Authors
Hans Halvorson
Princeton University
Noel Swanson
University of Delaware
Abstract
Nature seems to be such that we can describe it accurately with quantum theories of bosons and fermions alone, without resort to parastatistics. This has been seen as a deep mystery: paraparticles make perfect physical sense, so why don’t we see them in nature? We consider one potential answer: every paraparticle theory is physically equivalent to some theory of bosons or fermions, making the absence of paraparticles in our theories a matter of convention rather than a mysterious empirical discovery. We argue that this equivalence thesis holds in all physically admissible quantum field theories falling under the domain of the rigorous Doplicher–Haag–Roberts approach to superselection rules. Inadmissible parastatistical theories are ruled out by a locality-inspired principle we call charge recombination. 1 Introduction2 Paraparticles in Quantum Theory3 Theoretical Equivalence3.1 Field systems in algebraic quantum field theory3.2 Equivalence of field systems4 A Brief History of the Equivalence Thesis4.1 The Green decomposition4.2 Klein transformations4.3 The argument of Drühl, Haag, and Roberts4.4 The Doplicher–Roberts reconstruction theorem5 Sharpening the Thesis6 Discussion6.1 Interpretations of Quantum Mechanics6.2 Structuralism and haecceities6.3 Paraquark theories.
Keywords quantum field theory  symmetry
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Reprint years 2013, 2014, 2015
DOI 10.1093/bjps/axu018
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References found in this work BETA

Quantum Mechanics: An Empiricist View.Paul Teller & Bas C. van Fraassen - 1995 - Philosophical Review 104 (3):457.
Points, Particles, and Structural Realism.Oliver Pooley - 2005 - In Dean Rickles, Steven French & Juha T. Saatsi (eds.), The Structural Foundations of Quantum Gravity. Oxford University Press. pp. 83--120.
Symmetry and Equivalence.Gordon Belot - 2013 - In Robert Batterman (ed.), The Oxford Handbook of Philosophy of Physics. Oxford University Press. pp. 318-339.
Algebraic Quantum Field Theory.Hans Halvorson & Michael Mueger - 2006 - In J. Butterfield & J. Earman (eds.), Handbook of the philosophy of physics. Kluwer Academic Publishers.

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Citations of this work BETA

Identity and Individuality in Quantum Theory.Steven French - 2008 - Stanford Encyclopedia of Philosophy.
Humeanism in Light of Quantum Gravity.Enrico Cinti & Marco Sanchioni - forthcoming - Synthese 199 (3-4):10839-10863.
Interpreting Supersymmetry.David John Baker - forthcoming - Erkenntnis:1-22.
Constructing and Constraining Wave Functions for Identical Quantum Particles.Charles T. Sebens - 2016 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 56:48-59.

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