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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What kind of difference did you hear? Bass pretty much has no timbre, that’s why matching your subs to the speakers pretty much doesn’t exist, and at 20Hz we can practically have 100% THD and it not be audible, and even 10% THD at 100Hz is about the threshold.
Going back 40 years, I have been replacing hard wired factory power cords with larger gauge wire on 100's of amplifiers ( such as Marantz model 15, Citation 12 and 16a, Phase Linear 400, SAE 2200, Nad 3020, Rotel RB850 or a Soundcraftsmen A400, CJ Premier 12, Yamaha P2050, just to name a few ). The new cable was from either Carol or Southwire, 12 gauge, unshielded, with standard Wattgate plugs. Nothing fancy. Tremendous improvement in sq, in every instance. Did it on everything, including preamplifiers, cd players, tuners, equalizers, etc, with great improvements in sq. Were all of these products produced with poorly designed power supplies ? I doubt it. Personally, I was not a fan of IEC inlets when they started showing up on gear, as I believed, and still do, hard wiring to be a superior connection, but I do understand, and have adapted to the iec standard. Power cables make a difference, and hearing is believing......Enjoy ! MrD.
Some of the differences heard : Increase in dynamic range; greater ability to hear finite details; smoother and more extended top end; deeper, fuller and greater extension of bottom end; easiness and flow of the music; instruments and vocals became clearer; musicianship easier to follow; soundspace is more holographic ( wider, deeper and higher ); everything is more coherent. Enjoy ! MrD.

The only thing I changed was the pc on the sub and even my wife commented how real everything was sounding.  focus and more precise base, soundstage stayed the same but voice and instruments were easier located from one another.  I understand your comment about timbre, wife plays keys and I play guitar but damn it sounds real!  all I know is we're enjoying the music very much so!  maybe we hit the jackpot with system synergy?