Not sure what you mean here, either. Amplitude is kind of the overwhelming thing that we perceive as listeners.
Turns out that's not true. It takes pretty big changes in
linear amplitude response before we notice, and smaller changes in phase, but even phase we're a lot less sensitive to than a spike where there shouldn't be a sound. Intermod gives that.
Acoustics of a room, or simply taking a step over a few inches, can really change frequency response and we don't notice.
Maybe some people don't notice. Others seem to. Certainly the response in the room is measurable (and tends to be pretty huge).
That's kind of the point. A null in a room might be several
times quieter than a peak point. And you barely notice -- some people will and others won't. Sure, bass is louder in the back of a concert hall, and you can tell that, but as you pointed out, it's a huge difference there.
In comparison, the differences of the type you might see in an audio system are really really tiny, and imperceptible.
On the other hand, the ear is a frequency-domain device with an extreme dynamic range -- over 100dB. What's that mean? Intermodulation distortion is a Really Big Deal.
Intermodulation distortion in the speakers, in the amp, or in your ear/head (and here I don't mean imaginary stuff, I mean real processing in your ear/head).
Amplifier and speakers. Basically, anything nonlinear will cause intermod. The ears are a frequency-domain device. If you have two tones coming in, intermod will cause a third tone. The ear will completely pick up on that. An oscilloscope generally will have a much harder time.
Your ear/head is frequency-domain and won't
Math isn't sufficient to show us what is audible. The combination of some perceptual acoustics knowledge and the math might suggest, however, when the jitter might become audible.
I've worked through the math, many years ago, and won't repeat it right now. Sufficient to say, jitter is very, very noticeable.
Components like capacitors are sufficiently nonlinear to give audible distortion in the signal path. Of course, most audio equipment is badly enough misengineered that insufficient feedback and nonlinear gain also give errors. That's easy enough to fix. None of this is rocket science.
But it is electrical engineering, so we can examine this systematically. We can also do tests to determine, at the end of the day, whether any of it is actually audible.
Yes. Such test have been done. I don't have good references, but I've seen plots, and it is audible. One of the major developments which had gone unnoticed when I last looked were NG0 capacitors. Audio engineers presume ceramics are useless, but ceramic technology has come a long, long ways in the past 50 years. I've never seen a comparison of a
modern ceramic to a polystyrene film. Large C0G/NG0 capacitors are nothing like the ceramics of old.
A capacitor here might be a microfarad. People then presume e.g. nonlinear capacitance in signal wires matters. Back-of-the-envelope numbers suggest it's so hopelessly low that it has no chance to do so. But that's one of the places you get $5000 wires.
Let's skip, for the moment, what bad audiophile designs do and focus on competent examples.
I can't discuss a null. To the best of my knowledge, no such examples exist.
Antenna theory is pretty well studied.
But not well understood. But that's hardly relevant to the conversation.
How about some rough numbers on what the speaker wire is likely to pick up and/or on what is going to come out the other end. Again, without such numbers all this falls within the realm of the anecdotal. Not disproven, mind you, but anecdotal.
That's actually very hard to do. Incredibly hard to do. A lot of analog is anecdotal. The best way to look at this is:
- Little loops of wire, as in a circuit built on a protoboard, commonly pick up noticeable signals in the 100MHz FM range.
- This is a much bigger antenna.
- It's inside of the feedback loop.
- Generally, having 100MHz all over a circuit causes slight bits of wonkiness. Slew rate limitations and that kind of thing.
It's a little bit of analog voodoo, in that hard numbers are hard to come by, since (1) antennas are not well-understood and (2) the size of the effect can vary by many orders of magnitude based on how you happen to position your speaker wires, how close you are to a radio station, etc.
As a sidenote, I don't work in this field, and I'm more competent than 99+% of the high-end audio engineers out there. This isn't praise or a testament to my competence. Virtually no one competent goes into that field.