K-MOND (with "Dark Matter" as a distinction between Inertial and Gravitational Mass)

Details K-MOND (with "Dark Matter" as a distinction between Inertial and Gravitational Mass) K-MOND (with "Dark Matter" as a distinction between Inertial and Gravitational Mass)

2010-12-16

arxiv.org/abs/1012.3533v2

Physics

General Physics

5 pages, no figures

Scientific paper

In this work we definitely prove a possibility that Milgrom's modified Newtonian dynamics, MOND, can be consistently interpreted as a theory with the modified kinetic terms of the usual Newtonain dynamics, simply called k-MOND. Precisely, we suggest only a functional dependence between inertial and gravitational mass tending toward identity in the limit of large accelerations (characteristic for Newtonian dynamics and its relativistic generalizations) but which behaves as a principal non-identity in the limit of small accelerations (smaller than Milgrom's acceleration constant). This functional dependence implies a generalization of the kinetic terms (without any change of the gravitational potential energy terms) in the usual Newtonain dynamics including generalization of corresponding Lagrange formalism. Such generalized dynamics, k-MOND, is identical to Milgrom's MOND. Also, mentioned k-MOND distinction between inertial and gravitational mass would be formally treated as "dark matter".

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