On Non-Linear Quantum Mechanics and the Measurement Problem III. Poincare Probability and ... Chaos?
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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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On blocking Dispersion of Matter by Energy conservation
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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