Document Type
Article
Publication Date
2020
Abstract
This paper introduces a possible alternative model of gravity based on the theory of fractional-dimension spaces and its applications to Newtonian gravity. In particular, Gauss’s law for gravity as well as other fundamental classical laws are extended to a D-dimensional metric space, where D can be a non-integer dimension. We show a possible connection between this Newtonian Fractional-Dimension Gravity (NFDG) and Modified Newtonian Dynamics (MOND), a leading alternative gravity model which accounts for the observed properties of galaxies and other astrophysical structures without requiring the dark matter hypothesis.
Digital Commons @ LMU & LLS Citation
Varieschi, Gabriele U., "NEWTONIAN FRACTIONAL-DIMENSION GRAVITY AND MOND" (2020). Physics Faculty Works. 62.
https://digitalcommons.lmu.edu/phys_fac/62