Wednesday, April 23, 2014

Characteristic impedance and bandwidth

The weak interaction has a very short range (around 10−17–10−16 m[8]).[7] At distances around 10−18 meters, the weak interaction has a strength of a similar magnitude to the electromagnetic force; but at distances of around 3×10−17 m the weak interaction is 10,000 times weaker than the electromagnetic.[9]

The impedance of free space, Z0, is a physical constant relating the magnitudes of the electric and magnetic fields of electromagnetic radiation travelling through free space. That is, Z0 = |E|/|H|, where |E| is the electric field strength and |H| magnetic field strength. It has an exact irrational value, given approximately as 376.73031... ohms.[1]

OK, I use the Maxwell definition to mean the rate of change of one frequency band to another.  The ratio of wave numbers that bound the free wave in that mode. Do I have the definition right? Who knows. I will take the inverse or not.

The weak force is bound between the gluon wave number and the upper boundary of the atomic orbitals, just above the oproton, likely. Probably 6 order difference. The atomic orbitals occupy some 14 slots between their Shannon wave number. Whatever the definition of impedance, you can be sure the weak force will run into bandwidth issues very quickly.

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