scholarly journals Exact mathematical Formula that connect 6 dimensionless physical constants

2021 ◽  
Author(s):  
Stergios Pellis ◽  
Stergios Pellis Greece
Keyword(s):  
Structure Constant ◽  
Fine Structure Constant ◽  
Electron Mass ◽  
Gravitational Coupling ◽  
Coupling Constant ◽  
Physical Constants ◽  
Avogadro Number ◽  
Gravitational Coupling Constant ◽  
Mathematical Formulas ◽  
New Formula

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.

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
Keyword(s):  
Speed Of Sound ◽  
Structure Constant ◽  
Point Of View ◽  
Fine Structure Constant ◽  
Electron Mass ◽  
Large Set ◽  
Fundamental Physical Constants ◽  
Physical Constants ◽  
Dimensionless Constant ◽  
Fundamental Physical

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.

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 Fundamental physics and the fine-structure constant

2017 ◽  
Vol 5 (2) ◽  
pp. 46 ◽  
Author(s):  
Michael Sherbon
Keyword(s):  
Fine Structure ◽  
Structure Constant ◽  
Fine Structure Constant ◽  
Electron Mass ◽  
Fundamental Constants ◽  
Mass Ratio ◽  
Fundamental Physics ◽  
Weak Force ◽  
Strong Force ◽  
Symmetry Principles

From the exponential function of Euler’s equation to the geometry of a fundamental form, a calculation of the fine-structure constant and its relationship to the proton-electron mass ratio is given. Equations are found for the fundamental constants of the four forces of nature: electromagnetism, the weak force, the strong force and the force of gravitation. Symmetry principles are then associated with traditional physical measures.

scholarly journals Implications and Applications of Fermi Scale Quantum Gravity

2019 ◽  
Author(s):  
U.V.S. Seshavatharam ◽  
S. Lakshminarayana
Keyword(s):  
Binding Energy ◽  
Structure Constant ◽  
Physical Constant ◽  
Fine Structure Constant ◽  
Electron Mass ◽  
New Approach ◽  
Quark Masses ◽  
Proton Mass ◽  
Nuclear Stability ◽  
Elementary Charge

To understand the mystery of final unification, in our earlier publications, we proposed two bold concepts: 1) There exist three atomic gravitational constants associated with electroweak, strong and electromagnetic interactions. 2) There exists a strong elementary charge in such a way that its squared ratio with normal elementary charge is close to reciprocal of the strong coupling constant. In this paper we propose that, can be considered as a compound physical constant associated with proton mass, electron mass and the three atomic gravitational constants. With these ideas, an attempt is made to understand nuclear stability and binding energy. In this new approach, nuclear binding energy can be fitted with four simple terms having one unique energy coefficient with a formula, where is an estimated mean stable mass number. With this new approach, Newtonian gravitational constant can be estimated in a verifiable approach with a model relation of the form, where is the Fine structure constant. Estimated and is 62 ppm higher than the CODATA recommended It needs further investigation. Proceeding further, an attempt is made to fit the recommended quark masses.

scholarly journals What if Newton’s Gravitational Constant Was Negative?

Galaxies ◽  
2019 ◽  
Vol 7 (1) ◽  
pp. 38
Author(s):  
Ismael Ayuso ◽  
José Mimoso ◽  
Nelson Nunes
Keyword(s):  
Field Theory ◽  
General Relativity ◽  
Gravitational Constant ◽  
Gravitational Coupling ◽  
Coupling Constant ◽  
De Sitter ◽  
Quadratic Potential ◽  
Gravitational Coupling Constant ◽  
General Scalar ◽  
Gravity Theories

In this work, we seek a cosmological mechanism that may define the sign of the effective gravitational coupling constant, G. To this end, we consider general scalar-tensor gravity theories as they provide the field theory natural framework for the variation of the gravitational coupling. We find that models with a quadratic potential naturally stabilize the value of G into the positive branch of the evolution and further, that de Sitter inflation and a relaxation to General Relativity is easily attained.

Photoproduction of Gravitons in Static Electromagnetic Fields

1975 ◽  
Vol 53 (20) ◽  
pp. 2306-2311 ◽  
Author(s):  
G. Papini ◽  
S. -R. Valluri
Keyword(s):  
Magnetic Dipole ◽  
Electromagnetic Fields ◽  
Cross Sections ◽  
Gravitational Coupling ◽  
External Fields ◽  
Coupling Constant ◽  
Gauge Invariant ◽  
Gravitational Coupling Constant ◽  
Extended Sources ◽  
Divergence Free

The cross sections for the process of photoproduction of gravitons in Coulomb and magnetic dipole external fields have been calculated. The calculation, which is linear in the gravitational coupling constant κ, is completely covariant, manifestly gauge invariant, and divergence free. The results to this order in κ are exact. Expressions for the case of extended sources have also been obtained and found to be in agreement with the results of other authors.

PRECISION MEASUREMENT BASED ON ULTRACOLD ATOMS AND COLD MOLECULES

2007 ◽  
Vol 16 (12b) ◽  
pp. 2481-2494 ◽  
Author(s):  
JUN YE ◽  
SEBASTIAN BLATT ◽  
MARTIN M. BOYD ◽  
SETH M. FOREMAN ◽  
ERIC R. HUDSON ◽  
...  
Keyword(s):  
Ground State ◽  
Time Variation ◽  
Ultracold Atoms ◽  
Scattering Length ◽  
Structure Constant ◽  
Fine Structure Constant ◽  
Separate Experiment ◽  
Interstellar Space ◽  
Electron Mass ◽  
Clock Transition

Ultracold atoms and molecules provide ideal stages for precision tests of fundamental physics. With microkelvin neutral strontium atoms confined in an optical lattice, we have achieved a fractional resolution of 4 × 10-15 on the 1S0–3P0 doubly forbidden 87 Sr clock transition at 698 nm. Measurements of the clock line shifts as a function of experimental parameters indicate systematic errors below the 10-15 level. The ultrahigh spectral resolution permits resolving the nuclear spin states of the clock transition at small magnetic fields, leading to measurements of the 3P0 magnetic moment and metastable lifetime. In addition, photoassociation spectroscopy performed on the narrow 1S0–3P1 transition of 88 Sr shows promise for efficient optical tuning of the ground state scattering length and production of ultracold ground state molecules. Lattice-confined Sr 2 molecules are suitable for constraining the time variation of the proton–electron mass ratio. In a separate experiment, cold, stable, ground state polar molecules are produced from Stark decelerators. These cold samples have enabled an order-of-magnitude improvement in the measurement precision of ground state, Λ doublet microwave transitions in the OH molecule. Comparing the laboratory results to those from OH megamasers in interstellar space will allow a sensitivity of 10-6 for measuring the potential time variation of the fundamental fine structure constant Δα/α over 1010 years. These results have also led to improved understandings of the molecular structure. The study of the low magnetic field behavior of OH in its 2Π3/2 ro-vibronic ground state precisely determines a differential Landé g factor between opposite parity components of the Λ doublet.

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