Modified Newtonian dynamics (MOND) is an alternative theory to dark matter that modifies gravity at low accelerations.Modified Newtonian dynamics (MOND) is a hypothesis that proposes an alternative to dark matter by modifying Newtonian gravity at very low accelerations, such as those found in the outskirts of galaxies. Instead of invoking invisible mass, MOND suggests that the gravitational force law changes when acceleration falls below a critical threshold, leading to the observed flat rotation curves of galaxies without dark matter. This idea challenges the standard cosmological model and has sparked ongoing debates about the nature of gravity and the universe's mass budget.
MOND was introduced by Mordehai Milgrom in 1983 as an alternative to dark matter. It has been refined over the decades, with relativistic extensions like TeVeS proposed by Jacob Bekenstein in 2004.
MOND posits that for accelerations below a universal constant (about 10^-10 m/s^2), the effective gravitational force becomes stronger than Newtonian prediction, scaling as the square root of the product of mass and acceleration. This modification causes stars in a galaxy's outer regions to orbit faster than expected, mimicking the effect of dark matter. The theory has been successful in explaining galaxy rotation curves but struggles to account for observations like the Bullet Cluster, where dark matter's gravitational lensing appears separated from visible matter.
MOND is primarily a theoretical framework used in astrophysics to test gravity models and interpret galactic dynamics, though it has not yet led to practical technologies.
MOND's critical acceleration is remarkably close to the speed of light times the Hubble constant, hinting at a possible connection to cosmology, though this remains speculative.
| g_N | variable | Newtonian gravitational acceleration — acceleration metre per second squared |
| ν | variable | MOND interpolation function |
| a_0 | constant | Characteristic acceleration scale of Modified Newtonian Dynamics, below which deviations from Newtonian gravity appear. — mond acceleration scale = 1.2e-10 metre per second squared |
| θ | variable | State vector — state vector |
| F(θ) | variable | Expected increment function — increment function |
| ˙ | operator | Derivative with respect to time — time derivative |











