2026/02/28 by M. J. Luo
Physics and Astronomy · #gr-qc #astro-ph.HE #hep-th
15 pages, no figure, v2: title changed, some errors corrected, some gaps filled, elaboration of the quantum equivalence principle improved with more details
arxiv created 2026/07/30 · arxiv updated 2026/07/31
This paper proposes a novel non-inertial quantum effect wherein particle spectra show second-order moment extra Gaussian broadening due to local short-time (non-uniform) acceleration, as well as in a deSitter spacetime background. Although the effect is too small to be detected, it provides a mechanism for the cosmological constant to enter the local kinematics of particles in the form of acceleration. The acceleration composition relation of a proper motion acceleration and the cosmological constant playing the role of a background acceleration, which is required in the Modified Newtonian Dynamics (MOND). In this framework, MOND arises from the second-order moment correction to the squared-acceleration due to the non-inertial quantum effect of the deSitter background, rather than first-order moment correction to the classical geodesic equation of motion, which differs from most of the literature attempting to derive MOND, which can be confirmed or falsified in future high-precision measurements. The interpretation of MOND as a second moment effect necessitates a quantum equivalence principle as its physical foundation, that is, extending the classical equivalence at the level of mean values (first-order moments) to the quantum equivalence at the level of second moment quantum fluctuations. The effective distance quadratic form, effective curvature and effective acceleration, etc., modified by the universal second moments all behave as if they were real geometrical or physical quantities. This effect also offers a unified framework for understanding the accelerated expansion of the universe and the anomalies in galactic rotation curves or radial acceleration.