Exotic rotational correlations in quantum geometry

Hogan, Craig J.

doi:10.1103/physrevd.95.104050

Cited by 12 publications

(37 citation statements)

References 28 publications

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“…Using standard algebraic methods [18,65,66], it can be shown that in an eigenstate ofτ 3 , τ 1 = τ 2 = 0 (38) and τ 2 1 = τ 2 2 = τ 2 −τ 2 3 /2 = t 2 P [l(l + 1) − m 2 ]/2. (39) Since m 2 ≤ l 2 , we can write a generalized uncertainty principle for quantum fluctuations in any three orthogonal directions:…”

Section: Nonlocal Information Projection and Uncertaintymentioning

confidence: 99%

Pattern of perturbations from a coherent quantum inflationary horizon

Hogan

2020

Class. Quantum Grav.

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It is proposed that the inflationary horizon in holographic quantum gravity imprints primordial scalar curvature perturbations with a distinctive pattern whose correlations differ from the standard quantum theory of inflation. Holographic and causal constraints are used to formulate candidate directional symmetries of perturbations in the angular domain. It is suggested that this hypothesis could provide a physical explanation for several well known anomalies measured in CMB anisotropy. New exact symmetries are predicted, such as a vanishing temperature correlation function at 90 degrees angular separation, that can be tested with current data.

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Section: Nonlocal Information Projection and Uncertaintymentioning

confidence: 99%

Pattern of perturbations from a coherent quantum inflationary horizon

Hogan

2020

Class. Quantum Grav.

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“…Unlike the particle example, geometrical states are universal: they must entangle with all forms of matter and energy on a light cone in all directions, not just a single pair of particles. Their correlations describe the relationship of the local inertial frame of a world line to the rest of the universe [13][14][15].…”

Section: Physical Effects Of Exotic Correlationsmentioning

confidence: 99%

Nonlocal entanglement and directional correlations of primordial perturbations on the inflationary horizon

Hogan

2019

Phys. Rev. D

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Models are developed to estimate properties of relic cosmic perturbations with "spooky" nonlocal correlations on the inflationary horizon, analogous to those previously posited for information on black hole event horizons. Scalar curvature perturbations are estimated to emerge with a dimensionless power spectral density ∆ 2 S ≈ HtP , the product of inflationary expansion rate H with Planck time tP , larger than standard inflaton fluctuations. Current measurements of the spectrum are used to derive constraints on parameters of the effective potential in a slow-roll background. It is shown that spooky nonlocality can create statistically homogeneous and isotropic primordial curvature perturbations that are initially directionally antisymmetric. New statistical estimators are developed to study unique signatures in CMB anisotropy and large scale galaxy surveys.

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“…Various models mathematically suggest such nonclassicality [1,2,3,4,5], but it is not clear exactly how much the physical metric departs from the classical structure, nor how the effects of Planck-scale fluctuations affect the geodesic of an object on larger scales. Some estimates of the quantum deviations from a classical background [6,7,8,9,10,11,12,13,14], based on extrapolations of standard physics normalized to match black hole entropy, have suggested that quantum fluctuations could lead to positional decoherence on small but measurable scales (10 −18 m in a 1-m system). Moreover, these fluctuations of relative position are predicted to correlate spatially over distances small compared to the system size.…”

Section: Introductionmentioning

confidence: 99%

The Holometer: an instrument to probe Planckian quantum geometry

Chou

Glass

Gustafson

et al. 2017

Class. Quantum Grav.

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This paper describes the Fermilab Holometer, an instrument for measuring correlations of position variations over a fourdimensional volume of space-time. The apparatus consists of two co-located, but independent and isolated, 40-m power-recycled Michelson interferometers, whose outputs are cross-correlated to 25 MHz. The data are sensitive to correlations of differential position across the apparatus over a broad band of frequencies up to and exceeding the inverse light crossing time, 7.6 MHz. A noise model constrained by diagnostic and environmental data distinguishes among physical origins of measured correlations, and is used to verify shot-noise-limited performance. These features allow searches for exotic quantum correlations that depart from classical trajectories at spacelike separations, with a strain noise power spectral density sensitivity smaller than the Planck time. The Holometer in current and future configurations is projected to provide precision tests of a wide class of models of quantum geometry at the Planck scale, beyond those already constrained by currently operating gravitational wave observatories.

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Exotic rotational correlations in quantum geometry

Cited by 12 publications

References 28 publications

Pattern of perturbations from a coherent quantum inflationary horizon

Pattern of perturbations from a coherent quantum inflationary horizon

Nonlocal entanglement and directional correlations of primordial perturbations on the inflationary horizon

The Holometer: an instrument to probe Planckian quantum geometry

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