%0 Generic %1 citeulike:12228105 %A Trippe, Sascha %D 2013 %K imported %T A Derivation of Modified Newtonian Dynamics %U http://arxiv.org/abs/1303.7071 %X Modified Newtonian Dynamics (MOND) is a possible solution for the missing mass problem in galactic dynamics; its predictions are in good agreement with observations in the limit of weak accelerations. However, MOND does not derive from a physical mechanism and does not make predictions on the transitional regime from Newtonian to modified dynamics; rather, empirical transition functions have to be constructed from the boundary conditions and comparison to observations. I compare the formalism of classical MOND to the scaling law derived from a toy model of gravity based on virtual massive gravitons (the "graviton picture") which I proposed recently. I conclude that MOND naturally derives from the "graviton picture" at least for the case of non-relativistic, highly symmetric dynamical systems. This suggests that - to first order - the "graviton picture" indeed provides a valid candidate for the physical mechanism behind MOND and gravity on galactic scales in general.

@misc{citeulike:12228105, abstract = {{Modified Newtonian Dynamics (MOND) is a possible solution for the missing mass problem in galactic dynamics; its predictions are in good agreement with observations in the limit of weak accelerations. However, MOND does not derive from a physical mechanism and does not make predictions on the transitional regime from Newtonian to modified dynamics; rather, empirical transition functions have to be constructed from the boundary conditions and comparison to observations. I compare the formalism of classical MOND to the scaling law derived from a toy model of gravity based on virtual massive gravitons (the "graviton picture") which I proposed recently. I conclude that MOND naturally derives from the "graviton picture" at least for the case of non-relativistic, highly symmetric dynamical systems. This suggests that - to first order - the "graviton picture" indeed provides a valid candidate for the physical mechanism behind MOND and gravity on galactic scales in general.}}, added-at = {2019-03-25T08:20:55.000+0100}, archiveprefix = {arXiv}, author = {Trippe, Sascha}, biburl = {https://www.bibsonomy.org/bibtex/2df1d7bd956d6c78649bedaf2556ca78f/ericblackman}, citeulike-article-id = {12228105}, citeulike-linkout-0 = {http://arxiv.org/abs/1303.7071}, citeulike-linkout-1 = {http://arxiv.org/pdf/1303.7071}, day = 28, eprint = {1303.7071}, interhash = {482c6b2776fab20f9ce3f48093b3974e}, intrahash = {df1d7bd956d6c78649bedaf2556ca78f}, keywords = {imported}, month = mar, posted-at = {2013-04-01 05:49:41}, priority = {2}, timestamp = {2019-03-25T08:20:55.000+0100}, title = {{A Derivation of Modified Newtonian Dynamics}}, url = {http://arxiv.org/abs/1303.7071}, year = 2013 }