Exotic Rotational Correlations in Emergent Quantum Geometry [CL]

http://arxiv.org/abs/1509.07997


Estimates are presented of exotic, purely rotational correlations that arise in large systems if directions in space-time emerge from Planck scale quantum elements with no fixed classical background space. In the time domain, directions to world lines at finite separation $R$ from any world line coherently fluctuate in the classical (that is, $R\rightarrow \infty$) inertial frame, on a timescale $R/c$, by an angle of order $R^{-1/2}$ in Planck units. The exact exotic correlation function is computed for the signal in a Sagnac type interferometer of arbitrary shape. The signal variance is equal to twice the enclosed area divided by the perimeter, in Planck units. It is conjectured that exotic Planck scale rotational correlations, entangled with the strong interactions, determine the value of the cosmological constant. Cosmic acceleration may be viewed heuristically as centrifugal acceleration by rotational fluctuations of the matter vacuum. An experiment concept is sketched, based on a reconfiguration of the Fermilab Holometer.

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C. Hogan
Tue, 29 Sep 15
32/69

Comments: 25 pages, 6 figures