The Tully-Fisher law and dark matter effects derived via modified symmetries

Institute of Science and Environment and FBL, University of Saint Joseph - Estrada Marginal da Ilha Verde, 14-17, Macao, China

^(a) E-mail: ivanarraut05@hotmail.com (corresponding author)

Received: 11 September 2023
Accepted: 23 October 2023

Abstract

In any physical system, when we move from short to large scales, new spacetime symmetries emerge which help us to simplify the dynamics of the system. In this letter we demonstrate that certain variations on the symmetries of general relativity at large scales generate the effects equivalent to dark matter ones. In particular, we reproduce the Tully-Fisher law, consistent with the predictions proposed by MOND. Additionally, we demonstrate that the dark matter effects derived in this way are consistent with the predictions suggested by MOND, without modifying gravity.