A Kontorovitch-Lebedev-Fourier momentum space is constructed for de Sitter QFT where the dS frequency labels unitary representations, making equations algebraic and propagators simple like in flat space.
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Quantum Gravity In De Sitter Space
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abstract
We discuss some general properties of quantum gravity in De Sitter space. It has been argued that the Hilbert space is of finite dimension. This suggests a macroscopic argument that General Relativity cannot be quantized -- unless it is embedded in a more precise theory that determines the value of the cosmological constant. We give a definition of the quantum Hilbert space using the asymptotic behavior in the past and future, without requiring detailed microscopic knowledge. We discuss the difficulties in defining any precisely calculable or measurable observables in an asymptotically de Sitter spacetime, and explore some meta-observables that appear to make mathematical sense but cannot be measured by an observer who lives in the spacetime. This article is an expanded version of a lecture at Strings 2001 in Mumbai.
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representative citing papers
The bosonic AdS3/CFT2 duality emerges from the Gross-Neveu model via higher-spin composites and fluctuations in competing spin-0 and spin-1 condensates that define the radial bulk coordinate.
Horizon edge mode spectra in de Sitter and Nariai spacetimes exhibit universal shift symmetries that produce novel symmetry breaking in one-loop partition functions.
Higher spin gravity path integral on S^4 glues to an Sp(N) or superconformal S^3 boundary theory, giving leading contribution 2^N with one-loop cancellations.
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.
A piezoelectric-driven glass capillary launcher enables localized, high-efficiency (up to 93%) in-vacuum loading of silica spheres, nanodiamonds, and plate-like particles into single-beam, dual-beam, and standing-wave optical traps.
TPS-CalcBench is a new benchmark and evaluation framework that tests LLMs on analytical calculations in hypersonic aerodynamics and gas dynamics, using dual-track scoring and interventions to detect physically invalid reasoning.
Derives closed-form critical electrostatic-elastic coupling values for the onset of homogeneous instability along [100], [110], and [111] directions in cubic colloidal crystals by renormalizing the elastic tensor with a scalar λ_g obtained from Poisson-Boltzmann theory.
Deformations of the double-scaled SYK model via finite-cutoff holography produce Krylov complexity as wormhole length and realize Susskind's stretched horizon proposal through targeted T² deformations in the high-energy spectrum.
Algebraic entanglement entropy from type II1 algebras in double-scaled SYK is matched via triple-scaling limits to Ryu-Takayanagi areas in (A)dS2, reproducing Bekenstein-Hawking and Gibbons-Hawking formulas for specific regions while depending on Krylov complexity of the Hartle-Hawking state.
Authors construct canonical and path-integral quantizations for QFT in Klein space using extra modes, deriving correlation functions that match Minkowski space via analytical continuation.
Molecular dynamics of a ramp-shoulder fluid shows water-like anomalies arising from cooperative radial restructuring and amorphous radial frustration rather than shell competition alone.
External quadrupolar distortion imprints on orbital dynamics and accretion structure in thin disks around deformed compact objects, with the radiating region's outer edge tied to the radiation-to-gas pressure transition.
Improving broken-symmetry trial wavefunctions in phaseless AFQMC for Fe-S clusters can worsen energy accuracy until high fidelity, linked to measurement trial selection and suggesting error cancellation in HF-based results.
A universal first law of thermodynamics for de Sitter cosmological horizons defines entropy in the holographic dual at future infinity as a function of boundary pressure and angular momentum from the Brown-York stress tensor.
Tantalum damascene resonators on 300 mm wafers show modest loss reduction by replacing sidewall oxides with metal-substrate interfaces via buried oxide simulation.
Holographic complexity of CFTs in global dS_d is computed via volume and action prescriptions in AdS foliation and brane setups, then compared to results from static and Poincare patches.
Relates free scalar in Minkowski space to codimension-two sphere field via Radon transform to dS/EAdS slice and bulk reconstruction, with Mellin modes as generalized hypergeometric functions via Lee-Pomeransky method.
A finite-dimensional quantum model with commensurable energy eigenvalues and minimum-entropy initial condition yields exact periodicity and a distinguished entropy minimum that may represent the Big Bang while suppressing Boltzmann Brains.
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Thin diamond membranes are fabricated and tested as a versatile platform for photonic and optomechanical devices, with IR grating dichroism changes, femtosecond laser cutting, and polarization-dependent light modeling shown.
From the de Sitter partition function in various approximations, the volume probability distribution concentrates around the classical value but shifts to favor smaller universes as quantum effects increase.
Time-dependent holographic entanglement entropy and complexity are computed perturbatively for braneworld FLRW universes with radiation, matter, and exotic matter by using time-dependent brane positions in black brane bulk geometries.
String theory imposes constraints on dark energy but permits various construction attempts for de Sitter vacua and single-field exponential quintessence models despite obstructions.
citing papers explorer
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De Sitter Momentum Space
A Kontorovitch-Lebedev-Fourier momentum space is constructed for de Sitter QFT where the dS frequency labels unitary representations, making equations algebraic and propagators simple like in flat space.
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Holographic duality from a four-fermion interaction: emergent AdS$_3$/CFT$_2$, D-branes, and Einstein gravity
The bosonic AdS3/CFT2 duality emerges from the Gross-Neveu model via higher-spin composites and fluctuations in competing spin-0 and spin-1 condensates that define the radial bulk coordinate.
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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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dS$^4$ Metamorphosis
Higher spin gravity path integral on S^4 glues to an Sp(N) or superconformal S^3 boundary theory, giving leading contribution 2^N with one-loop cancellations.
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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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Localized efficient in-vacuum loading of $\sim$0.1-10 $\mu$m spherical and plate-like particles into optical traps using a pulled glass capillary
A piezoelectric-driven glass capillary launcher enables localized, high-efficiency (up to 93%) in-vacuum loading of silica spheres, nanodiamonds, and plate-like particles into single-beam, dual-beam, and standing-wave optical traps.
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TPS-CalcBench: A Benchmark and Diagnostic Evaluation Framework for LLM Analytical Calculation Competence in Hypersonic Thermal Protection System Engineering
TPS-CalcBench is a new benchmark and evaluation framework that tests LLMs on analytical calculations in hypersonic aerodynamics and gas dynamics, using dual-track scoring and interventions to detect physically invalid reasoning.
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Anisotropic Electrostatic-Elastic Softening and Stability in Charged Colloidal Crystals
Derives closed-form critical electrostatic-elastic coupling values for the onset of homogeneous instability along [100], [110], and [111] directions in cubic colloidal crystals by renormalizing the elastic tensor with a scalar λ_g obtained from Poisson-Boltzmann theory.
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Deforming the Double-Scaled SYK & Reaching the Stretched Horizon From Finite Cutoff Holography
Deformations of the double-scaled SYK model via finite-cutoff holography produce Krylov complexity as wormhole length and realize Susskind's stretched horizon proposal through targeted T² deformations in the high-energy spectrum.
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Cosmological Entanglement Entropy from the von Neumann Algebra of Double-Scaled SYK & Its Connection with Krylov Complexity
Algebraic entanglement entropy from type II1 algebras in double-scaled SYK is matched via triple-scaling limits to Ryu-Takayanagi areas in (A)dS2, reproducing Bekenstein-Hawking and Gibbons-Hawking formulas for specific regions while depending on Krylov complexity of the Hartle-Hawking state.
-
QFT in Klein space
Authors construct canonical and path-integral quantizations for QFT in Klein space using extra modes, deriving correlation functions that match Minkowski space via analytical continuation.
-
Amorphous Radial Frustration and Water-Like Anomalies in a Ramp-Shoulder Fluid
Molecular dynamics of a ramp-shoulder fluid shows water-like anomalies arising from cooperative radial restructuring and amorphous radial frustration rather than shell competition alone.
-
Analytic thin disks and rings in a class of nonasymptotically flat static spacetimes
External quadrupolar distortion imprints on orbital dynamics and accretion structure in thin disks around deformed compact objects, with the radiating region's outer edge tied to the radiation-to-gas pressure transition.
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Can phaseless auxiliary-field quantum Monte Carlo with broken symmetry trials describe iron-sulfur clusters?
Improving broken-symmetry trial wavefunctions in phaseless AFQMC for Fe-S clusters can worsen energy accuracy until high fidelity, linked to measurement trial selection and suggesting error cancellation in HF-based results.
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The Thermodynamics of Cosmological Horizons and Their Holographic Description in de Sitter Space
A universal first law of thermodynamics for de Sitter cosmological horizons defines entropy in the holographic dual at future infinity as a function of boundary pressure and angular momentum from the Brown-York stress tensor.
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Tantalum Damascene Coplanar Waveguide Resonators Fabricated Using 300 mm Scale Processes
Tantalum damascene resonators on 300 mm wafers show modest loss reduction by replacing sidewall oxides with metal-substrate interfaces via buried oxide simulation.
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Holographic complexity of conformal fields in global de Sitter spacetime
Holographic complexity of CFTs in global dS_d is computed via volume and action prescriptions in AdS foliation and brane setups, then compared to results from static and Poincare patches.
-
Minkowski Space holography and Radon transform
Relates free scalar in Minkowski space to codimension-two sphere field via Radon transform to dS/EAdS slice and bulk reconstruction, with Mellin modes as generalized hypergeometric functions via Lee-Pomeransky method.
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Toward a Phenomenologically Acceptable Quantum Cyclic Universe
A finite-dimensional quantum model with commensurable energy eigenvalues and minimum-entropy initial condition yields exact periodicity and a distinguished entropy minimum that may represent the Big Bang while suppressing Boltzmann Brains.
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3d QFT IR divergences as UV divergences in 4d Holographic Cosmology
In a 3d toy model for holographic cosmology, a mass term preserving generalized conformal structure permits 2-loop computations that indicate possible IR finiteness beyond perturbation theory, corresponding to UV finiteness without singularities in the 4d dual.
-
Diamond membranes: platform for photonic and opto-mechanical applications
Thin diamond membranes are fabricated and tested as a versatile platform for photonic and optomechanical devices, with IR grating dichroism changes, femtosecond laser cutting, and polarization-dependent light modeling shown.
-
Euclidean volume fluctuations in de Sitter quantum gravity
From the de Sitter partition function in various approximations, the volume probability distribution concentrates around the classical value but shifts to favor smaller universes as quantum effects increase.
-
Holographic entanglement entropy and complexity for the cosmological braneworld model
Time-dependent holographic entanglement entropy and complexity are computed perturbatively for braneworld FLRW universes with radiation, matter, and exotic matter by using time-dependent brane positions in black brane bulk geometries.
-
Dark energy from string theory: an introductory review
String theory imposes constraints on dark energy but permits various construction attempts for de Sitter vacua and single-field exponential quintessence models despite obstructions.