Exotic Rotational Correlations in Quantum Geometry

TL;DR

This paper proposes that quantum geometry exhibits rotational fluctuations at the Planck scale, which could influence gravity and relate to the cosmological constant, suggesting a deep link between quantum gravity and cosmology.

Contribution

It introduces a Lorentz invariant statistical model of rotational correlations in quantum geometry, connecting microscopic quantum effects to macroscopic gravitational phenomena.

Findings

Rotational quantum fluctuations affect gravity at large scales.

Spacelike correlations describe inertial frame fluctuations.

Potential link between cosmological constant and quantum geometry.

Abstract

It is argued that the classical local inertial frame used to define rotational states of quantum systems is only approximate, and that geometry itself must also be rotationally quantized at the Planck scale. A Lorentz invariant statistical model of correlations in quantum geometry on larger scales predicts spacelike correlations that describe rotational fluctuations in the inertial frame. Fluctuations are estimated to significantly affect the gravity of quantum field states on a macroscopic scale, characterized by the Chandrasekhar radius. It is suggested that the cosmological constant might be a signature of exotic rotational correlations entangled with the strong interaction vacuum, and have a value determined entirely by Planck scale quantum gravity and Standard Model fields.