## Theoretical-Heuristic Derivation Sommerfeld's Fine Structure Constant by Feigenbaum's Constant (Delta): Perodic Logistic Maps of Double Bifurcation

**Authors:** Angel Garcés Doz

In an article recently published in Vixra: http://vixra.org/abs/1704.0365. Its author (Mario Hieb) conjectured the possible relationship of Feigenbaum's constant delta with the fine-structure constant of electromagnetism (Sommerfeld's Fine-Structure Constant). In this article it demonstrated, that indeed, there is an unequivocal physical-mathematical relationship. The logistic map of double bifurcation is a physical image of the random process of the creation-annihilation of virtual pairs lepton-antilepton with electric charge; Using virtual photons. The probability of emission or absorption of a photon by an electron is precisely the fine structure constant for zero momentum, that is to say: Sommerfeld's Fine-Structure Constant. This probability is coded as the surface of a sphere, or equivalently: four times the surface of a circle. The original, conjectured calculation of Mario Hieb is corrected or improved by the contribution of the entropies of the virtual pairs of leptons with electric charge: muon, tau and electron. Including a correction factor due to the contributions of virtual bosons W and Z; And its decay in electrically charged leptons and quarks.

**Comments:** 8 Pages. Added acknowledgments and references

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### Submission history

[v1] 2017-05-25 02:51:48

[v2] 2017-05-31 13:02:10

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