scholarly journals Pythagorean numbers and the calculation of the masses of the elementary particles

2021 ◽  
Vol 34 (3) ◽  
pp. 322-330
Author(s):  
Borros Arneth
Keyword(s):  
Elementary Particle ◽  
Fine Structure ◽  
Binding Energy ◽  
Structure Constant ◽  
Elementary Particles ◽  
Binding Energies ◽  
Fine Structure Constant ◽  
Internal Mass ◽  
Pythagorean Numbers ◽  
The Masses

We attempt here to calculate the particle masses for all known elementary particles starting from the Rydberg equation and from the Sommerfeld fine structure constant. Remarkably, this is possible. Next, we try to explain why this is possible and what the meaning of the approach seems to be. Thereby, we find some interesting connections. In addition, we realize that there are two different kinds of mass-charge binding energies in an elementary particle: The internal mass-charge binding energy and the external mass-charge binding energy. These two kinds of mass-charge binding energies can explain the higher masses of the highly charged brother particles in some of the heavier particle triplets (such as the charmed sigma particles).

Precise Measurements of the Masses of Cs, Rb and Na — A New Route to the Fine Structure Constant

2001 ◽  
pp. 177-187
Author(s):  
Simon Rainville ◽  
Michael P. Bradley ◽  
James V. Porto ◽  
James K. Thompson ◽  
David E. Pritchard
Keyword(s):  
Fine Structure ◽  
Structure Constant ◽  
Fine Structure Constant ◽  
The Masses

scholarly journals On a Possible Logarithmic Connection between Einstein’s Constant and the Fine-Structure Constant, in Relation to a Zero-energy Hypothesis

2020 ◽  
pp. 22-40
Author(s):  
Andrei-Lucian Drăgoi
Keyword(s):  
Fine Structure ◽  
W Boson ◽  
Structure Constant ◽  
Quadratic Equation ◽  
Elementary Particles ◽  
Fine Structure Constant ◽  
Zero Energy ◽  
Electron Positron ◽  
New Interpretation ◽  
Logarithmic Connection

This paper brings into attention a possible logarithmic connection between Einstein’s constant and the fine-structure constant, based on a hypothetical electro-gravitational resistivity of vacuum: we also propose a zero-energy hypothesis (ZEH) which is essentially a conservation principle applied on zero-energy that mainly states a general quadratic equation having a pair of conjugate mass solutions for each set of coefficients, thus predicting a new type of mass “symmetry” called here “mass conjugation” between elementary particles (EPs) which predicts the zero/non-zero rest masses of all known/unknown EPs to be conjugated in boson-fermion pairs; ZEH proposes a general formula for all the rest masses of all EPs from Standard model, also indicating a possible bijective connection between the three types of neutrinos and the massless bosons (photon, gluon and the hypothetical graviton), between the electron/positron and the W boson and predicting two distinct types of neutral massless fermions (modelled as conjugates of the Higgs boson and Z boson respectively) which are plausible candidates for dark energy and dark matter. ZEH also offers a new interpretation of Planck length as the approximate length threshold above which the rest masses of all known elementary particles have real number values (with mass units) instead of complex/imaginary number values (as predicted by the unique quadratic equation proposed by ZEH).

Oscillations and potentials of mesons and baryons

2021 ◽  
Vol 34 (4) ◽  
pp. 414-419
Author(s):  
Borros Arneth
Keyword(s):  
Binding Energy ◽  
Coulomb Interaction ◽  
Simple Formula ◽  
Resonance Energy ◽  
Elementary Particles ◽  
Internal Mass ◽  
Fine Splitting ◽  
The Masses

In the following, the oscillations and potentials of mesons and baryons are examined and analyzed in detail. The oscillations result from a simple formula that describes the resonance energy at which the corresponding particle can absorb energy and thus appear. The potentials describe three mechanisms that describe the fine splitting of the masses of the elementary particles. These potentials can be read off and derived from the experimentally determined masses of the elementary particles as coefficients. The three mechanisms are internal mass charge binding energy, external mass charge binding energy, and Coulomb interaction.

scholarly journals Quantitative estimates on the binding energy for hydrogen in non-relativistic QED, II: The spin case

2014 ◽  
Vol 26 (08) ◽  
pp. 1450016
Author(s):  
Jean-Marie Barbaroux ◽  
Semjon Vugalter
Keyword(s):  
Fine Structure ◽  
Binding Energy ◽  
Structure Constant ◽  
Fine Structure Constant ◽  
Hydrogen Binding ◽  
Quantitative Estimates

The hydrogen binding energy in the Pauli–Fierz model with the spin Zeeman term is determined up to the order α3, where α denotes the fine-structure constant.

scholarly journals New Limit on Space-Time Variations in the Proton-to-Electron Mass Ratio from Analysis of Quasar J110325-264515 Spectra

Symmetry ◽  
2020 ◽  
Vol 12 (3) ◽  
pp. 344
Author(s):  
T. D. Le
Keyword(s):  
Fine Structure ◽  
Structure Constant ◽  
Space Time ◽  
Fine Structure Constant ◽  
Electron Mass ◽  
Mass Ratio ◽  
Quasar Spectra ◽  
Time Variations ◽  
Using Data ◽  
The Universe

Astrophysical tests of current values for dimensionless constants known on Earth, such as the fine-structure constant, α , and proton-to-electron mass ratio, μ = m p / m e , are communicated using data from high-resolution quasar spectra in different regions or epochs of the universe. The symmetry wavelengths of [Fe II] lines from redshifted quasar spectra of J110325-264515 and their corresponding values in the laboratory were combined to find a new limit on space-time variations in the proton-to-electron mass ratio, ∆ μ / μ = ( 0.096 ± 0.182 ) × 10 − 7 . The results show how the indicated astrophysical observations can further improve the accuracy and space-time variations of physics constants.

scholarly journals Measurement of the running of the fine structure constant below 1 GeV with the KLOE detector

2019 ◽  
Vol 218 ◽  
pp. 02012
Author(s):  
Graziano Venanzoni
Keyword(s):  
Fine Structure ◽  
Energy Region ◽  
Direct Evidence ◽  
Branching Ratio ◽  
Structure Constant ◽  
Fine Structure Constant ◽  
Recent Measurement ◽  
Single Measurement ◽  
Lepton Universality ◽  
Hadronic Contribution

I will report on the recent measurement of the fine structure constant below 1 GeV with the KLOE detector. It represents the first measurement of the running of α(s) in this energy region. Our results show a more than 5σ significance of the hadronic contribution to the running of α(s), which is the strongest direct evidence both in time-and space-like regions achieved in a single measurement. From a fit of the real part of Δα(s) and assuming the lepton universality the branching ratio BR(ω → µ+µ−) = (6.6 ± 1.4stat ± 1.7syst) · 10−5 has been determined

scholarly journals Fine structure constant and the CMB damping scale

2012 ◽  
Vol 85 (10) ◽  
Author(s):  
Eloisa Menegoni ◽  
Maria Archidiacono ◽  
Erminia Calabrese ◽  
Silvia Galli ◽  
C. J. A. P. Martins ◽  
...  
Keyword(s):  
Fine Structure ◽  
Structure Constant ◽  
Fine Structure Constant
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