Mathematical Physics

   

Integrated Formulas of the Fine-Structure Constant and Feigenbaum Constants

Authors: Gang Chen, Tianman Chen, Tianyi Chen

This paper is a subsequent paper to the previous paper “Formulas of Feigenbaum Constants and Their Physical Meanings” (viXra:2101.0187). In the previous paper, some formulas of Feigenbaum constants in fractional number format were given and the physical meanings of the factors in the formulas were exhibited, especially their relationships with nuclides, the fine-structure constant and 2π. In the previous paper, some integrated formulas of the fine-structure constant, Feigenbaum constants and 2π were also given, briefly denoted as α1δ2(2π)≈1, and their relationships with nuclides were illustrated. In this paper, some formulas for α1δ2(2π)≈1 are supplemented, some formulas for α2(δα)2≈1, [α1(2π)]/(α2α2)≈1 and (2π)/α2≈1 are given, some formulas of the fine-structure constant (α1 and α2) based on the key number 103 instead of 112, 173, 137, 83 and 29 are supplemented. In the end, by introducing correction factors γ1, γ2 and γ, accurate formulas α1(δ/γ1)2(2π)=1, α2(δα/γ2)2=1 and 2π/(αγ)2=1 are gained.

Comments: 24 Pages.

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Submission history

[v1] 2021-02-26 10:19:28
[v2] 2021-03-04 10:20:33
[v3] 2021-03-13 01:42:40
[v4] 2021-04-06 10:54:41

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