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    The canonical formulation of general relativity must empl... — Carmelics
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    The canonical formulation of general relativity must employ the method of constrained Hamiltonian systems.

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

    Reasons For

    1 perspective
    Reason for
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    • 1.General relativity, like Maxwell's theory of electromagnetism, possesses gauge symmetries.
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    • 2.Theories with gauge symmetries are constrained theories.
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    Reasons Against

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    Reason against 1 of 2
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    • 1.Lagrangian formulations of general relativity, such as the covariant path-integral approach, are mathematically rigorous without invoking Hamiltonian constraints.
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    • 2.A canonical formulation is one possible representational choice, not a necessity imposed by the theory's physical content.
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    • 3.The existence of gauge symmetries underdetermines the formalism required, since equivalent physical predictions can be derived through gauge-fixed Lagrangian methods alone.
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    Reason against 2 of 2
    ?
    • 1.Kuchař and Torre demonstrated that the problem of time in canonical quantum gravity may arise from Hamiltonian constraint quantization itself, not from GR's physical structure.
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    • 2.If the canonical constrained Hamiltonian method generates artifacts absent in the covariant formulation, it cannot be the uniquely mandatory representational framework.
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    Related

    A canonical formulation is one possible representational choice, not a necessity...General relativity, like Maxwell's theory of electromagnetism, possesses gauge s...If the canonical constrained Hamiltonian method generates artifacts absent in th...Kuchař and Torre demonstrated that the problem of time in canonical quantum grav...
    +3 moreShow less
    Lagrangian formulations of general relativity, such as the covariant path-integr...The existence of gauge symmetries underdetermines the formalism required, since ...Theories with gauge symmetries are constrained theories.

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    Canonical formulations of general relativity face constraints on their...85%The canonical formulation of general relativity is a completed project...84%The canonical formulation of general relativity yields 10 scalar equat...80%In geometric variables, as in any other canonical formulation of gener...80%

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    However, this encodes several pieces of misinformation making it hard to make sense of the claim that general relativity and canonical theories cannot be “reconciled”. The canonical framework is simply a tool for constructing theories, and one that makes quantization an easier prospect. As a matter of historical fact the canonical formulation of general relativity is a completed project, and has been carried out in a variety of ways, using compact spaces and non-compact spaces, and with a range
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    Details

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