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    The trajectories of individual components in environmenta... — Carmelics
    Home/Consciousness & Mind
    HistoryEditSee Inverse

    The trajectories of individual components in environmental decoherence models approximate Newtonian trajectories surprisingly well.

    CausationConsciousness & Mind
    ?Rate how convincing each reason is below to see the overall strength.
    1 reason for
    2 reasons against

    Reasons For

    1 perspective
    Reason for
    ?
    • 1.In models where preferred states are coherent states, the master equation for the reduced state of the system can be compared with the evolution of a classical Liouville distribution.
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    • 2.This comparison suggests that individual component trajectories approximate corresponding Newtonian trajectories.
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    Reasons Against

    2 perspectives
    Reason against 1 of 2
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    • 1.Approximation of Newtonian trajectories by component wavefunctions does not establish that those trajectories are ontologically real within the quantum formalism.
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    • 2.Without a preferred basis solution, 'individual components' remain branch-relative artifacts of the decomposition, not independent physical trajectories.
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    • 3.Zurek's existential interpretation presupposes the very classical ontology it purports to derive, rendering the Newtonian approximation argument circular.
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    Reason against 2 of 2
    ?
    • 1.The master equation comparison suppresses interference terms by tracing over environmental degrees of freedom, but this mathematical move does not eliminate superpositions from the global state.
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    • 2.Omnes and Gell-Mann/Hartle's consistent histories frameworks show that multiple incompatible quasi-classical trajectory sets can satisfy decoherence conditions equally well, undermining any unique Newtonian approximation claim.
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    Topics

    Consciousness & MindCausation

    Related

    Approximation of Newtonian trajectories by component wavefunctions does not esta...In models where preferred states are coherent states, the master equation for th...Omnes and Gell-Mann/Hartle's consistent histories frameworks show that multiple ...The master equation comparison suppresses interference terms by tracing over env...
    +3 moreShow less
    This comparison suggests that individual component trajectories approximate corr...Without a preferred basis solution, 'individual components' remain branch-relati...Zurek's existential interpretation presupposes the very classical ontology it pu...

    Similar

    In environmental decoherence models with coherent preferred states, th...91%This comparison suggests that individual component trajectories approx...78%This decoherence produces a collective 'fanning out' of trajectories77%Applying the same strategy to decoherence yields a picture in which pa...74%

    Source

    AI-extracted1/3 agreementValid
    SEP: qm-decoherence
    View source passageHide passage
    In a number of models of environmental decoherence, however, it is obvious what the dynamical behaviour should be even at the level of individual components. Specifically, in models where the preferred states are coherent states, comparison of the master equation for the reduced state of the system with the evolution of a classical Liouville distribution suggests that the trajectories of individual components in fact approximate surprisingly well the corresponding Newtonian trajectories. Intuiti
    Extraction notes

    Validity: Extracted via Max plan + API grounding/validity checks

    Details

    Type
    claim
    Perspectives
    3 (1 for, 2 against)
    Edits
    1 edit