Constants and cosmology - The nature and origin of fundamental constants in astrophysics and particle physics

Statistics – Computation

Scientific paper

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Astrophysics, Cosmology, Relativistic Theory, Computational Astrophysics, Constants, Dimensional Analysis, Electrodynamics, Gravitation Theory

Scientific paper

The nature and origin of the fundamental constants of astrophysics and particle physics, notably the speed of light c, the gravitational constant G, Planck's constant h, and the magnitude of the electron charge e are examined. Consideration is given to general relativity and the theories of the electromagnetic, weak and strong interactions that make up the Standard Model, together with the Lagrangians of Einstein, Maxwell, Schroedinger, Klein-Gordon, Dirac, Proca, and Yang-Mills. Then a qualitative examination is carried out at how the equations of physics are set up, their dimensional content, and the removal of constants from them by a suitable choice of units. A conclusion is reached, in agreement with Hoyle and Narlikar, Jeffreys and McCrea, that parameters like c, G, and h are merely man-made dimensional conversion constants. They arise because of the subjective view that mass, length, and time are different concepts. These constants can be removed in a manner analogous to the removal of the permittivity of free space epsilon(0) from electrodynamics. The charge e is different, being the low-energy limit of a function related to properties of the vacuum, but because of this it is not a fundamental constant either.

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