The first step is that we need to revisit the validity of Newton's universal law of gravitation. Starting in the 1980s, Mordehai Milgrom at the Weizmann Institute in Israel showed that a small generalisation of Newton's laws can yield the observed dynamics of matter in galaxies and in galaxy clusters without dark matter. This approach is broadly known as MOND (MOdified Newtonian Dynamics). Milgrom's correction allows gravitational attraction to fall off with distance more slowly than expected (rather than falling off with the square of distance as per Newton) when the local gravitational acceleration falls below an extremely low threshold. This threshold could be linked to other cosmological properties such as the ‘dark energy' that accounts for the accelerating expansion of the Universe. These links suggest a deeper fundamental theory of space, time and matter, which has not yet been formulated. (Pavel Kroupa)

The first step is that we need to revisit the validity of Newton's universal law of gravitation. Starting in the 1980s, Mordehai Milgrom at the Weizmann Institute in Israel showed that a small generalisation of Newton's laws can yield the observed dynamics of matter in galaxies and in galaxy clusters without dark matter. This approach is broadly known as MOND (MOdified Newtonian Dynamics). Milgrom's correction allows gravitational attraction to fall off with distance more slowly than expected (rather than falling off with the square of distance as per Newton) when the local gravitational acceleration falls below an extremely low threshold. This threshold could be linked to other cosmological properties such as the ‘dark energy' that accounts for the accelerating expansion of the Universe. These links suggest a deeper fundamental theory of space, time and matter, which has not yet been formulated.

Pavel Kroupa

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accelerating acceleration approach attraction correction dark distance dynamics energy expansion falling fall fundamental galaxy gravitation institute known law local low matter modified need newtonian off per revisit small space square starting step theory threshold time universal universe validity yet yield 1980s generalisation laws falls links newton israel mond

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