Is violation of Newton's second law possible?

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.

10 pages; minor changes to match the published version

References in corpus (4)

• Can Cosmic Structure form without Dark Matter?
• Can MOND take a bullet? Analytical comparisons of three versions of MOND beyond spherical symmetry
• MOND habitats within the solar system
• Alternative proposal to modified Newtonian dynamics

Cited by in corpus (8)

• Modelling the flyby anomalies using a modification of inertia
• Modified gravity and the origin of inertia
• Why do we Still Believe in Newton's Law ? Facts, Myths and Methods in Gravitational Physics
• Testing the Newton second law in the regime of small accelerations
• Newton's second law versus modified-inertia MOND: a test using the high-latitude effect
• Satellite Test of the Equivalence Principle as a Probe of Modified Newtonian Dynamics
• Testing MOND on Earth
• Around MOND: Lagrangians, Hubble Equations, Perturbations and External Field Effect