you can find lots more words with search
the outline of the argument that cables to headphones likely don't matter audibly runs from electrical properties of cables, amps, headphones over audio frequency to comparisons with Blind ABX thresholds for hearing small amplitude/phase changes with frequency
try cable, LCR, ABX, threshold, EMI, wire, conductivity, microphonics, skin effect, psychoacoustics
I put a fair amount of tech content in my posts so if returns from keyword search are too big you could narrow to search by user: jcx
and likely I posted to threads with other worthwhile technical content contributors participating so scroll some too
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few people actually say that no cable material/construction whatsoever never makes a difference with any signal, equipment
people who have the engineering background and experience in precision measurements will say that cables can have effects - and conventional LCR, and coupling/shielding effectiveness numbers combined with signal, source and receiver circuit details can "explain" differences - "transfer impedance" describes shielding effectiveness against EMI - in high impedance, DC measurements triboelelctric and "induced piezeo-electric" effect with high polarizing V "microphonics" are also known
in audio, at consumer line levels the biggest difference in SE cables like RCA/coax is the resistance and coverage factor of the shield - use better grade video cable with heavy shield and not much more can be done
for speaker cable LCR, skin effect can give measurable differences - but at or below most accepted psychoacoustic estimates of JND frequency response thresholds
https://passlabs.com/articles/speaker-cables-science-or-snake-oil
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a old JAES paper gives the following just detectable difference thresholds - as you can see it is a function of how big and how wide both, as a function of frequency too
http://home.provide.net/~djcarlst/abx_crit.htm
and:
"shielding for headphone output cables isn't usually necessary - it does depend on amplifier EMI rejection quality - EMI intercepted by headphone cables as antenna won't create audible sound in the drivers by themselves
since cable stiffness, mechanical microphonics from heavy, stiff cable dragging on clothing, the weight pulling on cups are real audible detractions - and the extra shielding adds both - headphone cables seldom use shielding
( I always cringe when I see fat cable to the headphone - not that I don't cringe at any mention of aftermarket/diy headphone re-cables too )
( please accept my condolences for having listened to
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the short sample I could stand seemed like they were being careful not to sound like loons - but their profits, entire industry really does rely on FUD, marketing, mythology much more than engineering, psychoacoustic science )
any wires connected to the amp electronics can work as antenna to couple external EMI into the circuit where RF energy may be "detected" like a crystal radio and converted to audible signals, noise
it is fairly easy for the amp designers to include EMI protection on input and output
externally you can add common mode ferrite interference suppressors - helps knowing the EMI "threat" frequencies, some thing about the circuit EMI resistance, I/O impedances
http://www.audiosystemsgroup.com/AESPaperFerritesASGWeb.pdf
fortunately the "best" place for these is right up against the amp housing/connector so they shouldn't be a problem mechanically
amp input is usually much more sensitive to EMI and depending on system, power configuration there can also be conducted mode EMI
its way more worthwhile treating input, power before headphone cables given the common order of EMI problems in typical audio systems
superior EMI rejection for source-amp interconnect could use
http://www.neutrik.com/en/xlr/emc-series/nc3mxx-emc
"