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On Non-Linear Quantum Mechanics and the Measurement Problem III. Poincare Probability and ... Chaos?

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arxiv 1803.11236 v1 pith:TKS72OIG submitted 2018-03-29 quant-ph

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keywords measurementmechanicsnonlinearparameterquantumrandomnessanalyticassumed
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Paper I of this series introduced a nonlinear version of quantum mechanics that blocks cats, and paper II postulated a random part of the wavefunction to explain outcomes in experiments such as Stern-Gerlach or EPRB. However, an ad hoc extra parameter was assumed for the randomness. Here I provide some analytic and simulation evidence that the nonlinear theory exhibits sensitive dependence on initial conditions in measurement scenarios, perhaps implying that the magnitude of randomness required is determined by structural features of the model, and does not require a free parameter.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On blocking Dispersion of Matter by Energy conservation

    quant-ph 2024-03 unverdicted novelty 3.0 of 10

    Nonlinear terms that block spatial cats via energy conservation satisfy derived commutation relations, but their generalization to non-pure spin models does not.

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