De Mees, Thierry
Quantum Theory / Particle Physics
February 12, 2017
Gravitomagnetism, Heaviside, Jefimenko, Planck length, neutrino, graviton
The analogy of electromagnetism for gravity was proposed by O. Heaviside in 1893 and applied by O. Jefimenko at the end of last millennium. In one intriguing example of two falling masses in a gravity field, he found that the two masses are mutually over-accelerating, more than the gravity acceleration field. I find here the result of his example in the form of a relativistic equation of velocity stabilization in that gravity field, related to the distance of the two masses. When I look for the conditions for the upper limit velocity, the speed of light, I deduce that the distance between the two masses at that relativistic speed equals the Planck length. Hence, this gives the first physical meaning of Planck length in a practical application, i.e. that very small particles such as gravitons and neutrinos with a rest mass can propagate in a gravity field at the speed of light without being just a wave that is propagated by the specific natural constants of a medium.
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