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.
%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
}