Authors: J. Bar-Sagi
The electromagnetic wave quantum-energy depends only on its frequency, not on the emitting system's radiation power. The proportionality constant between the frequency and the quantumenergy of the electromagnetic wave, the Planck's constant is in the essence of quantum mechanics. This constant is known experimentally but till now there was no clue for calculating its value on a theoretical basis. In the present work a methodology for calculating a lower bound for Planck's constant is presented, based on simple principles. In order to get a reasonable good lower bound it is necessary to have a model of a relativistic oscillator whose period is independent of its energy and which efficiently radiates electromagnetic energy. It is highly desired that the mathematics involved is simple enough to enable good insight into the results. Such a model can also be used for other investigations, and therefore, in this work a potential that conserves the vibration period of symmetric oscillators at relativistic velocities is found and analyzed. The electrically charged system of constant period is used to calculate a lower bound Hm of the Planck's constant h . The value of Hm is smaller than h by a factor very close to √3 . The explanation of this factor also explains the value of Planck's constant. From this value the fine structure constant value is calculated and a new interpretation of this constant obtained.
Comments: 15 pages
[v1] 14 Jul 2010
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