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Inverse View
It is not the case that The canonical approach to quantum gravity is arguably similar to string theory in its reliance on classical background spacetime
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Reasons For
2 perspectives
Reason for 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 for 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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Reasons Against
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Reason against
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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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