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.

arXiv comment10 pages; minor changes to match the published version

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Cited by in corpus (16)

• Modified Newtonian Dynamics (MOND): Observational Phenomenology and Relativistic Extensions
• Photon and Graviton Mass Limits
• 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
• MOND orbits in the Oort cloud
• On Newton's Third Law and its Symmetry-Breaking Effects
• 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
• Reconciliation of MOND and Dark Matter theory
• Evidence for Modified Newtonian Dynamics from Cavendish-type gravitational constant experiments
• Can MOND type hypotheses be tested in a free fall laboratory environment?
• Satellite Test of the Equivalence Principle as a Probe of Modified Newtonian Dynamics
• Testing MOND on Earth
• Test of the Law of Gravitation at small Accelerations
• Around MOND: Lagrangians, Hubble Equations, Perturbations and External Field Effect