Document Type
Article - pre-print
Publication Date
2-2021
Abstract
This paper continues previous work on a novel alternative model of gravity, based on the theory of fractional-dimension spaces applied to Newton's law of gravitation. In particular, our Newtonian Fractional-Dimension Gravity is now applied to axially-symmetric structures, such as thin/thick disk galaxies described by exponential, Kuzmin, or other similar mass distributions. As in the case of spherically-symmetric structures, which was studied in previous work on the subject, we examine a possible connection between our model and Modified Newtonian Dynamics, a leading alternative gravity model, which accounts for the observed properties of galaxies and other astrophysical structures without requiring the dark matter hypothesis. By relating the MOND acceleration constant $a_{0} \simeq 1.2 \times 10^{ -10}\mbox{m}\thinspace \mbox{s}^{ -2}$ to a natural scale length $l_{0}$ of our model, namely $a_{0} \approx GM/l_{0}^{2}$ for a galaxy of mass $M$, and by using the empirical Radial Acceleration Relation, we are able to explain the connection between the observed radial acceleration $g_{obs}$ and the baryonic radial acceleration $g_{bar}$ in terms of a variable local dimension $D$. As an example of this methodology, we provide a detailed rotation curve fitting for the case of the field dwarf spiral galaxy NGC 6503.
Original Publication Citation
G. U. Varieschi, “Newtonian Fractional-Dimension Gravity and Disk Galaxies,” Eur. Phys. J. Plus, vol. 136, no. 2, p. 183, Feb. 2021, doi: 10.1140/epjp/s13360-021-01165-w.
Digital Commons @ LMU & LLS Citation
Varieschi, Gabriele U., "Newtonian Fractional-Dimension Gravity and Disk Galaxies" (2021). Physics Faculty Works. 61.
https://digitalcommons.lmu.edu/phys_fac/61
