Is violation of Newton's second law possible?

TL;DR

This paper explores the possibility that Newton's second law might be violated under extremely small accelerations, proposing terrestrial experiments to detect spontaneous accelerations predicted by modified Newtonian dynamics (MOND).

Contribution

It presents the first terrestrial analysis of MOND effects, identifying specific conditions where Newton's law could break down and suggesting feasible experiments to test this.

Findings

Two spots on Earth show spontaneous acceleration near equinoxes.

Experimental detection of this effect may be feasible.

Supports the possibility of Newton's law violation at small accelerations.

Abstract

Astrophysical observations (usually explained by dark matter) suggest that classical mechanics could break down when the acceleration becomes extremely small (the approach known as modified Newtonian dynamics, or MOND). I present the first analysis of MOND manifestations in terrestrial (rather than astrophysical) settings. A new effect is reported: around each equinox date, 2 spots emerge on the Earth where static bodies experience spontaneous acceleration due to the possible violation of Newton's second law. Preliminary estimates indicate that an experimental search for this effect can be feasible.