You are talking about amps that are stable at 4 ohms. I'm talking about amps that are not.
Yes I am talking about amps that are stable into 4 ohms, such that it will deliver the same current, but at half the voltage into half the impedance, and half the power.
I kow you know the formula but for clarity they are:
P=V^2/R, or P=I^2*R, also for clarity I use R (resistance) instead Z (impedance) to avoid the power factor confusion.
Also the famous V=I*R
So if that 100W amp is stable with an 8 ohm load,
It has to output =sqrt(100*8) or 28.28427V into the 8 ohms load and the current=V/R=28.28427/8=3.5534A.
Now if you lower the resistive load to 4 ohms, while keeping the same voltage, the current will double and most amp will become unstable, but if you turn the volume down so that the output is halved to V=28.28427/2=14.142135V, then
current=14.142135/4 or 3.5534A, same as before.
Power=I^2*R (or you can use V^2/R to get the same result)=3.5534^2*4=50W
Again, if that 100W amp is stable driving an 8 ohm load, there is no reason for it to become unstable when driving a 4 ohm load up to 50W as long as you turn the volume down to the point where the voltage is half of what it is when driving the 8 ohm load.
That being said, the simple calculations I used are for a load resistance. In the real world, the impedance of a speaker as well as the phase angle that the current lags or leads the applied voltage will fluctuate with frequency so it is possible that your example amp will in fact become unstable when driving a speaker rated 4 ohm nominal.
We may want to keep in mind that while the definitions of 'nominal impedance' are not clear, there is a IEC guideline apparently.
According to an article in this linK (
http://www.epanorama.net/documents/audio/speaker_impedance.html):
"The IEC standard (IEC60268-3) allows any "increase" above the rated value, but limits the "decrease". The standard does not allow the impedance to fall below the 80 % of the nominal value at any frequency, including DC."
I think we are on the same page but I am actually trying to clarify some relevant points for anm. I know in doing so I may confuse him.