A relational version of modified newtonian dynamics (MOND)

Modified newtonian dynamics (MOND) is intended for description of galaxy rotation curves and some other astrophysical phenomena without introduction of the dark matter hypothesis, which seems to encounter serious difficulties. Being rather simple and rich of its consequences, it leaves several questions concerning what physics underlies it. In present work, after brief discussion of the well-known versions of MOND, a new, relational version is proposed, which is based, firstly, on statistical approach to the nature of space-time, and secondly, on the idea of P. K. Rashevsky about modification of classical space-time relations at large distances. In the framework of the proposed approach the effect of gravitational deflection of light is considered.