Fractional-Dimension Gravity and the Milky Way Galaxy
Abstract
In this work, we focus our analysis of Fractional-Dimension Gravity (FDG) on our home galaxy, the Milky Way (MW), by using the latest Gaia DR3 data as well as previous rotation curve (RC) data for this galaxy. FDG is an alternative gravitational model (previously known as Newtonian Fractional-Dimension Gravity - NFDG) which does not require the dark matter (DM) paradigm. The MW is studied here with the methods of FDG and its observed rotation curves are successfully reproduced by using a variable fractional dimension D (R), following previous studies of several other galaxies which were analyzed with the same methodology. An alternative dimension function Dm(R ), based on the mass-dimension field equation, was also used and yielded less accurate fits to the experimental data. In addition, we also considered possible implications of the FDG metric, based on the presence of additional weights, on the structure of Special Relativity (SR) for spacetimes with fractional dimension. One notable, but very speculative outcome of this analysis is the possibility of an effective superluminal motion in galactic regions where the space dimension is D<3.
Versions
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BibTeX
@misc{varieschi2026fractionaldimension,
title = {{Fractional-Dimension Gravity and the Milky Way Galaxy}},
author = {Gabriele U. Varieschi},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2607.01412},
eprint = {2607.01412},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.01412},
}
RIS
TY - UNPB
TI - Fractional-Dimension Gravity and the Milky Way Galaxy
AU - Gabriele U. Varieschi
PY - 2026
DA - 2026/09/30
PB - arXiv
DO - 10.48550/arxiv.2607.01412
UR - https://arxiv.org/abs/2607.01412
AB - In this work, we focus our analysis of Fractional-Dimension Gravity (FDG) on our home galaxy, the Milky Way (MW), by using the latest Gaia DR3 data as well as previous rotation curve (RC) data for this galaxy. FDG is an alternative gravitational model (previously known as Newtonian Fractional-Dimension Gravity - NFDG) which does not require the dark matter (DM) paradigm. The MW is studied here with the methods of FDG and its observed rotation curves are successfully reproduced by using a variable fractional dimension D (R), following previous studies of several other galaxies which were analyzed with the same methodology. An alternative dimension function D_m(R ), based on the mass-dimension field equation, was also used and yielded less accurate fits to the experimental data. In addition, we also considered possible implications of the FDG metric, based on the presence of additional weights, on the structure of Special Relativity (SR) for spacetimes with fractional dimension. One notable, but very speculative outcome of this analysis is the possibility of an effective superluminal motion in galactic regions where the space dimension is D<3.
ER -