Abstract
If the universe had been born in a high entropy, equilibrium state, there would be no stars, no planets and no life. Thus, the initial low entropy of the universe is the fundamental reason why we are here. However, we have a poor understanding of why the initial entropy was low and of the relationship between gravity and entropy. We are also struggling with how to meaningfully define the maximum entropy of the universe. This is important because the entropy gap between the maximum entropy of the universe and the actual entropy of the universe is a measure of the free energy left in the universe to drive all processes. I review these entropic issues and the entropy budget of the universe. I argue that the low initial entropy of the universe could be the result of the inflationary origin of matter from unclumpable false vacuum energy. The entropy of massive black holes dominates the entropy budget of the universe. The entropy of a black hole is proportional to the square of its mass. Therefore, determining whether the Maximum Entropy Production Principle (MaxEP) applies to the entropy of the universe is equivalent to determining whether the accretion disks around black holes are maximally efficient at dumping mass onto the central black hole. In an attempt to make this question more precise, I review the magnetic angular momentum transport mechanisms of accretion disks that are responsible for increasing the masses of black holes
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Lineweaver, C.H., Egan, C.: Life, gravity and the second law of thermodynamics. Phys. Life Rev. 5, 225–242 (2008)
Niven, R.K.: Minimization of a free-energy-like potential for non-equilibrium flow systems at steady state. Phil. Trans. R. Soc. B. 365, 1323–1331 (2010). (Chap. 7, this volume)
Kleidon, A.: Life, hierarchy and the thermodynamics machinery of planet Earth. Phys. Life Rev. (2010). doi:10.1016/j.plrev.2010.10.002
Hogg, D.W., et al.: Cosmic homgeneity demonstrated with luminous red galaxies. ApJ 624, 54–58 (2005)
Egan, C., Lineweaver, C.H.: A larger entropy of the universe. Astrophys. J. 710, 1825–1834 (2010)
Kolb, E.W., Turner, M.S.: The early universe. Addison-Wesley, New York (1990)
Bekenstein, J.S.: Generalized second law of thermodynamics in black-hole physics. Phys. Re. D 9, 3292 (1974)
Hawking, S.W.: Black holes and thermodynamics. Phys. Rev. D 13, 191 (1976)
Strominger, A., Vafa, C.: Microscopic origin of the Bekenstein-Hawking entropy. Phys. Lett. B. 379, 99 (1996)
Basu, B., Lynden-Bell, D.: A survey of entropy in the universe. QJRAS. 31, 359 (1990)
Smoot, G.F., et al.: Structure in the COBE differential microwave radiometer first-year maps. Astrophys. J. 396, L1–L5 (1992)
Jarosik, N., et al.: Seven-year Wilkinson microwave anisotropy probe (WMAP) observations: sky maps, systematic errors, and basic results. ApJS 192, 14 (2011)
Lineweaver, C.H.: A simple treatment of complexity: cosmological entropic boundary conditions on increasing complexity. In: Edt Lineweaver, C.H., Davies, P.C.W., Ruse, M. (eds.) Complexity and the Arrow of Time, Cambridge University Press, pp. 42–67 (2013)
Penrose R.: The big bang and its thermodynamic legacy. In: Road to Reality: A Complete Guide to the Laws of the Universe, pp. 686–734 [Chapter 27]. Vintage Books, London (2004). Plot used in Fig. 1, panel c, from Thomas, A. (2009). http://www.ipod.org.uk/reality/reality_arrow_of_time.asp
Guth, A.H.: The Inflationary Universe. Jonathan Cape, London (1997)
Carroll, S.M.: From Eternity to Here: The Quest for the Ultimate Theory of Time. Dutton, Penguin, New York (2010)
Gron, O., Hervik, S.: Gravitational entropy and quantum cosmology. Class. Quantum Grav. 18, 601–618 (2001)
Gron, O., Hervik, S. The Weyl Curvature Conjecture, arXiv:gr-qc/0205026v1. (2002)
Amarzguioui, M., Gron, O.: Entropy of gravitationally collapsing matter in FRW universe models. Phys. Rev. D 71, 083011 (2005)
Tegmark, M.: The Second Law and Cosmology, arXiv 0904.3931v1, see video and slides at http://mitworld.mit.edu/watch/the-second-law-and-cosmology-9279/. (2009)
Sagan, C.: Cosmos (1980)
Feynman, R.: Feynman Lectures, vol. I (46-8, -9) (1969)
Davis, T.M., Lineweaver, C.H.: Expanding Confusion: Common Misconceptions of Cosmological Horizons and the Superluminal Expansion of the Universe. Pub. Astron. Soc. Aust. 21, 97–109 (2004). See Fig. 1
Jaynes, E.T.: Macroscopic prediction in computer systems—operational approaches. In: Haken, H. (ed.) Neurobiology, Physics and Computers, pp. 254–269. Springer, Berlin (1985), Eq. 5
Evans, D.J., Searles, D.J.: Equilibrium microstates which generate second law violating steady states. Phys. Rev. E 50(2), 1645–1648 (1994)
Shakura, N.I., Sunyaev, R.A.: Astron. Astrophys. 24, 337 (1973)
Pringle, J.E.: Accretion discs in astrophysics. Ann. Rev. Astron. Astrophys. 19, 137–162 (1981)
Blandford, R.D., Payne, D.G.: Hydrodynamic flows from accretion discs and the production of radio jets. MNRAS 199, 883–903 (1982)
Taylor, E.R., Wheeler, J.A.: Exploring Black Holes: Introduction to General Relativity. Addision Wesley Longman, San Franciso (2000). (Chaps. 4 and 5)
Cabrit, S.: The accretion-ejection connexion in T Tauri stars: jets models vs. observations. In: Bouvier, J., Appenzeller, I. (eds.) Star-Disk Interaction in Young Stars, Proceedings of the IAU Symposium No. 243 (2007)
Balbus, S.A., Hawley, J.F.: A powerful local shear instability in weakly magnetized disks. I linear analysis. ApJ. 376, 214–222 (1991)
Balbus, S.A., Hawley, J.F.: Instability, turbulence, and enhanced transport in accretion disks. Rev. Mod. Phys. 70(1), 1–53 (1998)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Lineweaver, C.H. (2014). The Entropy of the Universe and the Maximum Entropy Production Principle. In: Dewar, R., Lineweaver, C., Niven, R., Regenauer-Lieb, K. (eds) Beyond the Second Law. Understanding Complex Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40154-1_22
Download citation
DOI: https://doi.org/10.1007/978-3-642-40154-1_22
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-40153-4
Online ISBN: 978-3-642-40154-1
eBook Packages: EngineeringEngineering (R0)