Local Short-Time Acceleration and deSitter Spacetime induced Extra Spectral Broadening: a Simple Interpretation of Modified Inertial in MOND

TL;DR

This paper introduces a quantum effect that causes spectral broadening due to local short-time acceleration and deSitter spacetime, offering a simple interpretation of modified inertia in MOND and linking quantum principles to cosmic acceleration.

Contribution

It proposes a novel quantum effect explaining spectral broadening in accelerated frames, extending the Unruh effect to short-time accelerations, and provides a quantum foundation for modified inertia in MOND.

Findings

Spectral broadening due to local short-time acceleration

Unified explanation for cosmic acceleration and galactic rotation anomalies

Quantum equivalence principle as a basis for modified inertia

Abstract

This paper proposes a novel quantum effect wherein particle spectra show extra broadening due to local short-time acceleration (as well as in a deSitter spacetime background). This effect provides a simple interpretation for the acceleration interpolation relation required to modify the kinematics of a test particle in the Modified Inertial interpretation of Modified Newtonian Dynamics (MOND). This effect can be regarded as a generalization of the thermal blackbody spectrum generated by the Unruh effect (which arises from long-time uniform acceleration in a flat background) to the scenario of local short-time non-uniform acceleration. This effect offers a unified framework for understanding the accelerated expansion of the universe and the anomalies in galactic rotation curves or radial acceleration. It is worth emphasizing that this modified kinematic interpretation of MOND necessitates a quantum equivalence principle as its physical foundation, that is, extending the equivalence at the level of expectation values (first-order moments) in the classical equivalence principle to the equivalence at the level of second-order moment quantum fluctuations. Therefore, the role of this effect within the frameworks of quantum reference frames and quantum gravity is also discussed to some extent.