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Derivation of the Planck and Fine-Structure Constant from Assis's Gravity Model

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Presently, Planck's constant is a fundamental constant that can not be derived from other constants. Assis developed a model based on an extended Weber-type potential energy, that allows calculating gravitational-type forces from neutral oscillating electric dipoles. Here we show that the maximum possible point-mass in his model equals the Planck mass which allows us to derive Planck's constant and the fine-structure constant. We match the exact order of magnitude only requiring a pre-factor that is present in all Weber-type theories and has to be determined empirically. This classical model allows to link electromagnetic, gravitational and quantum properties with one approach.
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Keywords: FINE-STRUCTURE CONSTANT; PLANCK CONSTANT; QUANTUM GRAVITY; UNIFIED FIELD THEORY; WEBER ELECTRODYNAMICS

Document Type: Research Article

Publication date: September 1, 2015

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  • Journal of Advanced Physics is an interdisciplinary peer-reviewed journal consolidating research activities in all experimental and theoretical aspects of advanced physics. The journal aims in publishing articles of novel and frontier physics that merit the attention and interest of the whole physics community. JAP publishes review articles, full research articles, short communications of important new scientific and technological findings in all latest research aspects of physics.
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