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Quarticles and the Identity of Indiscernibles

Huggett, Nick (2003) Quarticles and the Identity of Indiscernibles. In: [2001] Symmetries in Physics, New Reflections: Oxford Workshop (Oxford, January 2001).

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    Abstract

    The principle of the identity of indiscernibles (PII) states that if two systems are qualitatively identical then they are logically identical. French and Redhead (1988) and Butterfield (1993) have shown the sense in which bosons and fermions violate the PII, but did not investigate the issue for particles of other kinds of statistics: i.e., for the (p,q) particles -- or `quarticles' -- of Hartle, Stolt and Taylor (1970). This paper shows that for any type of indistinguishable quarticle the PII is violated but that for distinguishable quarticles there are states in which it is violated by any pair of particles, states in which it is violated only by some pairs of particles and states in which it is violated by no pairs of particles. The updated version corrects a minor statement of mathematical fact, and provides a short proof for a conjecture made in the original, showing that the identity of indiscernibles is equivalent to (anti)symmetrization.


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    Item Type: Conference or Workshop Item (UNSPECIFIED)
    Additional Information: The updated version corrects a minor statement of mathematical fact, and provides a short proof for a conjecture made in the original.
    Keywords: permutations, statistics, quarticles, quantum mechanics, identity
    Subjects: Specific Sciences > Physics > Fields and Particles
    Specific Sciences > Physics > Quantum Mechanics
    Conferences and Volumes: [2001] Symmetries in Physics, New Reflections: Oxford Workshop (Oxford, January 2001)
    Depositing User: Nick Huggett
    Date Deposited: 13 Aug 2004
    Last Modified: 07 Oct 2010 11:12
    Item ID: 1875
    Publisher: Cambridge University Press
    Public Domain: No
    Conference Date: January 2001
    Conference Location: Oxford University
    URI: http://philsci-archive.pitt.edu/id/eprint/1875

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