The Fine Structure Constant, the Rydberg Constant and the Planck Constant

2017 ◽  
Vol 03 (02) ◽  
Author(s):  
YinYue Sha
2017 ◽  
Vol 9 (4) ◽  
pp. 17
Author(s):  
Koshun Suto

In this paper, the author searches for a formula different from the existing formula in order to elucidate the nature of the fine structure constant a. The relativistic energy of the electron in a hydrogen atom is expressed as E_re,n and the momentum corresponding to that energy is taken to be P_re,n. Also, P_p,n is assumed to be the momentum of a photon emitted when an electron that has been stationary in free space transitions to the inside of a hydrogen atom. When n=1, the ratio of P_re,1 and P_p,1 matches with a. That is, P_p,1/Pre,1=a Also, the formula for the energy of a photon is E=hv. However, this formula has no constant of proportionality. If one wishes to claim that the energy of a photon varies in proportion to the photon's frequency, then a formula containing a constant of proportionality is necessary. Thus, this paper predicts that, in the natural world, there is a minimum unit of angular momentum h_vp smaller than the Planck constant. (The vp in h_vp stands for “virtual particle.”)If this physical constant is introduced, then the formula for the energy of the photon can be written as E=h_vp v/a. If h_vp exists, a formula can also be obtained which helps to elucidate the nature of the fine structure constant.


2019 ◽  
Vol 34 (38) ◽  
pp. 1950315
Author(s):  
Ivan A. Cardenas ◽  
Anton A. Lipovka

In this paper, we evaluate the fine-structure constant variation that should take place as the pseudo-Riemannian Universe expands and its curvature is changed adiabatically. Such variation of the fine-structure constant is attributed to an energy loss by an extended physical system (consisting of baryonic component and electromagnetic (EM) field) due to expansion of our Universe. Obtained ratio [Formula: see text] (per second) is only five times smaller than actually reported experimental limit on this value. For this reason, the obtained variation can probably be measured within a couple of years. To argue the correctness of our approach, we calculate the Planck constant as adiabatic invariant of the EM field propagated on the pseudo-Riemannian manifold characterized by slowly varied geometry. Finally, we discuss the double clock experiment based on Al[Formula: see text] and Hg[Formula: see text] clocks carried out by Rosenband et al. (Science 2008). We show that in this case (when the fine-structure constant is changed adiabatically), the method based on double clock experiment cannot be applied to measure the fine-structure constant variation.


2019 ◽  
Vol 32 (3) ◽  
pp. 292-297
Author(s):  
Teodor Ognean

Certain relationships between the Newtonian gravitational constant, the Planck constant, and the square of the fine structure constant, established by dimensional analysis, are presented. Here we show that, based on these relationships, a more exact value for the Newtonian gravitational constant G equal to 6.67409076 × 10−11 m3 kg−1 s−2 can be calculated. In this way, these relationships could be used as a nonconventional tool for establishing a G gravitational constant value very close to the real one. It is considered that the difference between this calculated value and the values provided by the most accurate measurements of this constant is very important, whereas such difference could reflect certain, subtle and unknown “links” existing between the natural phenomena. This article also highlights a very interesting relationship between the Newtonian gravitational constant G, the square of the fine structure constant (α−1)2, and the Planck constant h, having the following form: 2XG = π (10Xα/2Xh)2, where XG, 10Xα, and Xh are the normalized values (dimensionless) of these constants.


2021 ◽  
Vol 3 (1) ◽  
pp. 61-66
Author(s):  
Jiří Stávek

We have proposed several new rules for the description of events in the microworld. We have newly defined the interpretation of the quantum spin as the angular momentum curvature and defined the geometry of helixes and toroidal helixes of quantum particles. Some new properties of quantum particles can be experimentally tested. Based on this concept we have defined the electron g-factor as the ratio of the toroidal torsion and curvature and events between the electron and its coupling photon. From this model we have extracted the values of the fine-structure constant α and the Planck constant h. The comparison of these values with the latest experimental data reveals some possible circular arguments in the experimental determination – the so-called SI barrier created by the fixing of the SI constants (SI – International System of Units). We propose on the one side to analyze those possible circular arguments and on the other side to continue to develop new generations of instruments for getting one or two more significant figures of those values h and c. The predictions of this classical model could be compared with the best predictions of QED (quantum electrodynamics) for the fine-structure constant α.


Symmetry ◽  
2020 ◽  
Vol 12 (3) ◽  
pp. 344
Author(s):  
T. D. Le

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.


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