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74、Galaxy Rotational Dynamics and the Logical Inconsistency
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Preprint of CERN doi :10.5281/zenodo.20107252 or https://doi.org/10.5281/zenodo.20107252 My academic identifier: orcid id: 0009-0005-2185-5790. You may go to the official academic website to retrieve and view relevant research content. Readers may copy this number to search on the official zenodo website (search by English title or English keywords) to view the full English and Chinese pdf texts. Abstract Traditional galaxy rotational dynamics directly applies the Sun centric single center gravitational model of the solar system, ignoring the inverse square law of gravitational attenuation and the basic characteristics of the spatial mass distribution in galaxies. It incorrectly assumes that stars in the outer regions of galaxies are governed solely by the gravitational pull of the galactic core, and thus introduces “dark matter” to compensate for the theoretical gravitational deficit. This paper theoretically demonstrates that the mass of the solar system is highly concentrated, and gravitational interactions among planets are negligible, whereas galactic mass is diffusely distributed, so the gravitational effects of all matter in the galaxy cannot be ignored. Galactic rotation is maintained by the combination of short range chain gravity and universal gravitational superposition, with no theoretical need to introduce dark matter. The dark matter hypothesis suffers from internal logical inconsistencies and conflicts with established gravitational theory, arising essentially from theoretical bias due to oversimplified modeling. The outermost stars in a galaxy are mainly attracted by their immediately inner neighboring stars as the primary gravitational source; therefore, the speed of outer stars should not exceed that of their inner sources. They can move slightly slower or at nearly uniform speed, ensuring long term structural stability of the galaxy. This constraint also explains why galaxies exhibit spiral arm structures rather than rigidly rotating structures. Keywords: galaxy rotation curve; dark matter; inverse square law of gravity; global vortex; chain gravity; universal gravitational superposition 1. Introduction Observations show that the orbital speeds of stars in the outer disks of spiral galaxies do not decrease significantly with increasing distance from the center. Traditional theory extends the single center gravitational model of the solar system to galactic scales, leading to the conclusion of insufficient gravity and the proposal of the dark matter hypothesis, which claims that about 95% of the matter in the universe is invisible dark matter that interacts only through gravity. This approach is physically flawed: it neglects the rapid attenuation of gravity with the square of distance, overlooks the fundamental difference in mass distribution between the solar system and galaxies, and fails to account for the fact that all massive matter in a galaxy contributes to gravity. From the perspectives of force structure, mass distribution, geometric constraints, and gravitational superposition, this paper provides a theoretical reinterpretation of the galactic rotation mechanism and analyzes the logical problems of the dark matter hypothesis.  |
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