Recurrent Nightmares?: Measurement Theory in de Sitter Space

Abstract

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 recurrences that occur in the mathematical formulation of quantum de Sitter (dS) space. It also implies that the mathematical quantum theory of dS space is not unique. There will be many different Hamiltonians, which give the same results, within the uncertainty in all possible measurements.

19 pages, no figures, unfortunate omission in references corrected

References in corpus (14)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• The holographic principle
• Measurements of the Cosmological Parameters Omega and Lambda from the First 7 Supernovae at z >= 0.35
• The dS/CFT Correspondence
• The Stretched Horizon and Black Hole Complementarity
• Multiple Peaks in the Angular Power Spectrum of the Cosmic Microwave Background: Significance and Consequences for Cosmology
• Disturbing Implications of a Cosmological Constant
• Cosmological Parameter Extraction from the First Season of Observations with DASI
• Cosmological implications of the MAXIMA-I high resolution Cosmic Microwave Background anisotropy measurement
• Is There Really a de Sitter/CFT Duality
• Constraints on Cosmological Parameters from MAXIMA-1
• Geometry and Destiny
• Frequentist Estimation of Cosmological Parameters from the MAXIMA-1 Cosmic Microwave Background Anisotropy Data
• Entropy of the Stiffest Stars

Cited by in corpus (61)

• The Trouble with de Sitter Space
• Observables in effective gravity
• Can the universe afford inflation?
• A Measure of de Sitter Entropy and Eternal Inflation
• De Sitter Musings
• Holographic Protection of Chronology in Universes of the Godel Type
• The Multiverse Interpretation of Quantum Mechanics
• Towards a quantum theory of de Sitter space
• The fate of four dimensions
• Searching for a holographic connection between dark energy and the low-l CMB multipoles
• de Sitter Black Holes with Either of the Two Horizons as a Boundary
• The Fall of Stringy de Sitter
• Primeval Corrections to the CMB Anisotropies
• Physical Theories, Eternal Inflation, and Quantum Universe
• A global picture of quantum de Sitter space
• Accelerating Universes and String Theory
• Information Recovery From Black Holes
• Quantization in black hole backgrounds
• Microscopic Quantum Mechanics of the p=ρUniverse
• A new twist on dS/CFT
• Quantum complexity in gravity, quantum field theory, and quantum information science
• The clock ambiguity and the emergence of physical laws
• Future Boundary Conditions in De Sitter Space
• Incompressible Fluids of the de Sitter Horizon and Beyond
• Moduli Entrapment with Primordial Black Holes
• Miracles and complementarity in de Sitter space
• On Thermalization in de Sitter Space
• Auto-localization in de-Sitter space
• de Sitter equilibrium as a fundamental framework for cosmology
• Tall tales from de Sitter space II: Field theory dualities
• The Cosmological Switchback Effect
• Relational observables in 2d quantum gravity
• q-Deformed de Sitter/Conformal Field Theory Correspondence
• Encoding beyond cosmological horizons in de Sitter JT gravity
• Observational Implications of Cosmological Event Horizons
• A repulsive force in the Einstein theory
• Closed universes in two dimensional gravity
• Bridging the static patches: de Sitter holography and entanglement
• Holography and Eternal Inflation
• Logarithmic Corrections, Entanglement Entropy, and UV Cutoffs in de Sitter Spacetime
• Supersymmetry Breaking and the Cosmological Constant
• A quantum measure of the multiverse
• Out of equilibrium: understanding cosmological evolution to lower-entropy states
• Holographic Space-time from the Big Bang to the de Sitter era
• Entropy of Quantum Fields in de Sitter Space-time
• Massive Gravitino Propagator in Maximally Symmetric Spaces and Fermions in dS/CFT
• A dilaton-axion model for string cosmology
• Tunneling Constraints on Effective Theories of Stable de Sitter Space
• Entropy of Microwave Background Radiation in Observable Universe
• Could Only Fermions Be Elementary?
• The Cosmological Switchback Effect II
• Closed FRW holography: A time-dependent ER=EPR realization
• No-Bang Quantum State of the Cosmos
• Probabilistic bound on extreme fluctuations in isolated quantum systems
• D/antiD Dark Energy in String Warped Compactification
• Worldlines as Wilson Lines
• Can Quantum de Sitter Space Have Finite Entropy?
• Quantum de Sitter geometry
• Remark About dS/CFT Correspondence
• Cosmological constant, inflation and no-cloning theorem
• Statistical entropy of three-dimensional q-deformed Kerr-de Sitter space