# Scale-invariant dynamics of galaxies, MOND, dark matter, and the dwarf spheroidals

@article{Maeder2019ScaleinvariantDO, title={Scale-invariant dynamics of galaxies, MOND, dark matter, and the dwarf spheroidals}, author={Andre Maeder and Vesselin G. Gueorguiev}, journal={Monthly Notices of the Royal Astronomical Society}, year={2019}, volume={492}, pages={2698-2708} }

The Scale-Invariant Vacuum (SIV) theory is based on Weyl's Integrable Geometry, endowed with a gauge scalar field. The main difference between MOND and the SIV theory is that the first considers a global dilatation invariance of space and time, where the scale factor $\lambda$ is a constant, while the second opens the likely possibility that $\lambda$ is a function of time. The key equations of the SIV framework are used here to study the relationship between the Newtonian gravitational… Expand

#### 6 Citations

The Scale-Invariant Vacuum (SIV) Theory: A Possible Origin of Dark Matter and Dark Energy

- Physics
- 2020

The Scale Invariant Vacuum (SIV) theory rests on the basic hypothesis that the macroscopic empty space is scale invariant. This hypothesis is applied in the context of the Integrable Weyl Geometry,… Expand

Scale-invariant dynamics in the Solar system

- Physics
- Monthly Notices of the Royal Astronomical Society: Letters
- 2020

The covariant scale-invariant dynamics (SID) theory has recently been proposed as a possible explanation for the observed dynamical discrepancies in galaxies. SID implies that these discrepancies –… Expand

Effective interactions in Ricci-Based Gravity below the non-metricity scale

- Physics
- The European Physical Journal C
- 2020

We show how minimally-coupled matter fields of arbitrary spin, when coupled to Ricci-based gravity theories, develop non-trivial effective interactions that can be treated perturbatively only below a… Expand

Note on dark energy and cosmic transit in a scale-invariance cosmology

- Physics
- 2021

In general, the laws of physics are not invariant under a change of scale. To find out whether the 'scale-invariance hypothesis' corresponds to nature or not, a careful examination to its… Expand

On the relation of the lunar recession and the length-of-the-day

- Physics
- Astrophysics and Space Science
- 2021

We review the problem of the consistency between the observed values of the lunar recession from Lunar Laser Ranging (LLR) and of the increase of the length-of-the-day (LOD). From observations of… Expand

Resummed Quantum Gravity: A Review with Applications

- Computer Science
- Symmetry
- 2021

The Heisenberg uncertainty principle is used to remove a large part of the remaining uncertainty in the estimate of ρΛ, the value of the cosmological constant in the context of the Planck scale cosmology formulation of Bonanno and Reuter. Expand

#### References

SHOWING 1-10 OF 54 REFERENCES

NIHAO – XVIII. Origin of the MOND phenomenology of galactic rotation curves in a ΛCDM universe

- Physics
- Monthly Notices of the Royal Astronomical Society
- 2019

The phenomenological basis for Modified Newtonian Dynamics (MOND) is the radial-acceleration-relation (RAR) between the observed acceleration, $a=V^2_{rot}(r)/r$, and the acceleration accounted for… Expand

Dynamical Effects of the Scale Invariance of the Empty Space: The Fall of Dark Matter?

- Physics
- 2017

The hypothesis of the scale invariance of the macroscopic empty space, which intervenes through the cosmological constant, has led to new cosmological models. They show an accelerated cosmic… Expand

The distribution of mass components in simulated disc galaxies

- Physics
- 2016

Using 22 hydrodynamical simulated galaxies in a LCDM cosmological context we recover not only the observed baryonic Tully-Fisher relation, but also the observed "mass discrepancy--acceleration"… Expand

The growth of the density fluctuations in the scale-invariant theory: one more challenge for dark matter.

- Physics
- 2018

The growth of the density fluctuations is considered to be an important cosmological test. In the standard model, for a matter dominated universe, the growth of the density perturbations evolves with… Expand

The Mond Limit from Spacetime Scale Invariance

- Physics
- 2009

The modified Newtonian dynamics (MOND) limit is shown to follow from a requirement of spacetime scale invariance of the equations of motion for nonrelativistic, purely gravitational systems, i.e.,… Expand

The mass discrepancy acceleration relation in a ΛCDM context

- Physics
- 2016

The mass discrepancy acceleration relation (MDAR) describes the coupling between baryons and dark matter (DM) in galaxies: the ratio of total-to-baryonic mass at a given radius anti-correlates with… Expand

An alternative to the LCDM model: the case of scale invariance

- Physics
- 2017

The hypothesis is made that, at large scales where General Relativity may be applied, the empty space is scale invariant. This establishes a relation between the cosmological constant and the scale… Expand

The growth of the density fluctuations in the scale-invariant vacuum theory

- Physics
- Physics of the Dark Universe
- 2019

Abstract The growth of the density fluctuations is considered to be an important cosmological test. In the standard model, for a matter dominated universe, the growth of the density perturbations… Expand

Cosmological variation of the MOND constant: secular effects on galactic systems

- Physics
- 2015

The proximity of the MOND acceleration constant with cosmological accelerations -- for example, a0 cH0/2pi -- points to its possibly decreasing with cosmic time. I begin to consider the secular… Expand

Recovering the fundamental plane of galaxies by $f(R)$ gravity

- Physics
- 2016

Abstract The fundamental plane (FP) of galaxies can be recovered in the framework of f ( R ) gravity avoiding the issues related to dark matter to fit the observations. In particular, the power-law… Expand