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The Bohr Postulate, the De Broglie Condition and the Scale Principle

Rodolfo A. Frino

Published Jul 1, 2014• 6 citations
OpenAlex

Abstract

Earlier this year I wrote a paper entitled Scale Factors and the Scale Principle. In that paper I formulated a new law which describes nature at both quantum and cosmic scales. This article shows that both the Bohr postulate and the De Broglie condition are special cases of the abovementioned formulation.

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Earlier this year (May) I wrote a paper entitled Scale Factors and the Scale Principle. In this paper I formulated a new law which describes a number of fundamental quantum mechanical laws. Since then I found that other quantum mechanical laws including the Bohr postulate and the De Broglie wavelength formula also obey the scale principle. Later I proved that this new law also describes the formula for the Schwarzschild radius, the equation for Einstein’s relativistic energy and Newton’s law of universal gravitation. Now I discovered that the Schrodinger’s equation can also be explained in terms of the present formulation.
The technical problem in Feynman’s proposal to formulate quantum mechanics in terms of a sum over histories of a particle is that this sum over histories must be performed in imaginary time rather than in the real time that everyone experiences [1]. In this paper, for the derivation of Lorentz transformation from the postulates of Special theory of Relativity, the concept of De Broglie quantum waves is introduced which leads to the conclusions that the derivation of Lorentz transformation does not need the postulate of constancy of light speed in free space in case the postulate of phase coincidence of De Broglie quantum waves is introduced. Consequently, a new proposal is formulated that combines Quantum mechanics and the special theory of relativity and overcomes the technical problem in Feynman’s proposal.