Newtonian Fractional-Dimension Gravity and Galactic Dynamics

I will present an alternative model of gravity based on the theory of fractional-dimension spaces applied to Newton's law of gravitation. In this Newtonian Fractional-Dimension Gravity (NFDG), Gauss's law as well as other fundamental classical gravitational laws are extended to a D-dimensional metric space, where D is a fractional (i.e., non-integer) dimension. NFDG can also be related to Modified Newtonian Dynamics (MOND) and used to explain the correlation (RAR) between the radial acceleration traced by galactic rotation curves and the baryonic acceleration obtained from the galactic mass distribution, without any additional dark matter contribution. In particular, NFDG can be applied to the galactic dynamics of spherically-symmetric and axially-symmetric structures and three examples of rotationally supported galaxies (NGC7814, NGC6503, NGC3741) will also be presented.