A cable question, sort of...

Cable has two wires that create magnetic flux in opposite direction and coiling them would create something that is called "Common Mode Choke"

i think there’s a difference with common choke. In a common choke, the positive and negative have mutual inductance couple between them. When you coil up a cable, there is no mutual coupling like in that of a common choke.

As for the twisted pair, you do increase the mutual coupling, but just coiling up the cable, you just increase the inductance.  

It doesn't matter if you wind it as separate coils or interleave windings - it is still common mode choke.  It will present no inductance for differential signals, since both wires produce canceling magnetic flux.

As I said, common choke works because of mutual inductance coupling between the positive and negative. Coiling up the cable will not increase the mutual inductance since they wire still running in parallel in respect to each other. Not only that, by coiling up, you increase the mutual capacitance of the positive and negative which will degrade the signal dynamic.

If what you said is true then every speaker cables should be all coiling up.

Here's a pic of a common mode choke.  You have to coil it up in such a way to increase the common inductance coupling.  So in order to make a common mode choke, you first have to separate the positive and negative like the picture.  Just coiling up them all together won't make a common mode choke.

https://www.coilws.com/images/common-mode/common-mode-choke_schematics.jpg

I give up.

Kijanki is correct that coiling a cable in which the + and - conductors are twisted together or at least bundled together closely will not increase inductance to any significant degree. But **even if** it did so it still wouldn’t matter because the impedance presented by an inductance is directly proportional to frequency, and under any reasonable circumstances that impedance will be insignificant at the deep bass frequencies that are reproduced by the sub. And **even if** it is not measurably insignificant, it will be totally insignificant relative to the input impedance of the sub’s amplifier, which is very high as Miller indicated, and therefore it still wouldn’t make any difference.

Also, any slight increase in capacitance that may result from coiling won’t matter either at deep bass frequencies, and unless it is extremely high, and the amplifier is extremely sensitive to load capacitance it won’t affect the signals the amp is providing to the main speakers either. And of course the resistance of the cable won’t be affected by coiling.

Regards,
-- Al