Statistical model of exotic rotational correlations in emergent spacetime
Abstract
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:
 Publication Date:
 Research Org.:
 Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), High Energy Physics (HEP) (SC25)
 OSTI Identifier:
 1331775
 Report Number(s):
 FERMILABPUB16264A; arXiv:1607.03048
Journal ID: ISSN 02649381; 1474997
 DOE Contract Number:
 AC0207CH11359
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Classical and Quantum Gravity; Journal Volume: 34; Journal Issue: 13
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Hogan, Craig, Kwon, Ohkyung, and Richardson, Jonathan. Statistical model of exotic rotational correlations in emergent spacetime. United States: N. p., 2017.
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
}

Exotic rotational correlations in quantum geometry
It is argued by extrapolation of general relativity and quantum mechanics that a classical inertial frame corresponds to a statistically defined observable that rotationally fluctuates due to Planck scale indeterminacy. Physical effects of exotic nonlocal rotational correlations on large scale field states are estimated. Their entanglement with the strong interaction vacuum is estimated to produce a universal, statistical centrifugal acceleration that resembles the observed cosmological constant.