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Elementary particles in quantum mechanics (QM) are indistinguishable when sharing the same intrinsic properties and the same quantum state. So, we can consider quantum particles as non-individuals, although non-individuality is usually…

Quantum Physics · Physics 2007-05-23 Adonai S. Sant'Anna

We analyze the logical foundations of quantum mechanics (QM) by stressing non-objectivity of quantum observables which is a consequence of the absence of logical atoms in QM. We argue that the matter of quantum non-objectivity is that, on…

General Physics · Physics 2015-06-19 Andrei Khrennikov , Andrew Schumann

In this paper, we discuss content and context for quantum properties. We give some examples of why quantum properties are problematic: they depend on the context in a non-trivial way. We then connect this difficulty with properties to the…

Quantum Physics · Physics 2021-09-01 J. Acacio de Barros , Federico Holik , Décio Krause

The implications of the physical theory of quantum mechanics on the question of realism is much a subject of sustaining interest, while the background questions among physicists on how to think about all the theoretical notion and…

Quantum Physics · Physics 2022-02-23 Otto C. W. Kong

Ever since its beginnings, standard quantum mechanics has been associated with a metaphysical view according to which the theory deals with non-individual objects, i.e., objects deprived of individuality in some sense of the term. We shall…

History and Philosophy of Physics · Physics 2023-07-26 Jonas R. B. Arenhart , Raoni W. Arroyo

Some notes about quantum physics, an interpretation if one wishes, are put forward, insisting on `closely following the mathematics/formalism, the `nuts and bolts of what quantum physics says'. These, basically well-known, issues seem to…

Quantum Physics · Physics 2022-01-03 Eliahu Levy

In this sequence of papers, noncommutative analysis is used to give a consistent axiomatic approach to a unified conceptual foundation of classical and quantum physics. The present Part I defines the concepts of observables, states and…

Quantum Physics · Physics 2007-05-23 Arnold Neumaier

The non-individuals interpretation of quantum mechanics is presented with the aim of clarifying it and highflying some of its salient features. Alternative formulations of it are proposed and examined.

Quantum Physics · Physics 2020-08-27 Décio Krause , Jonas R. B. Arenhart , Otávio Bueno

In this paper I consider some logical and mathematical aspects of the discussion of the identity and individuality of quantum entities. I shall point out that for some aspects of the discussion, the logical basis cannot be put aside; on the…

Quantum Physics · Physics 2008-12-09 Decio Krause

The aim of this paper is to analyze the reconstructability of quantum mechanics from classical conditional probabilities representing measurement outcomes conditioned on measurement choices. We will investigate how the quantum mechanical…

Quantum Physics · Physics 2019-06-13 Gábor Hofer-Szabó

This is a general philosophical paper where I overview some ideas concerning the non-reflexive foundations of quantum mechanics (NRFQM). By NRFQM I mean formalism and an interpretation of QM that considers an involved ontology of…

Logic · Mathematics 2018-07-20 Decio Krause

A suitable unified statistical formulation of quantum and classical mechanics in a *-algebraic setting leads us to conclude that information itself is noncommutative in quantum mechanics. Specifically we refer here to an observer's…

Quantum Physics · Physics 2018-07-02 Rocco Duvenhage

Quantum theory's irreducible empirical core is a probability calculus. While it presupposes the events to which (and on the basis of which) it serves to assign probabilities, and therefore cannot account for their occurrence, it has to be…

Quantum Physics · Physics 2014-11-03 Ulrich Mohrhoff

This paper presents an alternative approach to quantum entanglement, one that effectively resolves the logical inconsistencies without leading to logical contradictions. By addressing some of the inconsistencies within quantum mechanics,…

Quantum Physics · Physics 2024-05-15 Pouria Abbasalinejad , Hamid Tebyanian

In analogy with conventional quantum mechanics, non-commutative quantum mechanics is formulated as a quantum system on the Hilbert space of Hilbert-Schmidt operators acting on non-commutative configuration space. It is argued that the…

Mathematical Physics · Physics 2009-04-17 F G Scholtz , L Gouba , A Hafver , C M Rohwer

We discuss some methodological aspects of the relation between physics and metaphysics by dealing specifically with the case of non-relativistic quantum mechanics. Our main claim is that current attempts to productively integrate quantum…

History and Philosophy of Physics · Physics 2020-12-11 Raoni W. Arroyo , Jonas R. B. Arenhart

Classical physics is generally regarded as deterministic, as opposed to quantum mechanics that is considered the first theory to have introduced genuine indeterminism into physics. We challenge this view by arguing that the alleged…

Quantum Physics · Physics 2019-12-11 Flavio Del Santo , Nicolas Gisin

A formulation of non-relativistic quantum mechanics in terms of Newtonian particles is presented in the shape of a set of three postulates. In this new theory, quantum systems are described by ensembles of signed particles which behave as…

General Physics · Physics 2015-09-23 Jean Michel Sellier

The concept of individuality in quantum mechanics shows radical differences from the one used in classical physics. In particular, it is not possible to consider the fundamental particles described by quantum theory as individual…

Quantum Physics · Physics 2012-03-15 Christian de Ronde , Graciela Domenech , Federico Holik , Hector Freytes

It is commonly claimed that quantum mechanics makes reference to a microscopic realm constituted by elementary particles. However, as first famously noticed by Erwin Schr\"odinger, it is not at all clear what these quantum particles really…

History and Philosophy of Physics · Physics 2020-04-20 Christian de Ronde , Raimundo Fernández Mouján
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