Narrow Results

In this work we present a scalar field theory invariant under space-time anisotropic transformations with a dynamic exponent z. It is shown that this theory possesses symmetries similar to Hořava gravity and that in the limit z = 0 the equations of motion of the non-relativistic MOND theory are obtained. This result allow us to conjecture the existence of a Hořava type gravity that in the limit z = 0 is consistent with MOND.

A permissible spectrum of transverse vibrations for the holographic screen modifies both a distribution of thermal energy over bits at low temperatures and the law of gravitation at small accelerations of free fall in agreement with observations of flat rotation curves in spiral galaxies. This modification relates holographic screen parameters in de Sitter spacetime with the Milgrom acceleration in MOND.