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    Extracting a notion of time from the canonical formulatio... — Carmelics
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    Home/Modality & Possibility
    HistoryEditSee Inverse

    Extracting a notion of time from the canonical formulation of general relativity constitutes a classical problem of time.

    CausationModality & Possibility
    ?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.To extract a notion of time from the canonical formulation, one must first solve for the spacetime metric and then single out a specific solution.
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    • 2.The spacetime geometry is itself a dynamical variable in general relativity.
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    • 3.Because spacetime geometry is a dynamical variable, time must also be solved for rather than being given in advance.
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    Reasons Against

    2 perspectives
    Reason against 1 of 2
    ?
    • 1.Karel Kuchař distinguishes multiple inequivalent definitions of time in canonical GR, none of which reduces to a single classical problem.
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    • 2.Because the 'problem of time' fractures into at least eight distinct technical problems (Kuchař 1992), characterizing it as one classical problem misrepresents its logical structure.
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    • 3.A claim that conflates multiple formally distinct problems cannot be assessed as true or false without first resolving which sub-problem is intended.
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    Reason against 2 of 2
    ?
    • 1.Julian Barbour and others argue that time is not extracted from GR but is rather eliminated entirely, making 'extraction' a category error.
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    • 2.If timelessness is the fundamental ontological upshot of canonical GR, then the 'problem of time' is not classical but reflects a genuine absence of time at the quantum level.
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    Related

    A claim that conflates multiple formally distinct problems cannot be assessed as...Because spacetime geometry is a dynamical variable, time must also be solved for...Because the 'problem of time' fractures into at least eight distinct technical p...If timelessness is the fundamental ontological upshot of canonical GR, then the ...
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    Julian Barbour and others argue that time is not extracted from GR but is rather...Karel Kuchař distinguishes multiple inequivalent definitions of time in canonica...The spacetime geometry is itself a dynamical variable in general relativity.To extract a notion of time from the canonical formulation, one must first solve...

    Similar

    To extract a notion of time from the canonical formulation, one must f...84%The time variable in the canonical formulation of general relativity i...81%The definition of time must therefore be given in terms of the metric79%The peculiar treatment of time in quantum gravity is not unique to the...79%

    Source

    AI-extracted1/3 agreementValid
    SEP: quantum-gravity
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    When one attempts to write general relativity down in this way, one has to contend with the existence of constraints on the canonical variables that are inherited from the diffeomorphism invariance of the spacetime formulation of the theory. The single tensorial equation that we see in standard presentations of the Einstein field equations is translated into 10 scalar equations in the canonical formulation, with constraints accounting for four of these equations (the remaining six are genuine ev
    Extraction notes

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

    Details

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