A New interpretation of MOND based on Mach principle and an Unruh like effect

TL;DR

This paper proposes a new interpretation of MOND by linking Mach principle and Unruh-like effects, suggesting a modification of gravitational mass in low acceleration regimes based on horizon physics.

Contribution

It introduces a novel perspective connecting Mach principle, Unruh effects, and a generalized equivalence principle to explain MOND as a change in gravitational mass.

Findings

Derives MOND behavior from horizon-induced modifications of gravitational mass.

Shows consistency with Newtonian dynamics at high accelerations.

Provides a theoretical basis for MOND without dark matter.

Abstract

A new interpretation is introduced for MOND based on the Sciama's interpretation of Mach principle and an Unruh like effect, in the context of a generalized equivalence principle. It is argued that in a locally accelerated frame with acceleration $a$ the appearance of a Rindler horizon may give rise to a constant acceleration $a_0$ as the local properties of cosmological horizon or Hubble length. The total gravitational acceleration inside this frame becomes the combination of $a$ with $a_0$. For $a\gg a_0$, the conventional gravitational mass $m_g$ interacts with the dominant acceleration as $m_g a$ and application of Sciama's interpretation leads to the standard Newtonian dynamics. For $a\ll a_0$, however, a reduced gravitational mass $\bar{m}_g$ interacts with the dominant acceleration as $\bar{m}_g a_0$ and the application of Sciama's interpretation on this reduced gravitational mass leads to MOND. This introduces a third proposal for MOND: {\it The modification of gravitational mass}.