Conformal Gravity and the Radial Acceleration Relation

James G. O'Brien; Thomas L. Chiarelli; Mark A. Falcone; Muhannad H.; AlQurashi

arXiv:1901.01228·physics.gen-ph·April 10, 2019

Conformal Gravity and the Radial Acceleration Relation

James G. O'Brien, Thomas L. Chiarelli, Mark A. Falcone, Muhannad H., AlQurashi

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TL;DR

This paper demonstrates that conformal gravity can naturally explain the Radial Acceleration Relation observed in spiral galaxies without invoking dark matter, aligning with recent empirical findings.

Contribution

It shows how conformal gravity accounts for the Radial Acceleration Relation, providing an alternative to dark matter explanations.

Findings

01

Conformal gravity reproduces the Radial Acceleration Relation.

02

The model aligns with observational data without dark matter.

03

Supports conformal gravity as a viable alternative in galactic dynamics.

Abstract

During the 2016 International Workshop on Astronomy and Relativistic Astrophysics (IWARA), the question was raised as to if conformal gravity could explain the timely result of McGaugh et. al. 2016 which showed a universal nature found in the centripetal accelerations of spiral galaxies. At the time of the conference, the McGaugh result was only published for two weeks. Since then, the result has become known as the Radial Acceleration Relation (RAR) and has been considered tantamount to a natural law. In this work, we summarize how conformal gravity can explain the Radial Acceleration Rule in a fashion consistent with the findings of the original authors without the need for dark matter.

Figures28

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Tables4

Table 1. Table 1: This is sample table caption.

col1 head	col2 head	col3 head	col4 head	col5 head
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col1 text	col2 text	col3 text	$12.34$	col5 text\tnote1
col1 text	col2 text	col3 text	$1.62$	col5 text\tnote2
col1 text	col2 text	col3 text	$51.809$	col5 text

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	col2 text	col3 text	$0.7568$	$1.0530$	$1.2642$	$0.9919$	$1.3541$	$1.6108$
		col2 text	$12.5701$	$19.6603$	$25.6809$	$18.0689$	$28.4865$	$37.3011$
3	col2 text	col3 text	$0.7426$	$1.0393$	$1.2507$	$0.9095$	$1.2524$	$1.4958$
		col3 text	$12.8008$	$19.9620$	$26.0324$	$16.6347$	$26.0843$	$34.0765$
	col2 text	col3 text	$0.7285$	$1.0257$	$1.2374$	$0.8195$	$1.1407$	$1.3691 \tnote *$
		col3 text	$13.0360$	$20.2690$	$26.3895$	$15.0812$	$23.4932$	$30.6060 \tnote †$

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AUTHOR ONE et al

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Williams K

B. Hoskins

R. Lee

G. Masato

T. Woollings

(26 April 2016; 6 June 2016; 6 June 2016)

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[TABLE]

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2.1 Example for second level head

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Below is the example Power \BOthers. (\APACyear1975) for bulleted list. Below is the example for bulleted list. Below is the example for bulleted list. Below is the example for bulleted list.111This is an example for footnote.:

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4 Examples for enunciations

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Proposition 4.2.

Example proposition text. Example proposition text. Example proposition text. Example proposition text. Example proposition text. Example proposition text.

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Definition 4.3 (Definition sub head).

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Proof 4.4.

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Proof 4.5 (Proof of Theorem 4.1).

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5 Conclusions

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Acknowledgments

This is acknowledgment text Power \BOthers. (\APACyear1975). Provide text here. This is acknowledgment text. Provide text here. This is acknowledgment text. Provide text here. This is acknowledgment text. Provide text here.

This work was performed under the auspices of the \fundingAgencyNational Nuclear Security Administration of the US Department of Energy at Los Alamos National Laboratory under Contract No. \fundingNumberDE-AC52-06NA25396 and supported. The authors acknowledge the partial support of the \fundingAgencyDOE Office of Science ASCR Program under Contract No. \fundingNumberSJS-AC52-06NA25968. This work was partially supported by the \fundingAgencyCzech Technical University grant \fundingNumberSGS16/247/OHK4/3T/14, the \fundingAgencyCzech Science Foundation project \fundingNumber14-21318S and by the \fundingAgencyCzech Ministry of Education project \fundingNumberRVO 68407700.

Author contributions

This is an author contribution text. This is an author contribution text. This is an author contribution text.

Financial disclosure

None reported.

Conflict of interest

The authors declare no potential conflict of interests.

Supporting information

The following supporting information is available as part of the online article:

Figure S1. 500\unshPa geopotential anomalies for GC2C calculated against the ERA Interim reanalysis. The period is 1989–2008.

Figure S2. The SST anomalies for GC2C calculated against the observations (OIsst).

Appendix A Section title of first appendix

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A.1 Subsection title of first appendix

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Unnumbered figure

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Appendix B Section title of second appendix

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B.1 Subsection title of second appendix

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B.1.1 Subsection title of second appendix

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Example for an equation inside appendix

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Appendix C Example of another appendix section

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[TABLE]

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[TABLE]

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Author Biography

(if applicable)

{biography}

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Bibliography8

The reference list from the paper itself. Each links out to its DOI / PubMed record.

1Bettonvil \B Others . ( \APA Cyear 2003) \APA Cinsertmetastar Bettonvil 2003 {APA Crefauthors} Bettonvil, F \BPBI C., Sutterlin, P., Hammerschlag, R \BPBI H., Rutten, R \BPBI J. \BCBL \BBA Stix, M. \APA Cref Year Month Day 2003, \BBOQ \APA Crefatitle Proc. SPIE Conf. Ser. Proc. SPIE Conf. Ser. \BBCQ \B In \BVOL 4853, \BPG 306. \Print Back Refs \Current Bib
2Bland-Hawthorn \B Others . ( \APA Cyear 2001) \APA Cinsertmetastar Bland 2001 {APA Crefauthors} Bland-Hawthorn, J., van Breugel, W. \BCBL \BBA Gillingham, P \BPBI R. \APA Cref Year Month Day 2001, \APA Cjournal Vol Num Pages Ap J 563611. \Print Back Refs \Current Bib
3Kosugi \BBA Gillingham ( \APA Cyear 2007) \APA Cinsertmetastar Kosugi 2007 {APA Crefauthors} Kosugi, T. \BCBT \BBA Gillingham, R \BPBI H. \APA Cref Year Month Day 2007, \APA Cjournal Vol Num Pages Sol. Phys.2433. \Print Back Refs \Current Bib
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TL;DR

Contribution

Findings

Abstract

Peer Reviews

Videos

This is the sample article title††thanks: This is an example for title footnote.

Abstract

keywords:

1 Sample for first level head

2 Sample for another first level head

2.1 Example for second level head

3 Sample for next first level head

3.1 Example for another second level head

3.2 Second level head text

3.2.1 Third level head text

Example of Boxtext

Fourth level head text

Fifth level head text

4 Examples for enunciations

Theorem 4.1** (Theorem subhead).**

Proposition 4.2**.**

Definition 4.3** (Definition sub head).**

Proof 4.4**.**

Proof 4.5** (Proof of Theorem 4.1).**

5 Conclusions

Acknowledgments

Author contributions

Financial disclosure

Conflict of interest

Supporting information

Appendix A Section title of first appendix

A.1 Subsection title of first appendix

A.1.1 Subsection title of first appendix

Appendix B Section title of second appendix

B.1 Subsection title of second appendix

B.1.1 Subsection title of second appendix

Appendix C Example of another appendix section

Author Biography

Theorem 4.1 (Theorem subhead).

Proposition 4.2.

Definition 4.3 (Definition sub head).

Proof 4.4.

Proof 4.5 (Proof of Theorem 4.1).