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  1. Quasi-set theory: a formal approach to a quantum ontology of properties.Federico Holik, Juan Pablo Jorge, Décio Krause & Olimpia Lombardi - 2022 - Synthese 200 (5):1-26.
    In previous works, an ontology of properties for quantum mechanics has been proposed, according to which quantum systems are bundles of properties with no principle of individuality. The aim of the present article is to show that, since quasi-set theory is particularly suited for dealing with aggregates of items that do not belong to the traditional category of individual, it supplies an adequate meta-language to speak of the proposed ontology of properties and its structure.
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  • Quantum Modal Indeterminacy.Claudio Calosi - 2022 - Studies in History and Philosophy of Science Part A 95:177-184.
  • Trans-statistical Behavior of a Multiparticle System in an Ontology of Properties.Matías Pasqualini & Sebastian Fortin - 2022 - Foundations of Physics 52 (4):1-19.
    In the last years, the surprising bosonic behavior that a many-fermion system may acquire has raised interest because of theoretical and practical reasons. This trans-statistical behavior is usually considered to be the result of approximation modeling methods generally employed by physicists when faced with complexity. In this paper, we take a tensor product structure and an ontology of properties approach and provide two versions of a toy model in order to argue that trans-statistical behavior allows for a realistic interpretation.
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  • How Different Interpretations of Quantum Mechanics can Enrich Each Other: The Case of the Relational Quantum Mechanics and the Modal-Hamiltonian Interpretation.Olimpia Lombardi & Juan Sebastián Ardenghi - 2022 - Foundations of Physics 52 (3):1-21.
    In the literature on the interpretation of quantum mechanics, not many works attempt to adopt a proactive perspective aimed at seeing how different interpretations can enrich each other through a productive dialogue. In particular, few proposals have been devised to show that different approaches can be clarified by comparing them, and can even complement each other, improving or leading to a more fertile overall approach. The purpose of this paper is framed within this perspective of complementation and mutual enrichment. In (...)
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  • Modal Interpretations of Quantum Mechanics.Olimpia Lombardi & Dennis Dieks - forthcoming - Stanford Encyclopedia of Philosophy.
  • Modal Interpretations of Quantum Mechanics.Michael Dickson - 2008 - Stanford Encyclopedia of Philosophy.
  • The Minimal Modal Interpretation of Quantum Theory.Jacob Barandes & David Kagan - manuscript
    We introduce a realist, unextravagant interpretation of quantum theory that builds on the existing physical structure of the theory and allows experiments to have definite outcomes but leaves the theory’s basic dynamical content essentially intact. Much as classical systems have specific states that evolve along definite trajectories through configuration spaces, the traditional formulation of quantum theory permits assuming that closed quantum systems have specific states that evolve unitarily along definite trajectories through Hilbert spaces, and our interpretation extends this intuitive picture (...)
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  • Do Molecules Have Structure in Isolation? How Models Can Provide the Answer.Vanessa Seifert - 2022 - In Olimpia Lombardi, Juan Camilo Martínez & Sebastian Fortin (eds.), Philosophical Perspectives on Quantum Chemistry. Springer Cham. pp. 125–143.
    I argue that molecules may not have structure in isolation. I support this by investigating how quantum models identify structure for isolated molecules. Specifically, I distinguish between two sets of models: those that identify structure in isolation and those that do not. The former identify structure because they presuppose structural information about the target system via the Born- Oppenheimer approximation. However, it is an idealisation to assume structure in isolation because there is no empirical evidence of this. In fact, whenever (...)
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  • Is Quantum Indeterminism Real? Theological Implications.Claudia E. Vanney - 2015 - Zygon 50 (3):736-756.
    Quantum mechanics studies physical phenomena on a microscopic scale. These phenomena are far beyond the reach of our observation, and the connection between QM's mathematical formalism and the experimental results is very indirect. Furthermore, quantum indeterminism defies common sense. Microphysical experiments have shown that, according to the empirical context, electrons and quanta of light behave as waves and other times as particles, even though it is impossible to design an experiment that manifests both behaviors at the same time. Unlike Newtonian (...)
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  • The Problem of Optical Isomerism and the Interpretation of Quantum Mechanics.Juan Martínez González - 2019 - Foundations of Chemistry 21 (1):97-107.
    When young Kant meditated upon the distinction between his right and left hands, he could not foresee that the problem of incongruent counterparts would revive in the twentieth century under a new form. In the early days of quantum chemistry, Friedrich Hund developed the so-called Hund paradox that arises from the supposed inability of quantum mechanics to account for the difference between enantiomers. In this paper, the paradox is expressed as a case of quantum measurement, stressing that decoherence does not (...)
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  • Is the problem of molecular structure just the quantum measurement problem?Sebastian Fortin & Olimpia Lombardi - 2021 - Foundations of Chemistry 23 (3):379-395.
    In a recent article entitled “The problem of molecular structure just is the measurement problem”, Alexander Franklin and Vanessa Seifert argue that insofar as the quantum measurement problem is solved, the problems of molecular structure are resolved as well. The purpose of the present article is to show that such a claim is too optimistic. Although the solution of the quantum measurement problem is relevant to how the problem of molecular structure is faced, such a solution is not sufficient to (...)
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  • Entanglement and Indistinguishability in a Quantum Ontology of Properties.Sebastian Fortin & Olimpia Lombardi - 2022 - Studies in History and Philosophy of Science Part A 91:234-243.
  • Relational Event-Time in Quantum Mechanics.Matías Pasqualini, Olimpia Lombardi & Sebastian Fortin - 2021 - Foundations of Physics 52 (1):1-25.
    Some authors, inspired by the theoretical requirements for the formulation of a quantum theory of gravity, proposed a relational reconstruction of the quantum parameter-time—the time of the unitary evolution, which would make quantum mechanics compatible with relativity. The aim of the present work is to follow the lead of those relational programs by proposing a relational reconstruction of the event-time—which orders the detection of the definite values of the system’s observables. Such a reconstruction will be based on the modal-Hamiltonian interpretation (...)
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  • Linking Chemistry with Physics: Arguments and Counterarguments. [REVIEW]Olimpia Lombardi - 2014 - Foundations of Chemistry 16 (3):181-192.
    The many-faced relationship between chemistry and physics is one of the most discussed topics in the philosophy of chemistry. In his recent book Reducing Chemistry to Physics. Limits, Models, Consequences, Hinne Hettema conceives this relationship as a reduction link, and devotes his work to defend this position on the basis of a “naturalized” concept of reduction. In the present paper I critically review three kinds of issues stemming from Hettema’s argumentation: philosophical, scientific and methodological.
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  • Compatibility Between Environment-Induced Decoherence and the Modal-Hamiltonian Interpretation of Quantum Mechanics.Olimpia Lombardi, Juan Sebastián Ardenghi, Sebastian Fortin & Mario Castagnino - 2011 - Philosophy of Science 78 (5):1024-1036.
    Given the impressive success of environment-induced decoherence, nowadays no interpretation of quantum mechanics can ignore its results. The modal-Hamiltonian interpretation has proved to be effective for solving several interpretative problems, but since its actualization rule applies to closed systems, it seems to stand at odds with EID. The purpose of this article is to show that this is not the case: the states einselected by the interaction with the environment according to EID are the eigenvectors of an actual-valued observable belonging (...)
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  • Eschewing Entities: Outlining a Biology Based Form of Structural Realism.Steven French - 2013 - In Vassilios Karakostas & Dennis Dieks (eds.), Epsa11 Perspectives and Foundational Problems in Philosophy of Science. Springer. pp. 371--381.
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  • On the Classification Between $$psi$$ ψ -Ontic and $$psi$$ ψ -Epistemic Ontological Models.Andrea Oldofredi & Cristian López - 2020 - Foundations of Physics 50 (11):1315-1345.
    Harrigan and Spekkens provided a categorization of quantum ontological models classifying them as \-ontic or \-epistemic if the quantum state \ describes respectively either a physical reality or mere observers’ knowledge. Moreover, they claimed that Einstein—who was a supporter of the statistical interpretation of quantum mechanics—endorsed an epistemic view of \ In this essay we critically assess such a classification and some of its consequences by proposing a twofold argumentation. Firstly, we show that Harrigan and Spekkens’ categorization implicitly assumes that (...)
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  • Aplicaciones intencionales de la mecánica cuántica.Mariano Lastiri - 2012 - Agora 31 (2):271-285.
    Este trabajo presenta algunas discusiones preliminares a una reconstrucción de la mecánicacuántica desde una perspectiva estructuralista. Intento responder a la pregunta por lostérminos MQ- no teóricos, es decir, qué magnitudes pueden ser medidas con independenciade la ecuación de Schrödinger y de la regla de Born. Uno de los aspectos relevantes que puedeser analizado una vez que se ha respondido a esta pregunta es el problema de la medición.Dado que el problema de la medición está directamente relacionado con el carácter linealde (...)
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  • Classical Genetics and the Theory-Net of Genetics.Pablo Lorenzano - 2000 - In Joseph D. Sneed, Wolfgang Balzer & C.-Ulises Moulines (eds.), Structuralist Knowledge Representation: Paradigmatic Examples. Rodopi. pp. 75-251.
    This article presents a reconstruction of the so-called classical, formal or Mendelian genetics, which is intended to be more complete and adequate than existing reconstructions. This reconstruction has been carried out with the instruments, duly modified and extended with respect to the case under consideration, of the structuralist conception of theories. The so-called Mendel’s Laws, as well as linkage genetics and gene mapping are formulated in a precise manner while the global structure of genetics is represented as a theory-net. These (...)
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  • Event Ontology in Quantum Mechanics and the Problem of Emergence.Rodolfo Gambini & Jorge Pullin - unknown
    We introduce an ontology of objects and events that is particularly well suited for several interpretations of quantum mechanics. It leads to an important revision of the notion of matter and its implications. Within this context one can show that systems in entangled states present emergent new properties and downward causation where certain behavior of parts of the system are only determined by the state of the whole. Interpretations of quantum mechanics that admit such an event ontology solve the problem (...)
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  • Matters Are Not so Clear on the Physical Side.Mario Castagnino - 2010 - Foundations of Chemistry 12 (2):159-166.
    According to ontological reductionism, molecular chemistry refers, at last, to the quantum ontology; therefore, the ontological commitments of chemistry turn out to be finally grounded on quantum mechanics. The main problem of this position is that nobody really knows what quantum ontology is. The purpose of this work is to argue that the confidence in the existence of the physical entities described by quantum mechanics does not take into account the interpretative problems of the theory: in the discussions about the (...)
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  • Reconstructing Reality: Environment-Induced Decoherence, the Measurement Problem, and the Emergence of Definiteness in Quantum Mechanics.Hanneke Janssen - unknown
    This work is a critique of the program of "environment-induced decoherence" as advocated by Zurek, Zeh and Joos, among others. In particular, the alleged relevance of decoherence for a solution of the "measurement problem" is subjected to a detailed philosophical analysis. In the first chapter, an attempt is made to unravel what exactly this "measurement problem" amounts to for the decoherence theorists. The second chapter reviews the standard decoherence literature. The third chapter starts with a brief discussion of the philosophical (...)
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  • Quantum Mechanics: Ontology Without Individuals.Newton da Costa & Olimpia Lombardi - 2014 - Foundations of Physics 44 (12):1246-1257.
    The purpose of the present paper is to consider the traditional interpretive problems of quantum mechanics from the viewpoint of a modal ontology of properties. In particular, we will try to delineate a quantum ontology that (i) is modal, because describes the structure of the realm of possibility, and (ii) lacks the ontological category of individual. The final goal is to supply an adequate account of quantum non-individuality on the basis of this ontology.
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  • Quantum Mechanics: Symmetry and Interpretation.Sebastian Fortin & Olimpia Lombardi - unknown
    In this paper it will be argued that any realist interpretation of quantum mechanics intending to preserve the objectivity of the set of the definite-valued observables should require such a set to be invariant under the symmetry group of the theory. In particular, it will be shown that the natural way to reach this goal is to appeal to the Casimir operators of the Galilean group. Additionally, this idea will be generalized in two ways: by selecting the definite-valued observables of (...)
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  • Classical Limit and Quantum Logic.Marcelo Losada, Sebastian Fortin & Federico Holik - 2018 - International Journal of Theoretical Physics 57:465–475.
    The more common scheme to explain the classical limit of quantum mechanics includes decoherence, which removes from the state the interference terms classically inadmissible since embodying non-Booleanity. In this work we consider the classical limit from a logical viewpoint, as a quantum-to-Boolean transition. The aim is to open the door to a new study based on dynamical logics, that is, logics that change over time. In particular, we appeal to the notion of hybrid logics to describe semiclassical systems. Moreover, we (...)
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  • Interpretations of Quantum Theory in the Light of Modern Cosmology.Mario Castagnino, Sebastian Fortin, Roberto Laura & Daniel Sudarsky - 2017 - Foundations of Physics 47 (11):1387-1422.
    The difficult issues related to the interpretation of quantum mechanics and, in particular, the “measurement problem” are revisited using as motivation the process of generation of structure from quantum fluctuations in inflationary cosmology. The unessential mathematical complexity of the particular problem is bypassed, facilitating the discussion of the conceptual issues, by considering, within the paradigm set up by the cosmological problem, another problem where symmetry serves as a focal point: a simplified version of Mott’s problem.
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  • Quantum Mechanics: Modal Interpretation and Galilean Transformations. [REVIEW]Juan Sebastian Ardenghi, Mario Castagnino & Olimpia Lombardi - 2009 - Foundations of Physics 39 (9):1023-1045.
    The aim of this paper is to consider in what sense the modal-Hamiltonian interpretation of quantum mechanics satisfies the physical constraints imposed by the Galilean group. In particular, we show that the only apparent conflict, which follows from boost-transformations, can be overcome when the definition of quantum systems and subsystems is taken into account. On this basis, we apply the interpretation to different well-known models, in order to obtain concrete examples of the previous conceptual conclusions. Finally, we consider the role (...)
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  • Wigner and His Many Friends: A New No-Go Result?Sebastian Fortin & Olimpia Lombardi - unknown
    In April 2016, Daniela Frauchiger and Renato Renner published an article online in which they introduce a Gedankenexperiment that led them to conclude that single-world interpretations of quantum theory cannot be self-consistent. In a new version of the paper, published in September 2018, the authors moderate their original claim by concluding that quantum theory cannot be extrapolated to complex systems, at least not in a straightforward manner. The purpose of this short article is to clarify the core of the F-R (...)
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  • Partial Traces in Decoherence and in Interpretation: What Do Reduced States Refer To?Sebastian Fortin & Olimpia Lombardi - 2014 - Foundations of Physics 44 (4):426-446.
    The interpretation of the concept of reduced state is a subtle issue that has relevant consequences when the task is the interpretation of quantum mechanics itself. The aim of this paper is to argue that reduced states are not the quantum states of subsystems in the same sense as quantum states are states of the whole composite system. After clearly stating the problem, our argument is developed in three stages. First, we consider the phenomenon of environment-induced decoherence as an example (...)
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  • Quantum Mechanics and Perspectivalism.Dennis Dieks - unknown
    Experimental evidence of the last decades has made the status of ``collapses of the wave function'' even more shaky than it already was on conceptual grounds: interference effects turn out to be detectable even when collapses are typically expected to occur. Non-collapse interpretations should consequently be taken seriously. In this paper we argue that such interpretations suggest a perspectivalism according to which quantum objects are not characterized by monadic properties, but by relations to other systems. Accordingly, physical systems may possess (...)
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  • Isomerism and Decoherence.Sebastian Fortin, Olimpia Lombardi & Juan Camilo Martínez González - 2016 - Foundations of Chemistry 18 (3):225-240.
    In the present paper we address the problem of optical isomerism embodied in the socalled “Hund’s paradox”, which points to the difficulty to account for chirality by means of quantum mechanics. In particular, we explain the answer to the problem proposed by the theory of decoherence. The purpose of this article is to challenge this answer on the basis of a conceptual analysis of the phenomenon of decoherence, that reveals the limitations of the theory of decoherence to solve the difficulties (...)
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  • Entre mecánica cuántica y estructuras químicas: ¿a qué refiere la química cuántica?Olimpia Lombardi & Juan Camilo Martínez González - 2012 - Scientiae Studia 10 (4):649-670.
    El propósito del presente trabajo consiste en abordar la pregunta por la ontología de la química cuántica. Para ello nos concentraremos en el concepto de enlace químico desde la perspectiva de los dos enfoques a través de los cuales la ecuación de Schrödinger se aplica a los sistemas químicos moleculares: la teoría del enlace de valencia (EV) y la teoría del orbital molecular (OM). Sobre la base de la presentación de ambos enfoques y su comparación, señalaremos que, a pesar de (...)
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  • A New Application of the Modal-Hamiltonian Interpretation of Quantum Mechanics: The Problem of Optical Isomerism.Sebastian Fortin, Olimpia Lombardi & Juan Camilo Martínez González - 2018 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 62:123-135.
    The modal-Hamiltonian interpretation belongs to the modal family of interpretations of quantum mechanics. By endowing the Hamiltonian with the role of selecting the subset of the definite-valued observables of the system, it accounts for ideal and non-ideal measurements, and also supplies a criterion to distinguish between reliable and non-reliable measurements in the non-ideal case. It can be reformulated in an explicitly invariant form, in terms of the Casimir operators of the Galilean group, and the compatibility of the MHI with the (...)
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  • Undecidability and the Problem of Outcomes in Quantum Measurements.Rodolfo Gambini, Luis Pedro García Pintos & Jorge Pullin - 2009 - Foundations of Physics 40 (1):93-115.
    We argue that it is fundamentally impossible to recover information about quantum superpositions when a quantum system has interacted with a sufficiently large number of degrees of freedom of the environment. This is due to the fact that gravity imposes fundamental limitations on how accurate measurements can be. This leads to the notion of undecidability: there is no way to tell, due to fundamental limitations, if a quantum system evolved unitarily or suffered wavefunction collapse. This in turn provides a solution (...)
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  • Medición cuántica y decoherencia: ¿qué medimos cuando medimos?Olímpia Lombardi & Leonardo Vanni - 2010 - Scientiae Studia 8 (2):273-291.
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  • The Modal-Hamiltonian Interpretation and the Galilean Covariance of Quantum Mechanics.Olimpia Lombardi, Mario Castagnino & Juan Sebastián Ardenghi - 2010 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 41 (2):93-103.