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Title: Statistical model of exotic rotational correlations in emergent space-time

Journal Article · · Classical and Quantum Gravity
 [1];  [2];  [3]
  1. Univ. of Chicago, Chicago, IL (United States)
  2. Korea Advanced Institute of Science and Technology, Daejeon (Republic of Korea)
  3. Univ. of Chicago, Chicago, IL (United States); Univ. of Michigan, Ann Arbor, MI (United States)

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 cross-covariance for two nearly co-located 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.

Research Organization:
Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Grant/Contract Number:
AC02-07CH11359
OSTI ID:
1331775
Alternate ID(s):
OSTI ID: 22684187
Report Number(s):
FERMILAB-PUB--16-264-A; arXiv:1607.03048; 1474997
Journal Information:
Classical and Quantum Gravity, Journal Name: Classical and Quantum Gravity Journal Issue: 13 Vol. 34; ISSN 0264-9381
Publisher:
IOP PublishingCopyright Statement
Country of Publication:
United States
Language:
English