2009
DOI: 10.1086/647486
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Discerning Elementary Particles

Abstract: We maximally extend the quantum-mechanical results of Muller and Saunders (2008) establishing the ‘weak discernibility’ of an arbitrary number of similar fermions in finite-dimensional Hilbert spaces. This confutes the currently dominant view that (A) the quantum-mechanical description of similar particles conflicts with Leibniz's Principle of the Identity of Indiscernibles (PII); and that (B) the only way to save PII is by adopting some heavy metaphysical notion such as Scotusian haecceitas or Adamsian primit… Show more

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Cited by 96 publications
(82 citation statements)
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“…From this Saunders [9,12,13] concludes that fermions are physical individuals, albeit only weakly discernible ones. Muller and Seevinck extend this argument to bosons [10]. They observe that quite generally there exist irreflexive relations between the indices: operators that belong to different Hilbert spaces, indexed by different indices, always commute, whereas this is not the case for operators belonging to the same Hilbert space.…”
Section: Weak Discernibilitymentioning
confidence: 91%
See 1 more Smart Citation
“…From this Saunders [9,12,13] concludes that fermions are physical individuals, albeit only weakly discernible ones. Muller and Seevinck extend this argument to bosons [10]. They observe that quite generally there exist irreflexive relations between the indices: operators that belong to different Hilbert spaces, indexed by different indices, always commute, whereas this is not the case for operators belonging to the same Hilbert space.…”
Section: Weak Discernibilitymentioning
confidence: 91%
“…The whole issue is therefore interpretation dependent; our discussion here stays within the standard interpretational framework adopted by most recent discussions about the individuality of identical particles. the individuality of identical particles to be a fundamental property itself ("haecceity", "fundamental thisness"), there may be the option of weakening Leibniz's principle by introducing a weak form of discernibility, based on the existence of irreflexive relations between the particles (see [2,5,15] for general discussion, [9,10,[12][13][14] for elaboration of the just-mentioned position, [3,4] for criticism).…”
Section: Introductionmentioning
confidence: 99%
“…Another interesting consequence is that in any non-GMWentangled joint state, any two individual fermions are discernible by monadic predicates (which Muller & Saunders (2008) call absolutely discernible). This is contrary to the orthodoxy in the quantum literature, in which bosons and fermions are taken to be either merely weakly discernible or utterly indiscernible (French & Redhead 1988;Butterfield 1993;Huggett 2003;French & Krause 2006;Muller & Saunders 2008;Muller & Seevinck 2009;Caulton 2013). But this orthodoxy relies on adopting an alternative interpretation of permutation invariance, in which we can still give physical meaning to the labels of the factor Hilbert spaces in the joint Hilbert space.…”
Section: Resultsmentioning
confidence: 91%
“…It has been contended (Saunders 2006;Muller and Saunders 2008;Muller and Seevinck 2009) that quantum particles are not discernible on the basis of the "canonical" versions of PII -which only quantify over monadic properties -but are in fact discerned "weakly" by non-supervenient, irreflexive and symmetric relations such as "has opposite spin to" and, consequently, via some Leibnizian principle that takes relations of this type into account.…”
Section: The Argument From the Primacy Of Relationsmentioning
confidence: 99%