Abstract
In this paper, by using the holographic principle, a modified equipartition theorem where we assume that below a critical temperature the energy is not equally divided on all bits, and the Unruh temperature, we derive MOND theory and a modified Friedmann equation compatible with MOND theory. Furthermore, we rederive a modified Newton’s law of gravitation by employing an adequate redefinition of the numbers of bits.
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References
Bekenstein, J.D.: Phys. Rev. D 7, 2333 (1973)
Hawking, S.W.: Commun. Math. Phys. 43, 199 (1975)
Unruh, W.G.: Phys. Rev. D 14, 870 (1976)
Verlinde, E.: arXiv:1001.0785 [hep-th]
Jacobson, T.: Phys. Rev. Lett. 75, 1260 (1995)
Padmanabhan, T.: Class. Quantum Gravity 21, 4485 (2004)
Padmanabhan, T.: Mod. Phys. Lett. A 25, 1129 (2010)
Botta Cantcheff, M.: arXiv:hep-th/0408151
Banerjee, R., Majhi, B.R.: Phys. Rev. D 81, 124006 (2010)
Gao, C.: Phys. Rev. D 81, 087306 (2010)
Kittel, C.: Introduction to Solid State Physics, 8th edn. Wiley, New York (2004)
Li, X., Chang, Z.: arXiv:1005.1169 [hep-th]
Milgrom, M.: Astrophys. J. 270, 365 (1983)
Milgrom, M.: Astrophys. J. 270, 371 (1983)
Milgrom, M.: Astrophys. J. 270, 384 (1983)
Modesto, L., Randono, A.: arXiv:1003.1998 [hep-th]
Kiselev, V.V., Timofeev, S.A.: Mod. Phys. Lett. A26, 109 (2011)
Sheykhi, A.: Phys. Rev. D 81, 104011 (2010)
Tully, R.B., Fisher, J.R.: Astron. Astrophys. 54, 661 (1977)
Skordis, C.: Class. Quantum Gravity 26, 143001 (2009)
Nusser, A., Pointecouteau, E.: Mon. Not. R. Astron. Soc. 366, 969 (2006)
Famaey, B., Gentile, G., Bruneton, J.P.: Phys. Rev. D 75, 063002 (2007)
Zhao, H.S., Famaey, B.: Astrophys. J. 638, L9 (2006)
Huang, K.: Statistical Mechanics, 2nd edn. Wiley, New York (1987)
Reichl, L.E.: A Modern Course in Statistical Physics, 2nd edn. Wiley, New York (1998)
Cai, R.G., Cao, L.M., Ohta, N.: Phys. Rev. D 81, 061501(R) (2010)
Padmanabhan, T.: arXiv:1001.3380 [gr-qc]
Shu, F.W., Gong, Y.: arXiv:1001.3237 [gr-qc]
Bekenstein, J.D.: Phys. Rev. D 70, 083509 (2004)
Bekenstein, J.D.: Phys. Rev. D 71, 069901 (2005) Erratum-ibid
Sanders, R.H.: Mon. Not. R. Astron. Soc. 296, 1009 (1998)
Hawking, S.: J. Math. Phys. 9, 598 (1968)
Hayward, S.A.: Phys. Rev. D 49, 831 (1994)
Cai, R.G., Cao, L.M., Hu, Y.-P., Ohta, N.: Phys. Rev. D 80, 104016 (2009)
Liu, B., Dai, Y.C., Hu, X.R., Deng, J.B.: arXiv:1010.3429 [hep-th]
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Neto, J.A. Nonhomogeneous Cooling, Entropic Gravity and MOND Theory. Int J Theor Phys 50, 3552–3559 (2011). https://doi.org/10.1007/s10773-011-0863-2
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DOI: https://doi.org/10.1007/s10773-011-0863-2