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The dimension of the Hilbert space of a quantum gravitational system can be written formally as a path integral partition function over Lorentzian metrics. We implement this in a 2+1 dimensional simplicial minisuperspace model in which the…

General Relativity and Quantum Cosmology · Physics 2024-08-21 Bianca Dittrich , Ted Jacobson , José Padua-Argüelles

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…

High Energy Physics - Theory · Physics 2007-05-23 Edward Witten

In the AdS/CFT framework, vacuum and excited states are systematically described by imposing arbitrary Dirichlet boundary conditions at the AdS boundary. Furthermore, there are explicit relations connecting the quantum states to their…

High Energy Physics - Theory · Physics 2025-08-27 Marcelo Botta-Cantcheff , Facundo Lorenzo Cruz , Pedro J. Martinez

We obtain D=6, N=(1,1) de Sitter supergravity from a hyperbolic reduction of the massive type IIA* theory. We construct a smooth cosmological solution in which the co-moving time runs from an infinite past, which is dS_4\times S^2, to an…

High Energy Physics - Theory · Physics 2009-11-10 H. Lu , J. F. Vazquez-Poritz

This thesis explores the thermodynamics of the cosmological horizon, aiming to make progress towards a better understanding of the microscopic nature of its entropy. We utilise the constrained nature of low-dimensional gravity to do so and…

High Energy Physics - Theory · Physics 2023-10-09 Eleanor Harris

Near horizons, quantum fields of low spin exhibit densities of states that behave asymptotically like 1+1 dimensional conformal field theories. In effective field theory, imposing some short-distance cutoff, one can compute thermodynamic…

High Energy Physics - Theory · Physics 2024-04-30 Tom Banks , Patrick Draper

We study a holographic theory of general spacetimes that does not rely on the existence of asymptotic regions. This theory is to be formulated in a holographic space. When a semiclassical description is applicable, the holographic space is…

High Energy Physics - Theory · Physics 2017-04-12 Yasunori Nomura , Nico Salzetta , Fabio Sanches , Sean J. Weinberg

The idea that asymptotic de Sitter space can be described by a finite Hilbert Space implies that any quantum measurement has an irreducible innacuracy. We argue that this prevents any measurement from verifying the existence of the Poincare…

High Energy Physics - Theory · Physics 2009-11-07 T. Banks , W. Fischler , S. Paban

We study the dS/CFT duality between minimal type-A higher-spin gravity and the free Sp(2N) vector model. We consider the bulk spacetime as "elliptic" de Sitter space dS_4/Z_2, in which antipodal points have been identified. We apply a…

High Energy Physics - Theory · Physics 2020-06-30 Yasha Neiman

We develop master equations to study perturbative stability of de Sitter Dynamical Fixed Points (DFPs) of strongly coupled massive quantum field theories in $d+1$ space-time dimensions with a holographic dual. The derived spectrum of…

High Energy Physics - Theory · Physics 2022-10-19 Alex Buchel

We consider new cosmological solutions which generalize the cosmological patch of the Anti-de Sitter (AdS) space-time, allowing for fluids with equations of state such that $w\neq -1$. We use them to derive the associated full manifolds. We…

General Relativity and Quantum Cosmology · Physics 2010-05-25 Joao Magueijo , Ali Mozaffari

In the recent article Phys. Rev. D 100, no. 4, 043533 (2019) a compact phase space generalization of the flat de Sitter cosmology has been proposed. The main advantages of the compactification is that physical quantities are bounded, and…

General Relativity and Quantum Cosmology · Physics 2021-06-09 Danilo Artigas , Sean Crowe , Jakub Mielczarek

We show that global de Sitter space is unstable to particle creation, even for a massive free field theory with no self-interactions. The O(4,1) de Sitter invariant state is a definite phase coherent superposition of particle and…

General Relativity and Quantum Cosmology · Physics 2014-05-28 Paul R. Anderson , Emil Mottola

We consider a de Sitter observer in his rest frame at late times who observes a particle slightly displaced from unstable equilibrium. Initially, the observer notices an axisymmetric and parity-violating deformation along the trajectory of…

High Energy Physics - Theory · Physics 2025-11-07 Willy Fischler , Hare Krishna , Sarah Racz

We argue that de Sitter universes with a small cosmological constant are entropically favored to have three spatial dimensions. The conclusion relies on the causal-patch description of de Sitter space, where fiducial observers experience…

High Energy Physics - Theory · Physics 2018-02-14 Arshad Momen , Rakibur Rahman

An asymptotically AdS geometry connecting two or more boundaries is given by a entangled state, that can be expanded in the product basis of the Hilbert spaces of each CFT living on the boundaries. We derive a prescription to compute this…

High Energy Physics - Theory · Physics 2023-08-16 Marcelo Botta Cantcheff

We show that the propagators of gravitons and scalar fields seen by a static patch observer in de Sitter spacetime are controlled by hidden SL(2,R) symmetries, at all frequencies. The retarded Green's function is determined by an SL(2,R) x…

High Energy Physics - Theory · Physics 2015-05-30 Dionysios Anninos , Sean A. Hartnoll , Diego M. Hofman

This paper studies timelike minimal surfaces in the De Sitter space $\mathbb S^3_1(1) \subset \mathbb R^4_1$ via a complex variable. Using complex analysis and stereographic projection of lightlike vectors we obtain a representation…

Differential Geometry · Mathematics 2019-10-15 M. P. Dussan , A. P. Franco Filho , M. Magid

The holographic principle suggests that the Hilbert space of quantum gravity is locally finite-dimensional. Motivated by this point-of-view, and its application to the observable Universe, we introduce a set of numerical and conceptual…

General Relativity and Quantum Cosmology · Physics 2022-12-07 Oliver Friedrich , Ashmeet Singh , Olivier Doré

We review various aspects of de Sitter spacetime in string theory: its status as an effective field theory spacetime solution, its relation to the vacuum energy problem in string theory, its (global) holographic definition in terms of two…

High Energy Physics - Theory · Physics 2023-08-30 Per Berglund , Tristan Hübsch , Djordje Minic