Statistical measures of Planck scale signal correlations in interferometers

Hogan, Craig J.; Kwon, Ohkyung

doi:10.1088/1361-6382/aa601e

Title: Statistical measures of Planck scale signal correlations in interferometers

Journal Article · Wed Mar 08 00:00:00 EST 2017 · Classical and Quantum Gravity

DOI:https://doi.org/10.1088/1361-6382/aa601e· OSTI ID:1212688

Hogan, Craig J. ^[1]; Kwon, Ohkyung ^[2]

Univ. of Chicago, Chicago, IL (United States); Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States); Korea Advanced Institute of Science and Technology (KAIST), Daejeon (Republic of Korea)

Here, a model-independent statistical framework is presented to interpret data from systems where the mean time derivative of positional cross correlation between world lines, a measure of spreading in a quantum geometrical wave function, is measured with a precision smaller than the Planck time. The framework provides a general way to constrain possible departures from perfect independence of classical world lines, associated with Planck scale bounds on positional information. A parametrized candidate set of possible correlation functions is shown to be consistent with the known causal structure of the classical geometry measured by an apparatus, and the holographic scaling of information suggested by gravity. Frequency-domain power spectra are derived that can be compared with interferometer data. As a result, simple projections of sensitivity for specific experimental set-ups suggests that measurements will directly yield constraints on a universal time derivative of the correlation function, and thereby confirm or rule out a class of Planck scale departures from classical geometry.

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Research Organization:: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: AC02-07CH11359

OSTI ID:: 1212688

Report Number(s):: FERMILAB-PUB-15-268-A; arXiv:1506.06808; 1377568

Journal Information:: Classical and Quantum Gravity, Vol. 34, Issue 7; ISSN 0264-9381

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 6 works

Citation information provided by
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