Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed

# A Unified Electro-Gravity Theory to Model Spiral Galaxies without Dark Matter

Version 1 : Received: 30 October 2019 / Approved: 31 October 2019 / Online: 31 October 2019 (15:36:33 CET)
Version 2 : Received: 27 September 2020 / Approved: 27 September 2020 / Online: 27 September 2020 (10:41:40 CEST)

How to cite: Das, N.K. A Unified Electro-Gravity Theory to Model Spiral Galaxies without Dark Matter. Preprints 2019, 2019100375 (doi: 10.20944/preprints201910.0375.v2). Das, N.K. A Unified Electro-Gravity Theory to Model Spiral Galaxies without Dark Matter. Preprints 2019, 2019100375 (doi: 10.20944/preprints201910.0375.v2).

## Abstract

A unified electro-gravity (UEG) theory, which has been successfully used for modeling an elementary particle, is applied in this paper to model gravitation in spiral galaxies. The new UEG model would explain the "flat rotation curves'' commonly observed in the spiral galaxies, without need for any hypothetical dark matter. The UEG theory is implemented in a somewhat different manner for a spiral galaxy, as compared to the simple application of the UEG theory to an elementary particle. This is because the spiral galaxy, unlike the elementary particle, is not spherically symmetric. The UEG constant $\gamma$, required in the new model to support the galaxies' flat rotation speeds, is estimated using measured data from a galaxy survey, as well as for a selected galaxy for illustration. The estimates are compared with the $\gamma$ derived from the UEG model of an elementary particle. The UEG model for the galaxy is shown to explain the empirical Tully-Fisher Relationship (TFR), is consistent with the Modified Newtonian Dynamics (MOND), and is also independently supported by measured trends of galaxy thickness with surface brightness and rotation speed. The UEG theory may similarly be extended to emulate the hypothetical dark matter in galaxy clusters as well as in cosmology.

## Subject Areas

Unified Electro-Gravity (UEG) Theory; spiral galaxies; dark matter

Comment 1
Commenter: Nirod Das
Commenter's Conflict of Interests: Author
Comment: Revised with a new result/validation of the theory (Fig.4 in revised version).  Also added possible extension of the theory to model galaxy clusters (section VI in revised version).
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