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    The canonical approach to quantum gravity is arguably sim... — Carmelics
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    The canonical approach to quantum gravity is arguably similar to string theory in its reliance on classical background spacetime

    CausationModality & Possibility
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    1 reason for
    2 reasons against

    Reasons For

    1 perspective
    Reason for
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    • 1.The canonical approach begins with a theory that conceives time-evolution in terms of evolving data specified on an a priori given spacelike surface
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    • 2.The canonical approach then quantizes this theory
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    Reasons Against

    2 perspectives
    Reason against 1 of 2
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    • 1.Loop quantum gravity quantizes geometry itself, treating spatial geometry as a genuine quantum variable rather than a fixed background structure.
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    • 2.The spin-network states of LQG are eigenstates of area and volume operators, representing a discrete quantum spacetime with no classical metric presupposed.
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    • 3.Therefore, the canonical approach does not rely on classical background spacetime in the same way string theory relies on a fixed Minkowski or curved background.
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    Reason against 2 of 2
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    • 1.The Wheeler-DeWitt equation, central to canonical quantum gravity, contains no explicit time parameter, suggesting background temporal structure is eliminated rather than presupposed.
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    • 2.Kuchař and Isham's 'problem of time' literature documents that the canonical approach's chief difficulty is precisely the absence of a classical background time, not its reliance on one.
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    Related

    Kuchař and Isham's 'problem of time' literature documents that the canonical app...Loop quantum gravity quantizes geometry itself, treating spatial geometry as a g...The Wheeler-DeWitt equation, central to canonical quantum gravity, contains no e...The canonical approach begins with a theory that conceives time-evolution in ter...
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    The canonical approach then quantizes this theoryThe spin-network states of LQG are eigenstates of area and volume operators, rep...Therefore, the canonical approach does not rely on classical background spacetim...

    Similar

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    Although advocates of the canonical approach often accuse string theorists of relying too heavily on classical background spacetime, the canonical approach does something which is arguably quite similar, in that one begins with a theory that conceives time-evolution in terms of evolving some data specified on an a priori given spacelike surface, and then quantizing the theory. However, this does not imply any breaking of spacetime diffeomorphism invariance (or general covariance) since the const
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    Details

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