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In this work we definitely prove a possibility that Milgrom's modifiedNewtonian dynamics, MOND, can be consistently interpreted as a theory with themodified kinetic terms of the usual Newtonain dynamics, simply called k-MOND.Precisely, we suggest only a functional dependence between inertial andgravitational 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 smallaccelerations (smaller than Milgrom's acceleration constant). This functionaldependence implies a generalization of the kinetic terms (without any change ofthe gravitational potential energy terms) in the usual Newtonain dynamicsincluding generalization of corresponding Lagrange formalism. Such generalizeddynamics, k-MOND, is identical to Milgrom's MOND. Also, mentioned k-MONDdistinction between inertial and gravitational mass would be formally treatedas "dark matter".

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