^^ Cdc, its actually simple math. All speakers are driven by power and if the amp can make the power into the speaker the voltage and current will be exactly the same regardless of the amplifier.
Obviously there is more to it than that- what is going on here is how the amplifier responds to different impedances that will be present in any speaker at various frequencies.
The idea behind the Voltage Paradigm was essentially to deal with box resonance, which is represented by a large impedance peak in the bass region, usually just above the cutoff frequency of the woofer in the box. If you drive that peak with the same power as other frequencies, you will get a one-note bass boom. To control this effect and other issues associated with peaks and dips in the driver response and also due to the crossover, the Voltage Paradigm was created as a sort of standard for driving loudspeakers. You know how a transistor amp can double power as impedance is cut in half? The converse is true too- if you double impedance, the *power* is cut in half. that works nicely for controlling output when dealing with a resonance.
(In the Power Paradigm, the resonance is set up ideally to allow the amplifier to put out the power, but at a frequency that should result in extension of the bottom octave of the speaker's response. This allows a speaker of similar size to go deeper than a speaker designed for the Voltage Paradigm. In both cases, we are looking for flat frequency response, and it is possible that the Voltage Paradigm approach will result in flatter response in some cases. However, the brain has a tipping point wherein distortion will overshadow frequency response errors in its perception of coloration- IOW, a system that has flat frequency response may well sound more colored due to the types of distortion generated. This is why two amps might measure with identical frequency response, yet one might sound bright while the other does not. The Power Paradigm seeks to use this fact to audiophile's advantage while the Voltage Paradigm ignores it.)
Unfortunately, in 99 44/100 percent of all amplifiers, this means that they have to run negative feedback either to create linearity, to create a low enough output impedance or both in the amplifier.
Now that I think of it though, it seems to me that what you are interested in doing is getting a solid state amp that otherwise has the character usually found in tube amps- greater linearity, such that feedback is not required. There are a couple of amps you might look at. The first has been mentioned- Pass Labs. I *think* they may be offering zero feedback amplifiers with a little more power, that otherwise are considered Voltage Paradigm devices. The other amp is the Ayre.
It is not easy to build a reliable solid state amplifier that does not use feedback, which is why most designers don't bother. But Nelson and Charlie did- so you might want to give their amps a listen. That way you can use a Voltage Paradigm speaker and see what you think.
One reason why tubes have increased linearity over solid state has to do with the non-linear capacitive aspects that exist within the layers of almost any solid state output device (which tubes don't have). This non-linear aspect is magnified by current. This is why all solid state amps will have lower distortion and will sound better when driving higher impedance loudspeakers. Yes- they won't make as much power, but they will have more musical finesse. This is also why tubes are still very much in evidence half a century after being declared obsolete.
So you might consider a higher impedance speaker to go with the amplifiers I suggested. That will be giving you a good chance for the better sound within the constraints of solid state technology.