Phys. Rev. D 73, 027301 (2006) [4 pages]Alternative proposal to modified Newtonian dynamicsReceived 19 July 2005; published 23 January 2006 From a study of conserved quantities of the so-called modified Newtonian dynamics we propose an alternative to this theory. We show that this proposal is consistent with the Tully-Fisher law, has conserved quantities whose Newtonian limit are the energy and angular momentum, and can be useful to explain cosmic acceleration. The dynamics obtained suggests that, when acceleration is very small, time depends on acceleration. This result is analogous to that of special relativity where time depends on velocity. © 2006 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.73.027301
DOI:
10.1103/PhysRevD.73.027301
PACS:
95.35.+d, 45.20.D−
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