Why Power Cables Affect Sound


I just bought a new CD player and was underwhelmed with it compared to my cheaper, lower quality CD player. That’s when it hit me that my cheaper CD player is using an upgraded power cable. When I put an upgraded power cable on my new CD player, the sound was instantly transformed: the treble was tamed, the music was more dynamic and lifelike, and overall more musical. 

This got me thinking as to how in the world a power cable can affect sound. I want to hear all of your ideas. Here’s one of my ideas:

I have heard from many sources that a good power cable is made of multiple gauge conductors from large gauge to small gauge. The electrons in a power cable are like a train with each electron acting as a train car. When a treble note is played, for example, the small gauge wires can react quickly because that “train” has much less mass than a large gauge conductor. If you only had one large gauge conductor, you would need to accelerate a very large train for a small, quick treble note, and this leads to poor dynamics. A similar analogy might be water in a pipe. A small pipe can react much quicker to higher frequencies than a large pipe due to the decreased mass/momentum of the water in the pipe. 

That’s one of my ideas. Now I want to hear your thoughts and have a general discussion of why power cables matter. 

If you don’t think power cables matter at all, please refrain from derailing the conversation with antagonism. There a time and place for that but not in this thread please. 
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@jtucker I like your idea. Let’s settle this thing once and for all and produce some measurements. It shouldn’t be hard to do given that the audibility is so apparent. I don’t know exactly what to measure but I would be inclined to look at transient behaviors instead of steady state properties. 
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Elizabeth,Not necessarily disagreeing with you.  We might not be measuring the right characteristic that may or may not affect the perceived change in sound.  But why not measure the obvious things that most likely could affect sound?  If there was a measurable difference in ripple, noise, EMI or transient response, then that could put the naysayers to rest permanently.  If there is no measurable change, then you may be correct, we are just not looking in the right place.  If there is an audible difference, you should be able to measure some parameter, the trick may be in knowing what to look for.  Or maybe there is no difference...I'm not making any judgement on that one way or the other at this point.  I can't see why it would hurt to at least check some of the obvious characteristics.
Calm down, people. Nobody measures anything. At least not power cords. Not much of anything else, either, I dare say. Certainly, not cables, not interconnects, not room treatments, not isolation devices, not sprays, enhancers, or any other tweaks. Give me a break! It doesn’t matter what to measure, it doesn’t matter what the measurements might be. This is all so hypothetical and irrelevant.
Geoffkait (resident directionality guru), would you think that a manufacturer supplied power cable where the cable is made with the correct directionality would sound better or worse than a mega priced aftermarket PC made with the cable having the incorrect directionality but supposedly better construction/materials?