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Golden Section in Physics: an Interesting Number

Sarkadi Dezső

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Abstract

The physical constants play important role in physics. It is fact that the accuracy of the physical con-stants grows year by year. Special attention is paying to the dimensionless constants; the most familiars among them are the fine structure constant, the proton/electron mass-ratio, the cosmological constant of Einstein’s general relativity, the Weinberg angle in the electro-weak interaction theory, etc. The one of the most important questions is for a long time: are there any physical and/or mathematical relations between the fundamental physical constants. The paper gives a recently explored simple math relation between them. The precise theoretical explanation of this amazing finding need more detailed investigations related to the physical background. Keywords: physical constants, exponential relations between physical constants, Bode-Titius rule, mass formula of neutral-atoms, mass formula of leptons.

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What this paper is about

The physical constants play important role in physics. It is fact that the accuracy of the physical con-stants grows year by year. Special attention is paying to the dimensionless constants; the most familiars among them are the fine structure constant, the proton/electron mass-ratio, the cosmological constant of Einstein’s general relativity, the Weinberg angle in the electro-weak interaction theory, etc. The one of the most important questions is for a long time: are there any physical and/or mathematical relations between the fundamental physical constants. The paper gives a recently explored simple math relation between them. The precise theoretical explanation of this amazing finding need more detailed investigations related to the physical background. Keywords: physical constants, exponential relations between physical constants, Bode-Titius rule, mass formula of neutral-atoms, mass formula of leptons.

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Available abstract

The physical constants play important role in physics. It is fact that the accuracy of the physical con-stants grows year by year. Special attention is paying to the dimensionless constants; the most familiars among them are the fine structure constant, the proton/electron mass-ratio, the cosmological constant of Einstein’s general relativity, the Weinberg angle in the electro-weak interaction theory, etc. The one of the most important questions is for a long time: are there any physical and/or mathematical relations between the fundamental physical constants. The paper gives a recently explored simple math relation between them. The precise theoretical explanation of this amazing finding need more detailed investigations related to the physical background. Keywords: physical constants, exponential relations between physical constants, Bode-Titius rule, mass formula of neutral-atoms, mass formula of leptons.

Key concepts: Physical constant, Physics, Fine-structure constant, Dimensionless quantity, Theoretical physics, Section (typography), Constant (computer programming), Theory of relativity

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