The Rydberg Constant Interpreted as the Gaussian Curvature, Gauss-Bohr-de Broglie Model – Two Shadow Projections of the Helix, Unlocking of the Fixed Constant c of the Speed of Light – New Tests for Old Physics

Jiří Stávek
Additional contact information
Jiří Stávek: Independent researcher, Czech Republic

European Journal of Applied Physics, 2021, vol. 3, issue 2, 19-22

Abstract: We have newly interpreted the Rydberg constant R∞ as the Gaussian curvature – the ratio of the 4π electron spin rotation to the area on the Gauss – Bohr sphere travelled by that electron. Rydberg constant for hydrogen RH was newly derived and can be experimentally tested and compared with the value RH derived from the reduced mass. The de Broglie electron on the helical path embedded on the Gauss – Bohr sphere was projected as two shadows: the real shadow Re [cos(t)] and the imaginary shadow Im [i sin(t)]. This model differs from the Schrödinger famous quantum wave description in the physical interpretation. The wave amplitude is here interpreted as the distance of the shadow from the Gauss – Bohr sphere. Moreover, we have newly inserted into the wave equation curvature and torsion of that de Broglie helix. One very interesting result of this model is the estimation of the constant c of the speed of light with three additional significant figures. We have divided the very precise CODATA 2018 value for R∞ expressed in frequency and the CODATA 1986 value for R∞ expressed in wavenumber unit. Based on these precise spectroscopic data we might increase the accuracy of the constant c of the speed of light to twelve significant figures.

Keywords: The Rydberg constant – the Gaussian curvature; the Gauss – Bohr sphere; the Gauss – Bohr – de Broglie model; two shadows of the helix; the amplitude of shadows; curvature and torsion of de Broglie helix; unlocking of the fixed constant c of the speed of light; c with twelve significant figures (search for similar items in EconPapers)
Date: 2021
References: Add references at CitEc
Citations:

Downloads: (external link)
https://eu-opensci.org/index.php/ejphysics/article/view/11059 Abstract page (text/html)
https://eu-opensci.org/index.php/ejphysics/article/download/11059/1966 Full text (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:epw:physic:v:3:y:2021:i:2:id:11059

DOI: 10.24018/ejphysics.2021.3.2.59

Access Statistics for this article

More articles in European Journal of Applied Physics from European Open Science
Bibliographic data for series maintained by Support Team ().