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

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}.

11 pages, throughout revision

References in corpus (1)

• A Machian Solution of the Hierarchy Problem

Cited by in corpus (2)

• MOND as a transformation between non-inertial reference frames via Sciama's interpretation of Mach's Principle
• Machian MOND: a variable $a_0$ in galaxy clusters