Noncommutative geometry and asymptotic safe gravity and MOND

In summary, the conversation discusses two recent papers on Modified Newtonian Dynamics (MOND) and its relationship with noncommutative geometry and asymptotic safe gravity. The first paper proposes that noncommutative geometry can explain the flat rotation curves in galaxies and provide an explanation for MOND. The second paper explores the quantum corrections to the MOND potential in the context of asymptotic safe gravity. While the second paper provides interesting details, it does not present a revolutionary change. The conversation ends with a question about whether asymptotic safe gravity gives rise to MOND.
  • #1
kodama
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TL;DR Summary
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
 
  • #4
I dunno
 

FAQ: Noncommutative geometry and asymptotic safe gravity and MOND

What is noncommutative geometry?

Noncommutative geometry is a branch of mathematics that generalizes the concepts of space and geometry. It replaces the classical notion of a smooth manifold with a noncommutative algebra of functions. This framework is particularly useful in quantum mechanics and quantum field theory, where the coordinates of space-time may not commute.

How does asymptotically safe gravity differ from general relativity?

Asymptotically safe gravity is a theory that extends general relativity by incorporating quantum effects. It posits that at very high energies, gravity becomes "safe" from divergences due to a non-trivial fixed point in the renormalization group flow. This contrasts with general relativity, which does not account for quantum corrections and can lead to singularities at extremely high energies.

What is MOND and how does it relate to dark matter?

MOND, or Modified Newtonian Dynamics, is a hypothesis that modifies Newton's laws to account for the observed discrepancies in galaxy rotation curves without invoking dark matter. It suggests that at very low accelerations, the effective gravitational force deviates from the classical Newtonian prediction. MOND provides an alternative explanation to dark matter for certain astrophysical phenomena.

Can noncommutative geometry provide insights into quantum gravity?

Yes, noncommutative geometry offers a potential framework for understanding quantum gravity. By treating space-time coordinates as noncommuting operators, it allows for the incorporation of quantum mechanical principles into the fabric of space-time itself. This approach can lead to new insights and models that might resolve the inconsistencies between general relativity and quantum mechanics.

Is there a connection between noncommutative geometry, asymptotic safety, and MOND?

While these three concepts originate from different theoretical frameworks, they all aim to address fundamental issues in our understanding of gravity and the universe. Noncommutative geometry provides a mathematical structure that can be used in both quantum gravity and modified theories like MOND. Asymptotic safety offers a way to make gravity finite at high energies, which could potentially align with the modifications proposed by MOND. Research is ongoing to explore possible connections and unified theories that incorporate elements from all three approaches.

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