Page:Über die Konstitution des Elektrons (1906).djvu/48

cathode-ray-value of $\epsilon /\mu _{0}$, and to calculate the curve with their aid. The calculated values of the curve are:

${\begin{array}{ll}A={\frac {c}{M}}{\frac {\mu _{0}}{\epsilon }}={\frac {3\cdot 10^{10}}{557,1\cdot 1,878\cdot 10^{7}}}&=2,867\\\\A={\frac {c}{M}}{\frac {\mu _{0}}{\epsilon }}={\frac {3\cdot 10^{10}}{557,1\cdot 1,878\cdot 10^{7}}}=2,867B={\frac {\epsilon }{\mu _{0}}}{\frac {E}{c^{2}}}={\frac {1,878\cdot 10^{7}\cdot 315\cdot 10^{10}}{9\cdot 10^{20}}}&=0,0658\\\\C=0,1884\\\\D={\frac {cC}{M}}{\frac {\mu }{\epsilon }}={\frac {E}{M^{2}}}{\frac {\mu _{0}}{\epsilon }}&=0,539.\end{array}}$

By means of the values, the curve can be calculated according to equation (18) or (21). It is given:

Table IX.
Curves calculated from the apparatus constants.
z'	y'
	Abraham	Lorentz	Bucherer
0,1 0,2 0,3 0,4 0,5	0,0191 0,0413 0,0712 0,1104 0,1595	0,0196 0,0434 0,0745 0,1144 0,1642	0,0190 0,0407 0,0696 0,1080 0,1568

The points calculated this way, are included in Plate. IV, Fig. 11. One can see on them, that the deviations of Lorentz's curve surpass the experimental errors by far. Though it shall again be alluded to the fact, that the previously done comparison is based on the assumption that Simon's value of $\epsilon /\mu _{0}$ is correct. Only the previously executed comparison of quantity $E/Mc$ is free from this assumption.

The results above, decidedly speak against the correctness of the theory of Lorentz and therefore also of the theory of Einstein; however, it we consider them as refuted, then consequently the attempt to establish the whole of physics including electrodynamics and optics, on the principle of relative motion, must be denoted as failed for the time being. A consideration of Einstein's theory shows, that if one nevertheless wants (with keeping this principle) to obtain agreement with my results, already Maxwell's equations of resting bodies must be modified, a step to which hardly anyone will decide himself for the time being.