Abstract
The field equations of general relativity are shown to derive from a limit to force or to power in nature. The limits have the value of c4/4G and c5/4G. The proof makes use of a result of Jacobson. All known experimental data are consistent with the limits. Applied to the universe, the limits predict its darkness at night and the observed scale factor. Other experimental tests of the limits are proposed. The main counterarguments and paradoxes are discussed, such as the transformation under boosts, the force felt at a black hole horizon, the mountain problem, and the contrast to scalar–tensor theories of gravitation. The resolution of the paradoxes also clarifies why the maximum force and the maximum power have remained hidden for so long. The derivation of the field equations shows that the maximum force or power plays the same role for general relativity as the maximum speed plays for special relativity.
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References
D'Inverno, R. (1992). Introducing Einstein's Relativity, Clarendon, Oxford, p. 36.
Gibbons, G. W. (2002). The maximum tension principle in general relativity. Foundations of Physics 32, 1891–1901.
Jacobson, T. (1995). Thermodynamics of spacetime: The Einstein equation of state. Physical Review Letters 75, 1260–1263.
Ohanian, H. C. and Ruffini, R. (1994). Gravitation and Spacetime, W. W. Norton, New York.
Rindler, W. (2001). Relativity, Special, General, and Cosmological, Oxford University Press, Oxford, p. 70.
Schiller, C. (1997–2004). Motion Mountain—A Hike Beyond Space and Time Along the Concepts of Modern Physics, available at (http://www.motionmountain.net), Section 7: Maximum Force— A Simple Principle Encompassing General Relativity.
Schiller, C. (1997–2004). Motion Mountain—A Hike Beyond Space and Time Along the Concepts of Modern Physics, available at (http://www.motionmountain.net), Section 36: Maximum Force and Minimum Distance—Physics in Limit Statements.
Wald, R. M. (1993). The first law of black hole mechanics. In Directions in General Relativity, B. L. Hu, M. P. Ryan, and C. V. Vishveshwara, Proceedings of the 1993 International Symposium, Maryland: Papers in Honor of Charles Misner, Cambridge University Press, Cambridge.
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Schiller, C. General Relativity and Cosmology Derived From Principle of Maximum Power or Force. Int J Theor Phys 44, 1629–1647 (2005). https://doi.org/10.1007/s10773-005-4835-2
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DOI: https://doi.org/10.1007/s10773-005-4835-2