arxiv: 2503.18522
· v1
· submitted 2025-03-24
· hep-th
· gr-qc
Radial canonical $\Lambda<0$ gravity
Blanca Hergueta, Nele Callebaut
abstract
We apply an ADM deparametrization strategy to radial canonical $\Lambda < 0$ gravity in three dimensions. It gives rise to a concise notation for previous holographic interpretations in terms of an identified radial 'volume time' and 'true' ADM degrees of freedom. We further discuss York time and conformal boundary conditions in this context, and construct a BTZ wavepacket solution to the radial WdW equation.
The Pith
UNVERDICTED
●○○ LOW
strongest claim
Applying ADM deparametrization to radial canonical Λ<0 gravity in 3D produces a concise notation for prior holographic interpretations via a radial 'volume time' and true ADM degrees of freedom, and admits a BTZ wavepacket solution to the radial WdW equation.
weakest assumption
That a radial coordinate can serve as a well-defined global 'time' for deparametrization across the relevant solution space (including BTZ), and that the chosen conformal/York-time boundary conditions are consistent with the WdW quantization scheme used to construct the wavepacket.
novelty4.5
clarity6.5
reproduce7.0
riskunknown
formalnone
plain-language explainer
1/ In 3D AdS gravity, the authors treat the radial direction as 'time' and apply the ADM canonical split, isolating physical degrees of freedom from gauge ones. 2/ This reframes earlier holographic radial-Hamiltonian work in compact notation, and lets them discuss York time and conformal boundary conditions in the same language. 3/ As a concrete output they build a BTZ wavepacket solving the radial Wheeler-DeWitt equation — a quantum-gravity state peaked on the black hole geometry.
for a schoolchild
They use the distance from the center as a clock to describe 3D black holes with quantum gravity math.
axiom audit (3)
- standard_math: Validity of ADM canonical formulation with a spacelike-like radial foliation in AdS3
Standard in holographic renormalization literature; radial Hamiltonian methods are well-established.
- domain_assumption: Wheeler-DeWitt quantization of mini/midi-superspace yields physically meaningful wavepackets
Common working assumption in canonical quantum gravity; interpretive issues remain open.
- domain_assumption: Deparametrization via 'volume time' / York time gives a good clock globally on the relevant phase space
Known to fail or require care in some regimes; assumed workable here.
rationale
Abstract-only review. The paper sits in a well-developed line of work on radial Hamiltonian / holographic renormalization in AdS3 and on WdW quantization with York time. The claims (deparametrization, wavepacket construction) are technically plausible and modest in scope — this reads as a clarifying/notational contribution plus one explicit example, not a foundational result. Without the full text I cannot check the BTZ wavepacket construction, the treatment of constraints, or whether the deparametrization is global. Confidence kept LOW per protocol. No red flags visible from the abstract; verdict held as UNVERDICTED since substantive correctness assessment requires the body and equations.
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