The
Kinetic and Gravitational Scaling of the Units of Electricity and Magnetism
2018-01-22
Relativity and Gravity Publication - No. 20
Buenker
Robert J.
Prof. Dr.
Buenker, Robert J.
aut
en
<p> An effective means of incorporating the time dilation effect into relativity theory is to
assume that the unit of time is directly proportional to γ (u) = (1-u<sup>2</sup>/c<sup>2</sup>)<sup>-0.5</sup> on an object such as
a light source that has been accelerated to speed u relative to the laboratory. In recent work it
has been shown that a similar theoretical approach can be applied to other physical quantities
such as length and inertial mass, and as a result, to all other mechanical properties in the mks
system. This concept of <i>uniform scaling</i> can also be applied successfully for gravitational
interactions. The question as to how the units of electromagnetic quantities such as electric
charge and magnetic induction change with both acceleration and varying position in a
gravitational field is therefore of considerable interest. Since the unit of electric charge can be
chosen independently of the value of the permittivity of free space ε<sub>0</sub>, it is shown that all
electromagnetic quantities can also be assigned units <i>directly</i> in the mks system, thereby
making it a trivial matter to deduce their kinetic and gravitational scaling behavior. For
example, the unit of electric charge can be 1 J as long as ε<sub>0</sub> has units of 1 N. A table is given
that makes a comprehensive comparison of the standard units in the Giorgi system with those
in two such <i>direct mks</i> schemes. A simple procedure is also described for changing the
numerical values of the units in a systematic manner by dividing the various electromagnetic
quantities into five distinct classes. This allows one to equate the value of ε<sub>0</sub> to 1/4π, for
example, similarly as for the Gaussian system of units, while still retaining the same formulas
as in the Giorgi system.
2018-01-22T10:45:48.117Z
2018-01-22T11:42:25.864Z
published
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