I read some of those links, and I still don't understand just how using charged capacitors helps the sound quality.
If I understand what I read, the battery raises the voltage range at which the capacitors operate. Without a battery, voltage fluctuates as a sine wave between plus and minus voltages around zero volts, the dotted line in the figure below:
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With the battery, voltage is offset above the zero voltage level, never crossing it.
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Zero volts is a mathematical concept humans use to describe the voltage level between plus volts and minus volts. I don't think the electrons care that it's zero. And I don't understand how a DC voltage offset can affect sound quality in a speaker that uses charge coupled capacitors in crossover circuits.
Please, if anyone can explain this, I'd like to hear it.