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Four-force

About: Four-force is a research topic. Over the lifetime, 3459 publications have been published within this topic receiving 87308 citations.


Papers
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Journal ArticleDOI
TL;DR: In this paper, the authors show how a Brownian motion on a short scale can originate a relativistic motion on scales that are larger than particle's Compton wavelength, which can be described in terms of polycrystalline vacuum.
Abstract: Building on our previous work [Phys.Rev.D82,085016(2010)], we show in this paper how a Brownian motion on a short scale can originate a relativistic motion on scales that are larger than particle's Compton wavelength. This can be described in terms of polycrystalline vacuum. Viewed in this way, special relativity is not a primitive concept, but rather it statistically emerges when a coarse graining average over distances of order, or longer than the Compton wavelength is taken. By analyzing the robustness of such a special relativity under small variations in the polycrystalline grain-size distribution we naturally arrive at the notion of doubly-special relativistic dynamics. In this way, a previously unsuspected, common statistical origin of the two frameworks is brought to light. Salient issues such as the role of gauge fixing in emergent relativity, generalized commutation relations, Hausdorff dimensions of representative path-integral trajectories and a connection with Feynman chessboard model are also discussed.

32 citations

Book
01 Jan 1972
TL;DR: The experimental background of the theory of special Relativity Relativistic Kinematics and its relation to the quantum theory of the atom is discussed in this article. But the main focus of this paper is on the uncertainty principle.
Abstract: The Experimental Background of the Theory of Special Relativity Relativistic Kinematics Relativistic Dynamics The Quantization of Energy The Particle Nature of Radiation The Wave Nature of Matter and the Uncertainty Principle Early Quantum Theory of the Atom Supplementary Topics Appendix Answers to Problems Index.

32 citations

Journal ArticleDOI
TL;DR: There is a one-to-one correspondence between Snyder's model in de Sitter space of momenta and the dS-invariant special relativity as well as a minimum uncertainty-like relation.
Abstract: There is a one-to-one correspondence between Snyder’s model in de Sitter space of momenta and the dS-invariant special relativity as well as a minimum uncertainty-like relation. This indicates that physics at the Planck length l P and the scale R = (3/Λ)1/2 should be dual to each other and there is in-between gravity of local dS-invariance characterized by a dimensionless coupling constant g = l P /R ∼ 10−61.

31 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
20239
202211
20208
20193
20185
201756