scholarly journals Speed of sound from fundamental physical constants

2020 ◽  
Vol 6 (41) ◽  
pp. eabc8662
Author(s):  
K. Trachenko ◽  
B. Monserrat ◽  
C. J. Pickard ◽  
V. V. Brazhkin

Two dimensionless fundamental physical constants, the fine structure constant α and the proton-to-electron mass ratio mpme, are attributed a particular importance from the point of view of nuclear synthesis, formation of heavy elements, planets, and life-supporting structures. Here, we show that a combination of these two constants results in a new dimensionless constant that provides the upper bound for the speed of sound in condensed phases, vu. We find that vuc=α(me2mp)12, where c is the speed of light in vacuum. We support this result by a large set of experimental data and first-principles computations for atomic hydrogen. Our result expands the current understanding of how fundamental constants can impose new bounds on important physical properties.

2006 ◽  
Vol 84 (6-7) ◽  
pp. 453-462 ◽  
Author(s):  
A Czarnecki ◽  
U D Jentschura ◽  
K Pachucki ◽  
V A Yerokhin

We review the theoretical knowledge of anomalous magnetic moments of free electrons and muons, and of electrons bound in hydrogenlike ions. We discuss applications of these observations in the determination of fundamental physical constants, the fine structure constant, the electron mass, and in searches for new interactions.PACS Nos.: 14.60.–z, 13.40.Em, 32.10.Dk


1977 ◽  
Vol 32 (6) ◽  
pp. 532-537 ◽  
Author(s):  
W. Eichendorf ◽  
M. Reinhardt

Abstract We reinvestigate Dirac's large number hypothesis (LNH) which implies the variation of one or more basic physical constants with time. We show that the ratio of the inertial masses of elementary particles and the fine structure constant a do not vary with time in the LNH.Using geochemical data on the surface temperature of the earth in the precambrian we can rule out Dirac's conjecture that the gravitational constant G is inversely proportional to cosmic epoch with and without matter creation. Our limit on Ġ/G is one of the best available. We can exclude Gamow's proposal to save the LNH by a variation of the elementary charge e. We also put an upper limit on the variation of the mass of elementary particles.With the data available at present, we cannot rule out Dirac's LNH if either the mass of elementary particles or the velocity of light and Planck's constant are time dependent. A few other models of variable physical constants are also discussed and excluded.


2020 ◽  
Vol 6 (17) ◽  
pp. eaba3747 ◽  
Author(s):  
K. Trachenko ◽  
V. V. Brazhkin

Viscosity of fluids is strongly system dependent, varies across many orders of magnitude, and depends on molecular interactions and structure in a complex way not amenable to first-principles theories. Despite the variations and theoretical difficulties, we find a new quantity setting the minimal kinematic viscosity of fluids: νm=14πℏmem, where me and m are electron and molecule masses. We subsequently introduce a new property, the “elementary” viscosity ι with the lower bound set by fundamental physical constants and notably involving the proton-to-electron mass ratio: ιm=ℏ4π(mpme)12, where mp is the proton mass. We discuss the connection of our result to the bound found by Kovtun, Son, and Starinets in strongly interacting field theories.


Author(s):  
Stergios Pellis ◽  
Stergios Pellis Greece

In this paper are a new formula for the Planck length ℓpℓ and a new formula for the Avogadro number NA. Also 9 Mathematical formulas that connect dimensionless physical constants. The 6 dimensionless physical constants are the Proton to Electron Mass Ratio μ,the Fine-structure constant α,the ratio Ν1 of electric force to gravitational force between electron and proton,the Avogadro number NA,the Gravitational coupling constant αG for the electron and the gravitational coupling constant αG(p) of proton.


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.


1970 ◽  
Vol 13 (8) ◽  
pp. 1124-1130 ◽  
Author(s):  
S. V. Gorbatsevich ◽  
V. M. Holin ◽  
V. N. Nosal'

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