1179 
the condition of the aether), and that yet the vibrator vibrates with. 
a finite energy the amount of which agrees with that calculated tor 
it by PLANck *). 
We can divide the electromagnetic field into two parts: 1st The 
electrostatic field which agrees with the momentary position of 
the electron, 2"¢ A field consisting of the really existing electric and 
magnetic forces diminished by those static forces. In agreement with 
the above we assume, that the position of the electron and therefore 
also the 2"¢ field is determined by the first. As for this latter field 
we have: 
Div € = 0 and Mads 05, 
we can represent it as follows, if for simplicity’s sake we assume, 
that the space in which it is inelosed is a cube with a side equal 
to unity: 
Er = 2 (qa + q'a’)cos 2% ua sin 2m vy sin AN we 
€, == (98 + qf’) sin 2x ux cos 27 vy sin 20 wz 
€, = ZE (gy + q'y)) sin 2m ua sin An vy cos An wz 2) 
2 = : > = 
Dr = = (p'a + pe!) sin 27 ua cos Aar vy cos An we 
Ny = = (PP 4- ph’) cos An ua sin An vy cos Ln wz 
D= = (py + py) cos 2a uw cos An vy sin An wz 
In the summation we must take for 2u, 2v, and 2w all positive 
integers; Vu? + 0? + w? represents the number of waves in 1 em. 
and 2acVu? + v? + 1 = py the number of vibrations in 27 seconds. 
The quantities a, 8, y and a’, 3’, y' are the direction coefficients of two 
directions which are mutually perpendicular, and also perpendicular to 
u Vv Ww 
the direction determined by ——————— , —— a . 
Wu? sky? ap? V we +y?+w? Vu? +0? -+ w? 
The quantities g,g’ and p, p’ are the independent variables. One of 
these variables corresponding to a certain set of values w,v,w will 
be represented by gun OF Puw- It can be proved that the variables 
1) Comp. ia. Max Pranck. Acht Vorlesungen über theoretische Physik. p. 84. 
In fact our suppositions quite agree with what PLanck does, when he treats his 
vibrators as resonators and assumes that their energy is perfectly determined by 
the radiation field, to which they are subjected. In that case it is however not 
allowed to equate the entropy of the system to the sum of the amount of entropy 
of the radialing energy, and that of the vibrator. For the motion of the vibration 
is perfectly determined by the radiation; the vibrations of the vibrator and of the 
radiation are therefore coherent and their united entropy is no more equal to the 
sum of their separate amounts of entropy as this is the case with the entropy of 
two coherent rays of radiation. (Gomp. M. Lave, Ann. d. Phys. 20 p. 365. 1906; 
eo pl and pido LOOT et). 
