2010/12/16 by Vladan Panković, Pankovic, Vladan, D. Kapor +1
Medicine · Physics and Astronomy · #Biofield Effects and Biophysics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Physics (physics.gen-ph) #Relativity and Gravitational Theory
paper · pdf · doi:10.48550/arxiv.1012.3533
openalex publication_date 2010/12/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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".