The paper introduces a form-domain criterion and proves a sufficiency theorem that identifies which gapped observer sectors remain semiclassically admissible in Euclidean de Sitter gravity on the sphere.
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Physical instabilities and the phase of the Euclidean path integral
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In AdS the fully gravitational Hartle-Hawking wave function acquires a nontrivial one-loop phase while the partially frozen version stays real and positive; a partially frozen de Sitter sphere shows phase cancellation.
Horizon edge mode spectra in de Sitter and Nariai spacetimes exhibit universal shift symmetries that produce novel symmetry breaking in one-loop partition functions.
The Hartle-Hawking state for toroidal quantum cosmologies is expressed in the Langlands decomposition as a sum over zeta zeros whose near-singularity dynamics follow the Hilbert-Pólya Hamiltonian and as a Möbius average of CFT partition functions.
In an essential proper-time scheme, gauge dependence of the flow for Newton's constant cancels order-by-order once redundant off-shell terms are absorbed by field redefinitions, leaving a gauge-independent non-Gaussian fixed point.
Proposes an SL(2,Z) sum of Kerr-lens geometries in 3d dS gravity whose spectral density is computed via crosscap amplitudes in CLS ⊗ CLS, matching semi-classical predictions and reducing in a simple case to GΣ ⊗ GΣ on the observer worldline.
Inner horizon saddles supply the semiclassical correction -exp(A_inner/4G) to near-extremal black-hole entropy and motivate a spectral KSW criterion for well-defined one-loop effects around complex gravitational saddles.
Exact Airy-function evaluation of the Gauss-Bonnet mini-superspace path integral plus Picard-Lefschetz resolution of lapse degeneracies via complex (G ħ) deformation that alters the KSW condition.
The one-loop graviton path integral on S² × S^{d-1} factorizes into a bulk thermal graviton gas partition function in Nariai geometry and an edge contribution from shift-symmetric fields on S^{d-1}.
Perturbative dressing of local operators in QED and GR induces kinematic singularities and is mathematically equivalent to dynamical temporal gauge fixing.
Nucleated black holes in de Sitter space evaporate via standard Hawking radiation back to the empty vacuum, rendering nucleation a temporary fluctuation.
One-loop metric fluctuations produce secularly growing IR divergences in the Hartle-Hawking wavefunction for complex saddles on R x S3, identical in leading order to the Lorentzian de Sitter case after UV renormalization.
Real observers remove the de Sitter imaginary phase only if their fluctuations share the conformal factor's negative modes; metric-independent sectors factorize and preserve the phase.
citing papers explorer
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Spectral Admissibility of Real Observers in Euclidean de Sitter Gravity
The paper introduces a form-domain criterion and proves a sufficiency theorem that identifies which gapped observer sectors remain semiclassically admissible in Euclidean de Sitter gravity on the sphere.
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A Tale of Two Hartle-Hawking Wave Functions: Fully Gravitational vs Partially Frozen
In AdS the fully gravitational Hartle-Hawking wave function acquires a nontrivial one-loop phase while the partially frozen version stays real and positive; a partially frozen de Sitter sphere shows phase cancellation.
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Horizon Edge Partition Functions in $\Lambda>0$ Quantum Gravity
Horizon edge mode spectra in de Sitter and Nariai spacetimes exhibit universal shift symmetries that produce novel symmetry breaking in one-loop partition functions.
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M\"obius randomness in the Hartle-Hawking state
The Hartle-Hawking state for toroidal quantum cosmologies is expressed in the Langlands decomposition as a sum over zeta zeros whose near-singularity dynamics follow the Hilbert-Pólya Hamiltonian and as a Möbius average of CFT partition functions.
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Towards gauge independence in asymptotically safe quantum gravity
In an essential proper-time scheme, gauge dependence of the flow for Newton's constant cancels order-by-order once redundant off-shell terms are absorbed by field redefinitions, leaving a gauge-independent non-Gaussian fixed point.
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An observer's quantization of 3d de Sitter
Proposes an SL(2,Z) sum of Kerr-lens geometries in 3d dS gravity whose spectral density is computed via crosscap amplitudes in CLS ⊗ CLS, matching semi-classical predictions and reducing in a simple case to GΣ ⊗ GΣ on the observer worldline.
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Inner Horizon Saddles and a Spectral KSW Criterion
Inner horizon saddles supply the semiclassical correction -exp(A_inner/4G) to near-extremal black-hole entropy and motivate a spectral KSW criterion for well-defined one-loop effects around complex gravitational saddles.
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Resolving Degeneracies in Complex $\mathbb{R}\times S^3$ and $\theta$-KSW
Exact Airy-function evaluation of the Gauss-Bonnet mini-superspace path integral plus Picard-Lefschetz resolution of lapse degeneracies via complex (G ħ) deformation that alters the KSW condition.
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Gravitons on Nariai Edges
The one-loop graviton path integral on S² × S^{d-1} factorizes into a bulk thermal graviton gas partition function in Nariai geometry and an edge contribution from shift-symmetric fields on S^{d-1}.
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On Perturbatively Dressed Observables
Perturbative dressing of local operators in QED and GR induces kinematic singularities and is mathematically equivalent to dynamical temporal gauge fixing.
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The Fate of Nucleated Black Holes in de Sitter Quantum Gravity
Nucleated black holes in de Sitter space evaporate via standard Hawking radiation back to the empty vacuum, rendering nucleation a temporary fluctuation.
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IR behaviour of one-loop complex $\mathbb{R}\times S^3$ saddles
One-loop metric fluctuations produce secularly growing IR divergences in the Hartle-Hawking wavefunction for complex saddles on R x S3, identical in leading order to the Lorentzian de Sitter case after UV renormalization.
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When do real observers resolve de Sitter's imaginary problem?
Real observers remove the de Sitter imaginary phase only if their fluctuations share the conformal factor's negative modes; metric-independent sectors factorize and preserve the phase.