The elusive quantal individual |
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Authors: | H.J. Groenewold |
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Affiliation: | Institute for Theoretical Physics, Groningen University, The Netherlands |
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Abstract: | In the formal hedgehog representation of quantum mechanics [5] (ambiguous) weights are derived for hedgehogs with a finite number of questions and answers, in particular applied to spin and to correlated spin pairs. Unavoidable negative weights are a clear signal for conceptual difficulties in quantum mechanical interpretation. If these weights had been presupposed to be non-negative, they could have led to Bell-like inequalities inconsistent with quantum mechanics. This is what has happened already in various special models.Owing to the indefinite weights, the hedgehog hypothesis of one-to-one mapping between individual physical samples and individual fictitious hedgehogs cannot be maintained. If no physical interpretation is conceived for the negative weights, the only way to avoid unsolved conceptual difficulties appears to resign (even in the hedgehog representation) to the skeptical ensemble interpretation [1], without theorizing about individual physical samples at all. |
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