The Machian Origin of the Centrifugal Force


A derivation of the centrifugal force from an effective vector formulation of gravitation is attempted. The centrifugal force appears to be due to a relativistic effect of the counter-rotating Universe. Gravitomagnetic energy effects, a mil-lion times stronger than the self-energy effects responsible for curvature in the GR language, would thus produce the centrifugal acceleration. The Machian picture, already successful in the case of the Coriolis force, gets an additional circumstantial support.

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Barattini, L. and Christillin, P. (2012) The Machian Origin of the Centrifugal Force. Journal of Modern Physics, 3, 1298-1300. doi: 10.4236/jmp.2012.329167.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] B. De Motu, “Berkeley’s Philosophical Writings,” Collier, New York, 1974.
[2] E. Mach, “Space and Geometry,” Open Court Publishing, Chicago, 1906.
[3] D. W. Sciama, “The Unity of the Universe,” Faber and Faber, London, 1959.
[4] P. Christillin and L. Barattini, “The Machian Contribution of the Universe to Geodetic Precession, Frame Dragging and Gravitational Clock Effect,” arXiv:1206.4593v1 [physics.gen-ph], 2012.
[5] L. I. Schiff, “Motion of a Gyroscope According to Einstein’s Theory,” Proceedings of the National Academy of Sciences, Vol. 46, 1960, pp. 871-882. doi:10.1073/pnas.46.6.871
[6] H. Lichtenegger and B. Mashoon, “Mach’s Principle,” arXiv:physics/0407078 [physics.hist-ph].
[7] P. Christillin and L. Barattini, “Gravitomagnetic Forces and Quadrupole Gravitational Radiation from Special Relativity,” arXiv:1205.3514v1, 2012.
[8] D. J. Griffiths, “Introduction to Electrodynamics,” Pearson, San Francisco, 2008, p. 234
[9] P. Christillin, “Spooky Black Holes: Gravitational Self-Energy and Space Curvature,” EPJ Plus, Vol. 126, 2011, p. 48.
[10] P. Christillin, “Speakable and Unspeakable in Cosmology: Dark Matter vs. Gravitational Self-Energies. Hubble’s Constant the Cosmological Term and All That,” EPJ Plus, Vol. 126, 2011, p. 88.
[11] R. P. Lano “Gravitational Meissner Effect,” 1996. arXiv:hep-th/9603077
[12] D. Bedford and P. Krumm, “On Relativistic Gravitation,” American Journal of Physic, Vol. 53, No. 9, 1985, p. 889. doi:10.1119/1.14358
[13] H. Kolbenstvedt, “Gravomagnetism in Special Relativity,” American Journal of Physics, Vol. 56, No. 6, 1988, p. 523. doi:10.1119/1.15544
[14] B. Mashhoon, et al., “Gravitomagnetism and the Clock Effect,” arXiv:gr-qc/991202, 1999.
[15] M. Agop et al., “On Gravitational Shielding in Electromagnetic Fields,” arXiv:gr-qc/9911011.
[16] R. P. Feynman, “Lectures on Gravitation,” Penguin Books, London, p. 40

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