Statistical model of exotic rotational correlations in emergent spacetime
A statistical model is formulated to compute exotic rotational correlations that arise as inertial frames and causal structure emerge on large scales from entangled Planck scale quantum systems. Noncommutative quantum dynamics are represented by random transverse displacements that respect causal symmetry. Entanglement is represented by covariance of these displacements in Planck scale intervals defined by future null cones of events on an observer's world line. Light that propagates in a nonradial direction inherits a projected component of the exotic rotational correlation that accumulates as a random walk in phase. A calculation of the projection and accumulation leads to exact predictions for statistical properties of exotic Planck scale correlations in an interferometer of any configuration. The crosscovariance for two nearly colocated interferometers is shown to depart only slightly from the autocovariance. Specific examples are computed for configurations that approximate realistic experiments, and show that the model can be rigorously tested.
 Authors:

^{[1]};
^{[2]};
^{[3]}
 Univ. of Chicago, Chicago, IL (United States)
 Korea Advanced Institute of Science and Technology, Daejeon (Republic of Korea)
 Univ. of Chicago, Chicago, IL (United States); Univ. of Michigan, Ann Arbor, MI (United States)
 Publication Date:
 Report Number(s):
 FERMILABPUB16264A; arXiv:1607.03048
Journal ID: ISSN 02649381; 1474997
 Grant/Contract Number:
 AC0207CH11359
 Type:
 Accepted Manuscript
 Journal Name:
 Classical and Quantum Gravity
 Additional Journal Information:
 Journal Volume: 34; Journal Issue: 13; Journal ID: ISSN 02649381
 Publisher:
 IOP Publishing
 Research Org:
 Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), High Energy Physics (HEP) (SC25)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; quantum geometry; holographic noise; planckian physics; optical interferometry; inertial frames; rotational correlations; quantum observables and statistics
 OSTI Identifier:
 1331775
Hogan, Craig, Kwon, Ohkyung, and Richardson, Jonathan. Statistical model of exotic rotational correlations in emergent spacetime. United States: N. p.,
Web. doi:10.1088/13616382/aa73c0.
Hogan, Craig, Kwon, Ohkyung, & Richardson, Jonathan. Statistical model of exotic rotational correlations in emergent spacetime. United States. doi:10.1088/13616382/aa73c0.
Hogan, Craig, Kwon, Ohkyung, and Richardson, Jonathan. 2017.
"Statistical model of exotic rotational correlations in emergent spacetime". United States.
doi:10.1088/13616382/aa73c0. https://www.osti.gov/servlets/purl/1331775.
@article{osti_1331775,
title = {Statistical model of exotic rotational correlations in emergent spacetime},
author = {Hogan, Craig and Kwon, Ohkyung and Richardson, Jonathan},
abstractNote = {A statistical model is formulated to compute exotic rotational correlations that arise as inertial frames and causal structure emerge on large scales from entangled Planck scale quantum systems. Noncommutative quantum dynamics are represented by random transverse displacements that respect causal symmetry. Entanglement is represented by covariance of these displacements in Planck scale intervals defined by future null cones of events on an observer's world line. Light that propagates in a nonradial direction inherits a projected component of the exotic rotational correlation that accumulates as a random walk in phase. A calculation of the projection and accumulation leads to exact predictions for statistical properties of exotic Planck scale correlations in an interferometer of any configuration. The crosscovariance for two nearly colocated interferometers is shown to depart only slightly from the autocovariance. Specific examples are computed for configurations that approximate realistic experiments, and show that the model can be rigorously tested.},
doi = {10.1088/13616382/aa73c0},
journal = {Classical and Quantum Gravity},
number = 13,
volume = 34,
place = {United States},
year = {2017},
month = {6}
}