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Recurrent Nightmares?: Measurement Theory in de Sitter Space

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arxiv hep-th/0210160 v2 pith:2NHBH4RN submitted 2002-10-16 hep-th

classification hep-th
keywords spacemeasurementquantumsitterimpliesmathematicaltheoryargue
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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.

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Cited by 8 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Cosmological pole-skipping, shock waves and quantum chaotic dynamics of de Sitter horizons

    hep-th 2025-08 conditional novelty 7.0 of 10

    Pole-skipping in Schwarzschild-de Sitter predicts superluminal and imaginary butterfly velocities, confirmed by shock wave analysis, hinting at nonlocal and non-Hermitian dual dynamics.

  2. Matrix Multiverses Meet Multiple Mythologies

    hep-th 2026-08 conditional novelty 6.0 of 10

    The authors construct a model where asymptotically de Sitter universes are finite-entropy subsystems inside black holes in a maximal-entropy p=ρ universe, decaying on timescales far shorter than recurrence times.

  3. Quantum mechanics and observers for gravity in a closed universe

    hep-th 2025-01 conditional novelty 6.0 of 10

    An observer inside a closed universe gets an approximately standard quantum description on a Hilbert space of dimension about e^{their entropy}, accurate up to exponentially small errors.

  4. Holographic complexity of de-Sitter black holes

    hep-th 2026-06 unverdicted novelty 5.0 of 10

    In SdS black hole holography, CV and CV2.0 complexities grow linearly while CA growth vanishes due to finite action, with matching rates between static patch and dS/CFT schemes.

  5. Toward a Phenomenologically Acceptable Quantum Cyclic Universe

    gr-qc 2026-05 unverdicted novelty 4.0 of 10

    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 suppres...

  6. A Dynamical Systems Framework for Reinforcement Learning Safety and Robustness Verification

    cs.AI 2025-08 unverdicted novelty 4.0 of 10

    The claimed RL safety verification framework is absent from the manuscript; the body text is an unrelated high-energy physics paper about de Sitter horizon chaos.

  7. The Awada-Gibbons-Shaw Algebra in de Sitter Space and SUSY Breaking

    hep-th 2026-06 unverdicted novelty 2.0 of 10

    Rederives the cosmological supersymmetry breaking relation m_{3/2} = C / sqrt(R_dS L_P) from a deformation of the Awada-Gibbons-Shaw local supersymmetry algebra.

  8. Dark energy from string theory: an introductory review

    hep-th 2026-03 unverdicted novelty 2.0 of 10

    String theory imposes constraints on dark energy but permits various construction attempts for de Sitter vacua and single-field exponential quintessence models despite obstructions.

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