تقرير
The origin of MOND acceleration and deep-MOND from acceleration fluctuation and energy cascade in dark matter flow
| العنوان: | The origin of MOND acceleration and deep-MOND from acceleration fluctuation and energy cascade in dark matter flow |
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| المؤلفون: | Xu, Zhijie (Jay) |
| سنة النشر: | 2022 |
| المجموعة: | Zenodo |
| مصطلحات موضوعية: | cosmology, dark matter, turbulence, simulation, astronomy, astrophysics, dark matter halo, correlation, statistical analysis, self-gravitating, collisionless, N body, MOND, critical acceleration, modified Newtonian dynamics, deep MOND, mass and energy cascade, acceleration fluctuation, dark energy |
| الوصف: | The origin of MOND acceleration and deep-MOND from acceleration fluctuation and energy cascade in dark matter flow MOND is an empirically motivated theory using modified gravity to reproduce many astronomical observations without invoking the dark matter hypothesis. Instead of falsifying the existence of dark matter, we propose that MOND is an effective theory naturally emerging from the long-range interaction and collisionless nature of dark matter flow. It describes the dynamics of baryonic mass suspended in fluctuating dark matter fluid. To maximize system entropy, the long-range interaction requires a broad size of halos to be formed. These halos facilitate an inverse mass and energy cascade from small to large mass scales with a constant rate of energy cascade \(\varepsilon _{u} \approx -4.6\times 10^{-7} {m^{2} /s^{3}}\). In addition to velocity fluctuation with a typical scale \(u\), the long-range interaction leads to a fluctuation in acceleration with a typical scale \(a_{0}\). The velocity and acceleration fluctuations in dark matter flow satisfy \(\varepsilon _{u} =-{a_{0}u/(3\pi) ^{2}}\) that determines \(a_0\), where factor \(3\pi\) is from the angle of incidence. With \(u_{0} \equiv u(z=0)\approx 354.61{km/s}\) from N-body simulation, the value of \(a_{0} \left(z=0\right)\approx 1.2\times 10^{-10} {m/s^{2}}\) can be easily obtained and \(a_0 \propto t^{-1/2}\). While Planck constant \(\hbar\), gravitational constant \(G\), and \(\varepsilon_{u}\) are proposed to find the dark matter particle properties on the smallest scale, the velocity scale \(u\), \(G\), and \(\varepsilon_{u}\) determine the halo properties on the largest scale. For a given particle velocity \(v_{p}\), maximum entropy distributions developed for dark matter flow lead to a particle kinetic energy \(\varepsilon _{k} \propto v_{p}\) at small acceleration \(a a_{0}\). Combining this with the constant rate of energy cascade \(\varepsilon _{u}\), both Newtonian dynamics and "deep-MOND" behavior can be fully recovered. A notable ... |
| نوع الوثيقة: | report |
| اللغة: | English |
| العلاقة: | handle:110.48550/arXiv.2202.00910; https://zenodo.org/record/6640386Test; https://doi.org/10.48550/arXiv.2203.05606Test; oai:zenodo.org:6640386 |
| DOI: | 10.48550/arXiv.2203.05606 |
| الإتاحة: | https://doi.org/10.48550/arXiv.2203.05606Test https://doi.org/10.5281/zenodo.6569901Test https://doi.org/10.5281/zenodo.6569898Test https://doi.org/10.5281/zenodo.6541230Test https://doi.org/10.5281/zenodo.6586212Test https://doi.org/10.48550/arXiv.2109.12244Test https://doi.org/10.48550/arXiv.2110.03126Test https://doi.org/10.48550/arXiv.2110.05784Test https://doi.org/10.48550/arXiv.2110.09676Test https://doi.org/10.48550/arXiv.2110.13885Test |
| حقوق: | info:eu-repo/semantics/openAccess ; https://creativecommons.org/licenses/by/4.0/legalcodeTest |
| رقم الانضمام: | edsbas.1341E196 |
| قاعدة البيانات: | BASE |
| DOI: | 10.48550/arXiv.2203.05606 |
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