Nrchy...Science is not quite as primitive as you suppose. Don't be snowed by this string theory bs.
In particular it is very simple to measure whether two amps produce identical outputs. Simply feed the same input (a real musical waveform if that turns you on) to both amps (with level adjusted for gain difference) and make a voltage measurement, or oscilloscope observation across the two outputs. The difference voltage in units of millivolts can be compared with the output voltage in volts and expressed in units of dB. This would not be a very useful measurement for an amp designer, but it would give a user an idea of how well two amps compare... for example an inexpensive model vs an expensive one, or a modified vs stock one. It would not tell you which amp was better, just if there was any difference large enough to be audible.
In particular it is very simple to measure whether two amps produce identical outputs. Simply feed the same input (a real musical waveform if that turns you on) to both amps (with level adjusted for gain difference) and make a voltage measurement, or oscilloscope observation across the two outputs. The difference voltage in units of millivolts can be compared with the output voltage in volts and expressed in units of dB. This would not be a very useful measurement for an amp designer, but it would give a user an idea of how well two amps compare... for example an inexpensive model vs an expensive one, or a modified vs stock one. It would not tell you which amp was better, just if there was any difference large enough to be audible.