Topic
Four-force
About: Four-force is a research topic. Over the lifetime, 3459 publications have been published within this topic receiving 87308 citations.
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TL;DR: The field equations of general relativity are derived from a limit to force or to power in nature as mentioned in this paper, and the limits have the value of c4/4G and c5/ 4G.
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.
51 citations
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TL;DR: In this article, several quantum mechanical wave equations for p-branes are proposed, which determine the quantum dynamics involving the creation/destruction of p-dimensional loops of topology Sp, moving in a D-dimensional spacetime background.
Abstract: This report is an extension of a previous one hep-th/9812189. Several quantum mechanical wave equations for p-branes are proposed. The most relevant p-brane quantum mechanical wave equations determine the quantum dynamics involving the creation/destruction of p-dimensional loops of topology Sp, moving in a D-dimensional spacetime background, in the quantum state Φ. To implement full covariance we are forced to enlarge the ordinary relativity principle to a new relativity principle, suggested earlier by the author based on the construction of C-space, and also by Pezzaglia's poly-dimensional relativity, where all dimensions and signatures of spacetime should be included on the same footing.
50 citations
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50 citations
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TL;DR: In this paper, it was shown that Euclid's construction of the golden rectangle can be used to derive both the dilation of time intervals and the Lorentz contraction of lengths as predicted by Einstein's theory of special relativity.
Abstract: In this note we show that Euclid’s construction of the golden rectangle can be used to derive both the dilation of time intervals and the Lorentz contraction of lengths as predicted by Einstein’s theory of special relativity. In this simple exercise, the Lorentz factor arises as a direct consequence of the Pythagorean theorem, while the golden ratio , ϕ = 1 + 5 / 2 , is found to govern the transition from Newton’s physics to relativistic mechanics.
50 citations
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50 citations