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    It is not the case that In environmental decoherence models with coherent preferred states, the resulting trajectories of individual components will be close to Newtonian ones on relevant scales.

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    Reasons For

    2 perspectives
    Reason for 1 of 2
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    • 1.Decoherence selects preferred bases relative to a choice of system-environment partition, which is not determined by the formalism itself.
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    • 2.Without a principled, non-anthropocentric criterion for the partition, 'Newtonian trajectories emerge' inherits an ineliminable element of observer-relative stipulation.
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    • 3.A result that depends on a freely chosen partition cannot ground the objective classical world decoherence theorists claim to derive.
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    Reason for 2 of 2
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    • 1.Decoherence suppresses interference terms in the reduced density matrix but does not eliminate the other branches of the universal wavefunction.
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    • 2.Newtonian trajectories describe single, determinate histories, whereas the post-decoherence state remains a superposition of approximately classical components.
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    • 3.Approximating Newtonian behavior within each branch presupposes the very individuation of branches that decoherence alone, without additional interpretive commitments, cannot provide.
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    Reasons Against

    1 perspective
    Reason against
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    • 1.Preferred coherent states follow the Schrödinger equation more or less undisturbed because they are least entangled with the environment.
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    • 2.Narrow wave packets that follow the Schrödinger equation approximately follow Newtonian trajectories when external potentials are sufficiently uniform across the packet width.
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