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Title: Interferometric Constraints on Spacelike Coherent Rotational Fluctuations

Journal Article · · Physical Review Letters
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [3]; ORCiD logo [4];  [5]; ORCiD logo [6]; ORCiD logo [7];  [8]; ORCiD logo [8];  [6]
  1. California Institute of Technology (CalTech), Pasadena, CA (United States)
  2. Univ. of Chicago, IL (United States); Korea Advanced Inst. Science and Technology (KAIST), Daejeon (Korea, Republic of)
  3. Univ. of Michigan, Ann Arbor, MI (United States)
  4. Univ. of Chicago, IL (United States); Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
  5. California Institute of Technology (CalTech), Pasadena, CA (United States); Univ. of California, Santa Cruz, CA (United States)
  6. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
  7. Univ. of Chicago, IL (United States)
  8. Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)

In this Letter, precision measurements are reported of the cross-spectrum of rotationally induced differential position displacements in a pair of colocated 39 m long, high-power Michelson interferometers. One arm of each interferometer is bent 90° near its midpoint to obtain sensitivity to rotations about an axis normal to the plane of the instrument. The instrument achieves quantum-limited sensing of spatially correlated signals in a broad frequency band extending beyond the 3.9-MHz inverse light travel time of the apparatus. For stationary signals with bandwidth Δ$$\textit{f}$$ > 10 kHz, the sensitivity to rotation-induced strain h of classical or exotic origin surpasses $$\text{CSD}_{δh} < t_P$$/2, where $$t_P$$ = 5.39 × 10–44 $$\textit{s}$$ is the Planck time. This measurement is used to constrain a semiclassical model of nonlocally coherent rotational degrees of freedom of spacetime, which have been conjectured to emerge in holographic quantum geometry but are not present in a classical metric.

Research Organization:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP); USDOE Laboratory Directed Research and Development (LDRD) Program
Grant/Contract Number:
AC02-07CH11359
OSTI ID:
1780590
Report Number(s):
FERMILAB-PUB-20-558-E; arXiv:2012.06939; oai:inspirehep.net:1836365; TRN: US2209736
Journal Information:
Physical Review Letters, Vol. 126, Issue 24; ISSN 0031-9007
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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