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Quantum mechanics interpretation the limits——And to defend orthodox interpretation

Chen Gu-qing

Published Jan 1, 2006• 0 citations
OpenAlex

Abstract

The various interpretation to Quantum mechanics exist limitations in varying degrees,to replace orthodox interpretation of the programme is bound to the embarrassing situation.This is so because it is the classic physics language can not be used as an accurate language interpretation of quantum mechanics.Despite orthodox interpretation has shortcomings also,compare other interpretation,orthodox interpretation of quantum mechanics still be an excellent one.

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The various interpretation to Quantum mechanics exist limitations in varying degrees,to replace orthodox interpretation of the programme is bound to the embarrassing situation.This is so because it is the classic physics language can not be used as an accurate language interpretation of quantum mechanics.Despite orthodox interpretation has shortcomings also,compare other interpretation,orthodox interpretation of quantum mechanics still be an excellent one.
Mainly due to the EPR trio having declared quantum mechanics as ‘not complete’ and given the acid criticisms of Schrödinger, including his famous cat paradox , many physicists felt encouraged to introduce new interpretations to confront a vaguely assembled orthodox interpretation . Indeed, there are numerous interpretations of quantum mechanics, so numerous that we have decided not to even enter into the interpretational arena, leaving that to the professionals and citing their encyclopedic works instead. In this regard, we are compelled to quote Dyson: ‘We still have passionate arguments between believers of various interpretations… The reason for these arguments is that various interpreters are trying to describe the quantum world in words… and the language is inappropriate for the purpose.’ Here, a humble approach to this subject is taken whilst opting for pragmatism.
In the 20th century the Copenhagen interpretation of quantum mechanics had the leading position. This interpretation was formulated by N. Bohr and W. Hei­senberg in the late twenties and in thirties and was named the orthodox interpretation as it was presented in leading textbooks. The alternative interpretations arose, however they were treated in connection with the problems, which were typical for the orthodox interpretation. In the 21st century the new situation arose. A number of non-orthodox interpretations has been taken under consi­deration by the physicists, and they have been treated in connection withtheir specific methodological problems. In the present paper we refer to the list of the popular interpretations of quantum mechanics, the list which was compiled on the basis of two sources: 1) a survey of the physicists who participated in the seminar which was organized by the Nobel Prize winner A. Zeilinger, and 2) a review of the literature, provided by the French physicist and the historian of physics F. Laloë. We take under consideration the following interpretations: the Copenhagen interpretation, information interpretation (A. Zeilinger), many-worlds interpretation (H. Everett, B. DeWitt); interpretation of relative states (H. Everett); interpretation of objective collapse (R. Penrose); subjectivist (Bayesian) interpretation.
What do we expect of a quantum logical interpretation of quantum mechanics worthy of the name? In what sense should it resolve the paradoxes? What scope should it have? Should quantum logic, if it is successful in the micro world, replace classical logic in the macro world and in mathematics? We distinguish between two kinds of quantum logical interpretations of quantum mechanics. An example of the first kind, the activist kind, will do much more than simply rewrite the assertions that quantum mechanics makes about the quantum world in an unfamiliar notation - in the elementary language of quantum mechanics. It will offer a solution to the major puzzles of quantum mechanics. It will show that the paradoxes of quantum mechanics can be resolved if we do away with classical logic and replace it with quantum logic, at least in our descriptions of quantum phenomena. It may defend a form of quantum-mechanical realism, a sort of quantum logical particle view of quantum systems, protecting it from the paradoxes that classical logic would impose on it. The second kind of quantum logical interpretation, the passive or quietist kind, is less ambitious. A quietist interpretation offers a solution to the paradoxes only in the following sense. It will assert that quantum mechanics, when it describes quantum phenomena in the elementary language, need not generate paradox, that the so-called paradoxes are not even formulable in quantum logic.
Quantum Mechanics is a fundamental physical theory about atomic-scale processes. It was built between 1920 and 1940 by the most distinguished physicists of that time. The accordance between the predictions of the theory and experimental results is remarkable. The physical interpretation of its mathematical constructs, however, raised unprecedented controversies. Ontological, semantic, and epistemic vagueness abound in the orthodox interpretations and have resulted in serious misunderstandings that are often repeated in textbooks and elsewhere. In this work, we identify, criticize, and clarify the most spread ones.
There is no such thing as “The Quantum Logical Interpretation of Quantum Mechanics”. Rather, there is a cluster of interpretations, all of which can be described as “quantum logical”. Here I provide a general framework for discussing interpretations of this kind, and then locate various suggestions within it. The presentation owes much to van Fraassen (see, in particular, van Fraassen 1974 ); his “modal interpretation” is one of those I discuss, along with those of Jauch, Putnam and Kochen. I begin by rehearsing some orthodox quantum theory. Within quantum mechanics we deal with a set 0 of measurable quantities, orobservables(position, momentum, components of spin and so on). Experiment can determine the value of an observable for a given system: the values so determined will be real numbers. A maximal amount of information about what the result would be for a given system, whatever experiment we chose to perform on it, is available once we know thestateof the system.
The centenary of quantum mechanics brings into focus the question of the accuracy of established terminology for describing the radical transformations that occurred. Critical analysis reveals that the term “quantum revolution” fosters a simplified perception of a single, pivotal turn in physics during the 1920s and 1930s and provides a superficial account of the actual changes over the past 100 years. This article critically re-examines the established term “quantum revolution” from the perspective of its conceptual limitations in describing the real changes of the last century. Arguments are presented for its partial replacement with the more flexible concept of “revolutionary transformations in quantum theory and its interpretations”, which emphasises the processual and multifaceted nature of these changes. The methodological foundation of this research is the distinction between two types of interpretations of quantum theory: “pragmatic” interpretations, which focus on connecting the formalism with experiment, and “explanatory” interpretations, which aim to form conceptions of quantum reality. The application of the concept of a quantum revolution is justified for the pragmatic interpretation, which was formed in 1925–1927 and later became established as the orthodox view, but not for interpretations of the explanatory type. Three initial strategies for preserving classical language in the description of quantum phenomena are identified: classical realism, quantum dualism, and instrumentalism. The analysis addresses persistent historiographical myths surrounding the Copenhagen interpretation – namely, that it is inherent in the postulates of quantum theory, and that it is inherently instrumentalist and subjectivist. A distinction is shown between the orthodox (pragmatic) and the Copenhagen (explanatory) interpretations. Particular attention is paid to the realistic turn in explanatory interpretations (1952–1958), largely associated with the later works of Heisenberg. It is concluded that the development of quantum theory is characterised not by a single revolution, but by a series of transformations of varying revolutionary intensity, many of which occurred in parallel and are still far from complete.