by wendy » Wed Dec 05, 2007 9:32 am
The EM velocity constant appears first in this relation.
Suppose you have two parallel wires, of infinite length. A charge of so V verbers over L feet, gives rise to an electrostatic charge of F poundals per foot.
Now, the same setup, involving an electric current of V verbers in T seconds, giving rise to the same force of F pdl/ft, defines a value T.
Regardless of this setup, L/T is constant. In terms of CGS units, the em unit of charge is of dimensions dyn^½ . s, and in esu, dyn½ cm, the equal measure of these gives T emu = L esu, where L/T is the em velocity.
We see that if an oscillator with an induction of L1 emu, and a capacitor of C1 esu (both measured in L), the radian-rate (ie 2pi.frequency) is T, and that C1.L1/T² is the em velocity constant, squared.
Maxwell proved that from an Electromagnetic oscillator, such as an rotating magnet, that the field state radiates at the velocity of L/T, and noting that it was fairly close to the measured speed of light, that "light travels in the same medium as EM waves".
Henrich Hertz constructed an EM oscillator as described above, and showed that the resulting waves have the properties of light.
Since maxwell's equations are independent on the proper motion, the equations indicate relativity of frames of reference are something different to the Newtonian time-space idiom.
Since Newtonian relativity should indicate that the EM velocity should be altered, and this is not the case (ie there is no etherfer), we have then that space and time are connected at the rate of EM velocity, and that a space-time that allows observers to convert an event's space-time such that space and time convert at the EM velocity, is what is needed.
Einstein showed in 1905 the general theory, and in 1911, Minkowski provided the geometric framework for this model. The geometry of this is different to the geometry of four spacial dimensions, since the distance between points can be the square root of a number of any sign.