Noncommutative geometry and asymptotic safe gravity and MOND

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SUMMARY

The discussion centers on two recent papers exploring Modified Newtonian Dynamics (MOND) through the lenses of noncommutative geometry and asymptotic safe gravity. The first paper by Peter K.F. Kuhfittig proposes that noncommutative geometry can explain the flat rotation curves of galaxies, potentially eliminating the need for dark matter. The second paper by Bijan Bagchi and Sauvik Sen examines MOND in the context of asymptotic safe gravity, estimating quantum corrections to the MOND potential and establishing bounds on the circular velocity of spiral galaxies. Both papers contribute to the ongoing discourse on MOND but do not present revolutionary changes in the understanding of gravity.

PREREQUISITES
  • Understanding of Modified Newtonian Dynamics (MOND)
  • Familiarity with noncommutative geometry concepts
  • Knowledge of asymptotic safe gravity theories
  • Basic principles of General Relativity and Quantum Cosmology
NEXT STEPS
  • Read "Noncommutative Geometry and MOND" (arXiv:2207.10459)
  • Explore "MOND and Asymptotic Safe Gravity" (arXiv:2205.15724)
  • Investigate the implications of quantum corrections in gravitational theories
  • Study the relationship between MOND and dark matter alternatives
USEFUL FOR

Researchers in theoretical physics, cosmologists, and anyone interested in the implications of MOND on gravitational theories and dark matter alternatives.

kodama
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TL;DR
Noncommutative geometry and asymptotic safe gravity and MOND
I saw 2 recent papers on MOND

are they promising

[Submitted on 21 Jul 2022]

Noncommutative geometry and MOND​


Peter K.F. Kuhfittig

Modified Newtonian dynamics (MOND) is a hypothesized modification of Newton's law of universal gravitation to account for the flat rotation curves in the outer regions of galaxies, thereby eliminating the need for dark matter. Although a highly successful model, it is not a self-contained physical theory since it is based entirely on observations. It is proposed in this paper that noncommutative geometry, an offshoot of string theory, can account for the flat rotation curves and thereby provide an explanation for MOND. This paper extends an earlier heuristic argument by the author.


Comments:5 pages, no figures
Subjects: General Relativity and Quantum Cosmology (gr-qc)
Cite as:arXiv:2207.10459 [gr-qc]
(or arXiv:2207.10459v1 [gr-qc] for this version)
https://doi.org/10.48550/arXiv.2207.10459


[Submitted on 31 May 2022]

MOND and asymptotic safe gravity​


Bijan Bagchi, Sauvik Sen

The modified Newtonian dynamics (MOND) paradigm is discussed in the context of asymptotic safe gravity. We estimate quantum correction to the logarithmic potential which is well known to account for the constancy of the circular velocity v of the spiral galaxies. We determine plausible bounds on v.


Comments:7 pages
Subjects: General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th)
Cite as:arXiv:2205.15724 [gr-qc]
 
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The first looks ad-hoc to me with its smeared out particles. The second is a nice detail about MOND, giving a quantum correction to the MOND potential, which suggests interesting features for systems with tiny radius (in the quantum regime) - but not a revolutionary change BTW.
 
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Maarten Havinga said:
The first looks ad-hoc to me with its smeared out particles. The second is a nice detail about MOND, giving a quantum correction to the MOND potential, which suggests interesting features for systems with tiny radius (in the quantum regime) - but not a revolutionary change BTW.
so does asymptotic safe gravity give rise to MOND
 
I dunno
 

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