- #1

kodama

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- TL;DR Summary
- origin of the MOND critical acceleration scale

I found these papers,

the first is that galaxies are fractal based on observation

Fractal Analysis of the UltraVISTA Galaxy Survey

Sharon Teles (1), Amanda R. Lopes (2), Marcelo B. Ribeiro (1,3) ((1) Valongo Observatory, Universidade Federal do Rio de Janeiro, Brazil, (2) Department of Astronomy, Observatório Nacional, Rio de Janeiro, Brazil, (3) Physics Institute, Universidade Federal do Rio de Janeiro, Brazil)

This paper seeks to test if the large-scale galaxy distribution can be characterized as a fractal system.

the second paper calculates

Gravitational force distribution in fractal structures

A. Gabrielli, F. Sylos Labini, S. Pellegrini

https://www.researchgate.net/publication/1840875_Gravitational_force_distribution_in_fractal_structures

so if galaxies are fractal, and Gravitational force distribution in fractal structures

putting both sets of ideas together there's this paper

arXiv:2111.01700

The origin of the MOND critical acceleration scale

David Roscoe

The irrefutable successes of MOND are predicated upon the idea that a critical gravitational acceleration scale, a0, exists. But, beyond its role in MOND, the question: 'Why should a critical gravitational acceleration scale exist at all?' remains unanswered. There is no deep understanding about what is going on.

Over roughly the same period that MOND has been a topic of controversy, Baryshev, Sylos Labini, Pietronero and others have been arguing, with equal controversy in earlier years, that, on medium scales at least, material in the universe is distributed in a quasi-fractal D≈2 fashion. There is a link: if the idea of a quasi-fractal D≈2 universe on medium scales is taken seriously then there is an associated characteristic mass surface density scale, ΣF say, and an associated characteristic gravitational acceleration scale, aF=4πGΣF. If, furthermore, the quasi-fractal structure is taken to include the inter-galactic medium, then it is an obvious step to consider the possibility that a0 and aF are the same thing.

Through the lens of very old ideas rooted in a Leibniz-Mach worldview we obtain a detailed understanding of the critical acceleration scale which, applied to the SPARC sample of galaxies with a stellar MLR, Υ∗∈(0.5,1.0), and using standard photometric mass models, provides a finite algorithm to recover the information that aF≈1.2×10−10mtrs/sec2. This, combined with the fact that the Baryonic Tully-Fisher Relationship (BTFR) arises directly from the same source, but with a0 replaced by aF, leads to the unambiguous conclusion that a0 and aF are, in fact, one and the same thing.

Comments: arXiv admin note: substantial text overlap with arXiv:2006.08148

Subjects: Astrophysics of Galaxies (astro-ph.GA)

Cite as: arXiv:2111.01700 [astro-ph.GA]

any reviews

the first is that galaxies are fractal based on observation

Fractal Analysis of the UltraVISTA Galaxy Survey

Sharon Teles (1), Amanda R. Lopes (2), Marcelo B. Ribeiro (1,3) ((1) Valongo Observatory, Universidade Federal do Rio de Janeiro, Brazil, (2) Department of Astronomy, Observatório Nacional, Rio de Janeiro, Brazil, (3) Physics Institute, Universidade Federal do Rio de Janeiro, Brazil)

This paper seeks to test if the large-scale galaxy distribution can be characterized as a fractal system.

the second paper calculates

Gravitational force distribution in fractal structures

A. Gabrielli, F. Sylos Labini, S. Pellegrini

https://www.researchgate.net/publication/1840875_Gravitational_force_distribution_in_fractal_structures

so if galaxies are fractal, and Gravitational force distribution in fractal structures

putting both sets of ideas together there's this paper

arXiv:2111.01700

The origin of the MOND critical acceleration scale

David Roscoe

The irrefutable successes of MOND are predicated upon the idea that a critical gravitational acceleration scale, a0, exists. But, beyond its role in MOND, the question: 'Why should a critical gravitational acceleration scale exist at all?' remains unanswered. There is no deep understanding about what is going on.

Over roughly the same period that MOND has been a topic of controversy, Baryshev, Sylos Labini, Pietronero and others have been arguing, with equal controversy in earlier years, that, on medium scales at least, material in the universe is distributed in a quasi-fractal D≈2 fashion. There is a link: if the idea of a quasi-fractal D≈2 universe on medium scales is taken seriously then there is an associated characteristic mass surface density scale, ΣF say, and an associated characteristic gravitational acceleration scale, aF=4πGΣF. If, furthermore, the quasi-fractal structure is taken to include the inter-galactic medium, then it is an obvious step to consider the possibility that a0 and aF are the same thing.

Through the lens of very old ideas rooted in a Leibniz-Mach worldview we obtain a detailed understanding of the critical acceleration scale which, applied to the SPARC sample of galaxies with a stellar MLR, Υ∗∈(0.5,1.0), and using standard photometric mass models, provides a finite algorithm to recover the information that aF≈1.2×10−10mtrs/sec2. This, combined with the fact that the Baryonic Tully-Fisher Relationship (BTFR) arises directly from the same source, but with a0 replaced by aF, leads to the unambiguous conclusion that a0 and aF are, in fact, one and the same thing.

Comments: arXiv admin note: substantial text overlap with arXiv:2006.08148

Subjects: Astrophysics of Galaxies (astro-ph.GA)

Cite as: arXiv:2111.01700 [astro-ph.GA]

any reviews