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The entropy origin of the stiffenss of spacetime has recently been emphasized by E.P. Verlinde (arXiv:1001.0785). It has previously been used to generate the stiffness of strings
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The entropy origin of the stiffenss of spacetime has recently been emphasized by E.P. Verlinde (arXiv:1001.0785). It has previously been used to generate the stiffness of strings
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0040800486
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Dynamical Generation of String Tension and Stiffness
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H. Kleinert, Dynamical Generation of String Tension and Stiffness, Phys. Lett. B 211, 151 (1988)
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Phys., Lett. A
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Membrane Stiffness from v. d. Waals forces, This is of course just another formulation of good-old Sakharov's idea.
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Membrane Stiffness from v.d. Waals forces, Phys. Lett. A 136, 253 (1989). This is of course just another formulation of good-old Sakharov's idea.
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0001856269
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See [Soviet Physics-Doklady 12, 1040 (1968)]
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See also
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See also H.J. Schmidt, Gen. Rel. Grav. 32, 361 (2000) (www.springerlink.com/content/t51570769p12 3410/fulltext.pdf).
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78449290546
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eds. R. Balian et al., North-Holland, Amsterdam
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E. Kröner, in The Physics of Defects, eds. R. Balian et al., North-Holland, Amsterdam, 1981, p. 264.
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Kröner, E.1
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78449274075
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See einstein.stanford.edu
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See einstein.stanford.edu.
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78449312960
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We ignore here the second elastic constant since it is irrelevant to the argument
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We ignore here the second elastic constant since it is irrelevant to the argument
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84967360407
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See Chapter 15 in Statistics, Polymer Physics, and Financial Markets, World Scientific, Singapore, 2009
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See Chapter 15 in H. Kleinert, Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets, World Scientific, Singapore, 2009 (www.physik.fu-berlin.de/~kleinert/b5).
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Path Integrals in Quantum Mechanics
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0000410614
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B.A. Bilby, R. Bullough, and E. Smith, Proc. Roy. Soc. London, A 231, 263 (1955)
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Tokyo 1952 publ. in RAAG Memoirs of the Unified Study of Basic Problems in Engineering and Science by Means of Geometry, 148, ed. K. Kondo, Gakujutsu Bunken Fukyu-Kai
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K. Kondo, in Proceedings of the II Japan National Congress on Applied Mechanics, Tokyo, 1952, publ. in RAAG Memoirs of the Unified Study of Basic Problems in Engineering and Science by Means of Geometry, Vol. 3, 148, ed. K. Kondo, Gakujutsu Bunken Fukyu-Kai, 1962.
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78449281814
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The new freedom brought about by multivalued gauge transformations in many areas of physics is explained in the textbook [9]. For instance, we can derive the physical laws with magnetism from those without it, in particlular the minimal coupling law. Similarly, we can derive the physical laws in curved space from those in flat space
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The new freedom brought about by multivalued gauge transformations in many areas of physics is explained in the textbook [9]. For instance, we can derive the physical laws with magnetism from those without it, in particlular the minimal coupling law. Similarly, we can derive the physical laws in curved space from those in flat space.
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33
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49749209713
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For more details see Sect. 17.7 in the textbook [9]
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F.J. Belinfante, Physica 6, 887 (1939). For more details see Sect. 17.7 in the textbook [9].
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Belinfante, F.J.1
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See p. 1453 in Ref. [8]
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See p. 1453 in Ref. [8] (physik.fu-berlin.de/~kleinert/b1/gifs/v1-1453s.html).
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