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Philosophy of Science and Technology

Trying to Fancy What the Flame of a Candle Is Like After the Candle Is Blown Out: Some Notes About the Ontological Structure of the Copenhagen Interpretation of Quantum Mechanics

Luigi Laino

Published Jan 1, 2017• 0 citations
Publisher

Abstract

In the present article the author will deal with an inquiry of the ontological structure of quantum mechanics, and he will analyze the evolution of the heno-ontological equation (the identity of being one and of being) in the shape of the new arrangement prepared by the orthodox interpretation of the theory.Hence the article will particularly focus on the Copenhagen interpretation and the lack of intuition [Anschaulichkeit] in the representation of physical external objects; as far as the latter topic is concerned, the author will also consider the classic representation of Heisenberg's philosophy given by Heelan.The author will then show the impossibility of holding the old physical body-representation which worked for classical mechanics as well, because quantum mechanics denies an absolute localizability of physical entities.A non-defective determination of localizability was in fact the very postulate which lays at the basis of the heno-ontological equation as Aristotle had envisaged it: what is not localizable, is not one being.It also has to be considered a specific lack as regards the chronological permanence of the identity of the quantum object, which appears to be constantly modified by its interaction with the devices and with other particles.Accordingly, the author will explain the peculiar definition of physical entity in the Copenhagen interpretation of quantum mechanics as a non-substantial entity, as a non-body, considering the argument that henceforth the actual substance, in physics, will be only the whole totality.Arguing about the latter point, the author will develop a definition of individuality which could not be extraneous to the most recent interpretations of quantum mechanics.He will indeed aim for a non strictly ontological definition of individuality, if one has to figure out the individuum as a body of daily experience.Rather than a body, the quantum individuum is almost a being whose ontological content is only relative to the transformations of a primitive context: this implies that his ontological charge cannot be considered permanent.From this point of view, one can argue that quantum mechanics is very close to the old representation of nature as being by the ancient Greek physicists, which tended to distinguish between the ontological definition of individual entities and the unity of being as a whole.Hence the article will show, through Cassirer's review, how it is possible to depict a new setting for the relationship between one and being, as well as trying to shed some light on the basic assumptions of the ontology of Copenhagen interpretation and of modern quantum mechanics.

DOI
10.21146/2413-9084-2017-22-1-93-110

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In the present article the author will deal with an inquiry of the ontological structure of quantum mechanics, and he will analyze the evolution of the heno-ontological equation (the identity of being one and of being) in the shape of the new arrangement prepared by the orthodox interpretation of the theory.Hence the article will particularly focus on the Copenhagen interpretation and the lack of intuition [Anschaulichkeit] in the representation of physical external objects; as far as the latter topic is concerned, the author will also consider the classic representation of Heisenberg's philosophy given by Heelan.The author will then show the impossibility of holding the old physical body-representation which worked for classical mechanics as well, because quantum mechanics denies an absolute localizability of physical entities.A non-defective determination of localizability was in fact the very postulate which lays at the basis of the heno-ontological equation as Aristotle had envisaged it: what is not localizable, is not one being.It also has to be considered a specific lack as regards the chronological permanence of the identity of the quantum object, which appears to be constantly modified by its interaction with the devices and with other particles.Accordingly, the author will explain the peculiar definition of physical entity in the Copenhagen interpretation of quantum mechanics as a non-substantial entity, as a non-body, considering the argument that henceforth the actual substance, in physics, will be only the whole totality.Arguing about the latter point, the author will develop a definition of individuality which could not be extraneous to the most recent interpretations of quantum mechanics.He will indeed aim for a non strictly ontological definition of individuality, if one has to figure out the individuum as a body of daily experience.Rather than a body, the quantum individuum is almost a being whose ontological content is only relative to the transformations of a primitive context: this implies that his ontological charge cannot be considered permanent.From this point of view, one can argue that quantum mechanics is very close to the old representation of nature as being by the ancient Greek physicists, which tended to distinguish between the ontological definition of individual entities and the unity of being as a whole.Hence the article will show, through Cassirer's review, how it is possible to depict a new setting for the relationship between one and being, as well as trying to shed some light on the basic assumptions of the ontology of Copenhagen interpretation and of modern quantum mechanics.
Quantum mechanics has maintained over the years the reputation of being "the most obscure theory." It works perfectly well, but nobody seems to know why. It has been argued that the difficulty in understanding quantum theory is our failed attempt to force onto it a wrong conceptual scheme, wanting at all costs to think about the objects of the theory as, precisely, objects, i.e., entities having continuously actual spatiotemporal properties. This too restrictive spatiotemporal scheme is most probably at the heart of the problem, as also underlined by the Einsteinian revolution, but then what could be an alternative? Many thinkers have suggested that we must surrender to the fact that our physical world is one of immanent powers and potencies. Aristotle did so ante quantum litteram, followed by scholars like Heisenberg, Primas, Shimony, Piron, Kastner, Kauffman, de Ronde, just to name a few, including the authors, who were both students of Piron in Geneva. However, if on the one hand a potentiality ontology puts the accent on the processes of change, responsible for the incessant shifts between actual and potential properties, on the other hand it does not tell what these changes are all about. In other words, the metaphysical question remains of identifying the nature of the bearer of these potencies, or potentialities, and of the entities that can actualize them. It is the purpose of the present article to emphasize that the above question has found a possible answer in the recent Conceptuality Interpretation of Quantum Mechanics, which we believe offers the missing ontology and metaphysics that can make the theory fully intelligible, and even intuitive.
In this work, we focus on a very specific case study: assuming that quantum theories deal with “particles” of some kind (point particles in orthodox non-relativistic quantum mechanics, field excitations in quantum field theories), what kind of entity can such particles be? One possible answer, the one we shall examine here, is that they are not the usual kind of object found in daily life: individuals. Rather, we follow a suggestion by Erwin Schrödinger, according to which quantum mechanics poses a revolutionary kind of entity: non-individuals. While physics, as a scientific field, is not concerned with whether entities posited by a specific physical theory are individuals or not, answering this question is part of the quest for a better understanding of physical reality. Here lies, in large measure, the relevance of ontology.
In the non-reflexive formulation of quantum physics, attention is given to a metaphysical view of quantum objects (q-objects) as non-individuals, characterised as entities to which the standard notion of identity lacks sense. The reference to the nature of q-objects is usually omitted in other interpretations and the most we can find is some vague reference to “to each [quantum] system we associate a Hilbert space”, and nothing more is said about them; we need to infer from the theory their characteristics, and it gives us several alternatives. One of them, to be justified here in broad aspects, is the non-individual view. It is important to enlighten that we are not trying to just find a way to deal with quantum entities but to defend a possible ontology of non-individuals, which can be applied also to ‘particles’ arising from quantum fields. Our account is based on two assumptions: (i) the ‘classical theory of identity’ does not apply to q-objects, and (ii) their non-individuality must be attributed from the start, that is, as a primitive notion and not ‘made a posteriori’ say by assuming symmetry principles. The underlying logic is called non-reflexive because the reflexive law of identity ∀x(x=x)\forall{x{({x = x})}}∀x(x=x) is supposed not to hold for q-objects. Since all the details demand a lot of space, here we only sketch and justify our view. The references provide a more detailed account.
This article deals with the Copenhagen interpretation of quantum mechanics and its epistemological discussion by Ernst Cassirer and Richard Hönigswald. The starting point is Cassirer's treatise Determinism and Indeterminism in Modern Physics, published in Stockholm. Both philosophers and several physicists were involved in the subsequent exchange of letters. From a physical point of view, the Copenhagen interpretation was particularly criticised by v. Laue and Einstein. Both demanded a revision of the foundations of quantum mechanics or a critical examination of essential physical concepts. The epistemological implications of the Copenhagen interpretation were rejected, in particular that the interactions between observation, the observed and the observer in quantum physics experiments should lead to a renunciation of the concept of causality or an objectively unambiguous description of natural processes. Cassirer argues here that quantum mechanics fulfils the epistemological requirement of transforming ontological “concepts of things” into epistemological concepts of relations and is therefore compatible with the neo-critical approach he advocates. At the same time, Hönigswald was working on two major treatises on the structure of physics and the concept of causality. Here he undertakes an epistemological foundation of physics as a whole. A transcendental foundation of the concept of experience and its specifications in principles such as contemplation, observation or experiment appears to be called for. Hönigswald therefore essentially rejects the Copenhagen interpretation, as it draws epistemological consequences by physical means and thus inadmissibly reverses the transcendentally necessary relations of justification. These arguments are examined and could be used for a current discussion on the epistemological foundations of quantum mechanics and physics as a whole. A post-Neo-Kantian, transcendental philosophical foundation of scientific knowledge, especially of modern physics, seems possible and necessary.
This thesis examines the concepts of identity and individuality via scientifically-informed philosophical analysis. It has two parts. The first part deals with metaphysical claims that turn out to be, in effect, very general empirical claims extracted from our (supposed, but rationally-accredited) knowledge of the world. I here compare two approaches: a) the Leibniz-Quine view of identity as a derivative relation, and, relatedly, of individuality as dependent on the qualities of things; and b) the view that identity is a non-analysable primitive, and, relatedly, that the individuality of things is not reducible to anything else. The former position, based on the Principle of the Identity of the Indiscernibles as a criterion of individuation, might appear prima facie more plausible. However, I argue that it runs into difficulties both at the level of a priori analysis and in terms of 'fit' with the evidence described by our best science. It is, in fact, not even as compelling from the empiricist point of view as is commonly believed. I therefore argue that the position that identity and individuality are primitive may be preferred. In the second part of the thesis - under the assumption that the proper role of metaphysics is to characterise the best solutions to issues that are left open by current science - I deal with the question regarding whether and how the ultimate constituents of reality can actually be conceived of as primitive individuals. I argue in favour of an ontology of tropes, develop the view in detail and defend it against various criticisms. The fundamental tropes that constitute the basic 'building blocks' of reality are identified with the state-independent properties of elementary particles. The way in which these constitute complex particulars is described, and certain peculiarities having to do with quantum statistics are accounted for. I conclude by suggesting possible avenues for further research.
The aim of the article is to analyze the ontological foundations of quantum mechanics and the relationship of various interpretations of quantum mechanics with the question of truth in scientific knowledge. The theoretical material (various interpretations of quantum mechanics) was analyzed. The research methods were analysis, comparative-historical and institutional approaches. On the basis of the study, it can be concluded that physicists are only able to predict the probabilities of physical phenomena or processes, without any knowledge of the structure of entity in itself. The study helps to complement the theoretical picture of the ontology of quantum mechanics and to get an idea about the development prospects of the methodology of physical sciences. We should not ascribe properties that are unobservable in experience to the entity because science can truly interpret only the representation of entity in itself in experience and the ways of dealing with it, not future events or possible states of the entity. Otherwise, science “slides” down to the level of dialectical (rhetorical) exercises based not on true premises, but on generally accepted or “authoritative” biases, which gives room to extreme forms of relativism and takes natural scientists away from studying nature to inventing empirically unsupported hypotheses. When, in accordance with the Cartesian ontology, the scientist assumes that the entity is as the “subject” observes it (that is, the “reflection” of the entity in consciousness is identified with entity in itself), this assumption leads the scientist to attempts to “scientifically” describe the future events or the possible states of the entity. The criterion for the truth of a scientific theory put forward by Einstein in his dispute with Bohr remains a fundamentally unattainable ideal. Cognition of nature is probabilistically and fundamentally incomplete since a person can consciously comprehend natural phenomena only within the framework of their representation in the existing being. The probabilistic nature of quantum mechanics is due to the impossibility of knowing things as they exist by themselves, that is, as they exist outside of representation in the mind of the observer. This does not mean that physical entities did not exist before their knowledge: they existed potentially, but were not valid for the observer, that is, conscious. Quantum physics is as incomplete as any other physical theory when compared with an unattainable ideal, but this fact does not negate its truth for modern scientists since quantum theory is based on the results of verified experiments.