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    Nonlinear classical mechanics systems can constrain the a... — Carmelics
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    Home/Modality & Possibility
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    Nonlinear classical mechanics systems can constrain the amplification of quantum effects, and these constraints must be evaluated on a case-by-case basis.

    CausationModality & Possibility
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    1 reason for
    2 reasons against

    Reasons For

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    Reason for
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    • 1.Damping due to friction can limit how quickly quantum effects are amplified before being washed out.
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    • 2.Local finite-time dynamics for each system may not yield any on-average growth in uncertainties.
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    Reasons Against

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    Reason against 1 of 2
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    • 1.Batterman's work on asymptotic reasoning shows singular limits between quantum and classical mechanics resist smooth, case-by-case bridging.
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    • 2.The classical limit of quantum mechanics is mathematically discontinuous, so nonlinear classical constraints cannot straightforwardly bound quantum behavior.
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    • 3.Invoking classical mechanics to constrain quantum amplification presupposes the very reduction that remains philosophically contested.
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    Reason against 2 of 2
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    • 1.Decoherence theory (Zurek, Joos) shows quantum-to-classical transitions are universal, not system-specific, undermining case-by-case evaluation.
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    • 2.If decoherence operates at timescales far shorter than classical chaotic amplification, nonlinear constraints become causally irrelevant.
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    Related

    Batterman's work on asymptotic reasoning shows singular limits between quantum a...Damping due to friction can limit how quickly quantum effects are amplified befo...Decoherence theory (Zurek, Joos) shows quantum-to-classical transitions are univ...If decoherence operates at timescales far shorter than classical chaotic amplifi...
    +3 moreShow less
    Invoking classical mechanics to constrain quantum amplification presupposes the ...Local finite-time dynamics for each system may not yield any on-average growth i...The classical limit of quantum mechanics is mathematically discontinuous, so non...

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    Moreover, the possible constraints of nonlinear classical mechanics systems on the amplification of quantum effects must be considered on a case-by-case basis. For instance, damping due to friction can place constraints on how quickly amplification of quantum effects can take place before they are completely washed out (Bishop 2008). And one has to investigate the local finite-time dynamics for each system because these may not yield any on-average growth in uncertainties (e.g., Smith, Ziehmann,
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    Details

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