The Case Against Factorism: On the Labels of $$\otimes$$-Factor Hilbert-Spaces of Similar Particles in Quantum Mechanics

Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 53 (3):291-306 (2022)
  Copy   BIBTEX

Abstract

We discuss the case against Factorism, which is the standard assumption in quantum mechanics that the labels of the $$\otimes$$ ⊗ -factor Hilbert-spaces in direct-product Hilbert-spaces of composite physical systems of similar particles refer to particles, either directly or descriptively. We distinguish different versions of Factorism and argue for their truth or falsehood. In particular, by introducing the concepts of snapshot Hilbert-space and Schrödinger-movie, we demonstrate that there are Hilbert-spaces and $$\otimes$$ ⊗ -factorisations where the labels do refer, even descriptively, to similar particles, which renders them probabilistically absolutely discernible.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 92,931

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Identical Quantum Particles as Distinguishable Objects.Dennis Dieks & Andrea Lubberdink - 2020 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 53 (3):1-16.
Quantization of space-time and the corresponding quantum mechanics.M. Banai - 1985 - Foundations of Physics 15 (12):1203-1245.
An Axiomatic Basis for Quantum Mechanics.Gianni Cassinelli & Pekka Lahti - 2016 - Foundations of Physics 46 (10):1341-1373.
Dagger Categories of Tame Relations.Bart Jacobs - 2013 - Logica Universalis 7 (3):341-370.
What is Quantum Mechanics? A Minimal Formulation.R. Friedberg & P. C. Hohenberg - 2018 - Foundations of Physics 48 (3):295-332.

Analytics

Added to PP
2020-08-06

Downloads
29 (#567,300)

6 months
11 (#271,662)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

F. A. Muller
Erasmus University Rotterdam

Citations of this work

Identical Quantum Particles as Distinguishable Objects.Dennis Dieks & Andrea Lubberdink - 2022 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 53 (3):259-274.
Entanglement and indistinguishability in a quantum ontology of properties.Sebastian Fortin & Olimpia Lombardi - 2022 - Studies in History and Philosophy of Science Part A 91 (C):234-243.
How to Justify the Symmetrization Postulate in Quantum Mechanics.Tomasz Bigaj - 2022 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 53 (3):239-257.
Identical Quantum Particles as Distinguishable Objects.Dennis Dieks & Andrea Lubberdink - 2020 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 53 (3):1-16.
Quantum metaphysical indeterminacy and the ontological foundations of orthodoxy.David Schroeren - 2021 - Studies in History and Philosophy of Science Part A 90 (C):235-246.

View all 8 citations / Add more citations

References found in this work

Identity in physics: a historical, philosophical, and formal analysis.Steven French & Decio Krause - 2006 - New York: Oxford University Press. Edited by Decio Krause.
Are quantum particles objects?Simon Saunders - 2006 - Analysis 66 (1):52-63.
Quantum Mechanics: An Empiricist View.Paul Teller & Bas C. van Fraassen - 1995 - Philosophical Review 104 (3):457.
Quantum physics and the identity of indiscernibles.Steven French & Michael Redhead - 1988 - British Journal for the Philosophy of Science 39 (2):233-246.
Discerning Fermions.Simon Saunders & F. A. Muller - 2008 - British Journal for the Philosophy of Science 59 (3):499 - 548.

View all 22 references / Add more references