Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed

Modified Gravity and Dark Matter

Version 1 : Received: 17 September 2021 / Approved: 17 September 2021 / Online: 17 September 2021 (15:41:25 CEST)
Version 2 : Received: 29 September 2021 / Approved: 29 September 2021 / Online: 29 September 2021 (16:11:32 CEST)

How to cite: Abbas, S.; Akhtar, N.; Alam, D. Modified Gravity and Dark Matter. Preprints 2021, 2021090319 (doi: 10.20944/preprints202109.0319.v2). Abbas, S.; Akhtar, N.; Alam, D. Modified Gravity and Dark Matter. Preprints 2021, 2021090319 (doi: 10.20944/preprints202109.0319.v2).

Abstract

At present there is a renewed interest in theories of ”modified” gravity. Here, under a more drastic modification enforced by Galilei group, we obtain a completely new gravitational structure, and which exists in addition to the already available general relativity of today. Correlated with this, we show that in addition, there is a new ”modified” quantum mechanics, in as much as it exists as an independent and new ”pure” non-relativistic quantum me- chanics, and which has no relativistic counterpart. This is in addition to the present quantum mechanics, where the relativistic and non-relativistic structures are counterparts of each other. The above holds, firstly due to the correlation between Galilei group and quantum mechanics. These math- ematical conclusions are consolidated by the fact that there exists a physical Majorana interaction between each neutron- proton pairs in nuclei. Galilei invariance of Majorana exchange in Majorana interaction, shows that the mass here is of pure gravitational nature, and which is immune to the other three forces. This makes an amazing connection between the gravitational force and the quantum mechanics. This pure gravitational mass would man- ifest itself as dark matter of the universe. It is our new modified gravity that generates the dark matter.

Keywords

Modified Gravity; quantum mechanics; Galilei group; exchange forces; Bargmann Superselection rule; neutron-proton Majorana interaction; Dark Matter

Comments (1)

Comment 1
Received: 29 September 2021
Commenter: Syed Abbas
Commenter's Conflict of Interests: Author
Comment: 1. Title changed 2. Abstarct: rewritten 3. Introduction: rewritten 4. Conclusio: rewritten
5. ALL the REST of the manuscript remains EXACTLY as the previous one.
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