagen School, causality and locality are incompatible with quantum mechanics. On the contrary, according to the point of view developed here, realism, causality and locality are simultaneously compatible in the domain of microphysics.
As one of three revolutions of physics in 20th century,quantum mechanics has greatly transformed the world view of classical science in many aspects.Quantum mechanics breaks though the mechanical determinism in classical science,transforming it into non-mechanical determinism;it changes scientific cognitive process from the theory of reductionism to the theory of wholism;it shifts the way of thinking from pursuing simplicity to exploring the complexity;it also establishes the interaction between subject and object in scientific researches.