Science that explains why we hear differences in cables?


Here are some excerpts from a review of the Silversmith Audio Fidelium speaker cables by Greg Weaver at Enjoy The Music.com. Jeff Smith is their designer. I have not heard these cables, so I don’t have any relevant opinion on their merit. What I find very interesting is the discussion of the scientific model widely used to design cables, and why it may not be adequate to explain what we hear. Yes it’s long, so, to cut to the chase, I pulled out the key paragraph at the top:


“He points out that the waveguide physics model explains very nicely why interconnect, loudspeaker, digital, and power cables do affect sound quality. And further, it can also be used to describe and understand other sonic cable mysteries, like why cables can sound distinctly different after they have been cryogenically treated, or when they are raised off the floor and carpet.”


“One of the first things that stand out in conversation with Jeff about his cables is that he eschews the standard inductance/capacitance/resistance/impedance dance and talks about wave propagation; his designs are based solely upon the physics model of electricity as electromagnetic wave energy instead of electron flow.


While Jeff modestly suggests that he is one of only "a few" cable designers to base his designs upon the physics model of electricity as electromagnetic wave energy instead of the movement, or "flow," of electrons, I can tell you that he is the only one I’ve spoken with in my over four decades exploring audio cables and their design to even mention, let alone champion, this philosophy.


Cable manufacturers tend to focus on what Jeff sees as the more simplified engineering concepts of electron flow, impedance matching, and optimizing inductance and capacitance. By manipulating their physical geometry to control LCR (inductance, capacitance, and resistance) values, they try to achieve what they believe to be the most ideal relationship between those parameters and, therefore, deliver an optimized electron flow. Jeff goes as far as to state that, within the realm of normal cable design, the LRC characteristics of cables will not have any effect on the frequency response.


As this is the very argument that all the cable flat-Earther’s out there use to support their contention that cables can’t possibly affect the sound, it seriously complicates things, almost to the point of impossibility, when trying to explain how and why interconnect, speaker, digital, and power cables have a demonstrably audible effect on a systems resultant sonic tapestry.


He points out that the waveguide physics model explains very nicely why interconnect, loudspeaker, digital, and power cables do affect sound quality. And further, it can also be used to describe and understand other sonic cable mysteries, like why cables can sound distinctly different after they have been cryogenically treated, or when they are raised off the floor and carpet.


As such, his design goal is to control the interaction between the electromagnetic wave and the conductor, effectively minimizing the phase errors caused by that interaction. Jeff states that physics says that the larger the conductor, the greater the phase error, and that error increases as both the number of conductors increase (assuming the same conductor size), and as the radial speed of the electromagnetic wave within the conductor decreases. Following this theory, the optimum cable would have the smallest or thinnest conductors possible, as a single, solid core conductor per polarity, and should be made of metal with the fastest waveform transmission speed possible.


Jeff stresses that it is not important to understand the math so much as it is to understand the concept of electrical energy flow that the math describes. The energy flow in cables is not electrons through the wire, regardless of the more common analogy of water coursing through a pipe. Instead, the energy is transmitted in the dielectric material (air, Teflon, etc.) between the positive and negative conductors as electromagnetic energy, with the wires acting as waveguides. The math shows that it is the dielectric material that determines the speed of that transmission, so the better the dielectric, the closer the transmission speed is to the speed of light.


Though electromagnetic energy also penetrates into and through the metal conductor material, the radial penetration speed is not a high percentage of the speed of light. Rather, it only ranges from about 3 to 60 meters per second over the frequency range of human hearing. That is exceptionally slow!


Jeff adds, "That secondary energy wave is now an error, or memory, wave. The thicker the conductor, the higher the error, as it takes longer for the energy to penetrate. We interpret (hear) the contribution of this error wave (now combined with the original signal) as more bloated and boomy bass, bright and harsh treble, with the loss of dynamics, poor imaging and soundstage, and a lack of transparency and detail.


Perhaps a useful analogy is a listening room with hard, reflective walls, ceilings, and floors and no acoustic treatment. While we hear the primary sound directly from the speakers, we also hear the reflected sound that bounces off all the hard room surfaces before it arrives at our ears. That second soundwave confuses our brains and degrades the overall sound quality, yielding harsh treble and boomy bass, especially if you’re near a wall.


That secondary or error signal produced by the cable (basically) has the same effect. Any thick metal in the chain, including transformers, most binding posts, RCA / XLR connectors, sockets, wire wound inductors, etc., will magnify these errors. However, as a conductor gets smaller, the penetration time decreases, as does the degree of phase error. The logic behind a ribbon or foil conductor is that it is so thin that the penetration time is greatly reduced, yet it also maintains a large enough overall gauge to keep resistance low.”


For those interested, here is more info from the Silversmith site, with links to a highly technical explanation of the waveguide model and it’s relevance to audio cables:


https://silversmithaudio.com/cable-theory/


tommylion
Just like those super expensive speaker makers, none of them has the courage to go through blind tests.
Clearthinker, I think you are being a bit too harsh on the
englishman-in-newyork. He is just making generalizations that are more true about the individuals in this group than other groups excepting mahgister because I am not quite sure which group he fits into.
If someone insult all a group of people indiscriminately for example : "audiophiles", it is truly wrong, and not very subtle...

The reason is simple, nobody can describe this group, composed of too many people with complex experience and history, including musicians and even many engineers....Then insulting all an indefinite group speak more about who is the personn throwing insults than about those who are insulted...








Most people audiophiles or not, think that we listen to the sound coming from the audio system...Then they point to the importance of electronic design...It is not wrong at all for sure.... It is a half truth though, it miss the other part of reality: embeddings controls and acoustic especially....


Secondly, you are right about me....

I am an audiophile because of my listening experiments, but i am  first a music lover and i think the opposite of the majority of audiophiles:

I listen the sound coming from my speakers/room/ears mainly....Not from the gear mainly....

This explain my position concerning the useless obsession to upgrade BEFORE embedding rightfully in their working dimensions, mechanically, electrically ands especially ACOUSTICALLY all the electronic designed pieces of gear....The urge to upgrade is re-inforced by marketing method from the engineering perspective in the audio community...

The basic history of electronic design is mature for the last 50 years... It is then easy to buy a good piece of electronic design at low cost...Out of the new hype ....




Myself I think against the "objectivist" and the kind of people who vouch ONLY for measurements like the anti-audiophiles that room/ears/speakers acoustic and psycho-acoustic science and ART are more important than electronical measurements of the gear to reach S.Q. nowadays... We are no more at the Marconi era...


For example room microphone connected to an electronical equalizer measurement are a secondary tool only an help, not the  ONLY way to tune and fine tune a room for  the speakers AND our ears  at all...

That is my experience, not an opinion of an audiophile or the dogma of a non audiophile...

My experience is not based on soldering or computer driven dials evaluation, but on listening experiments then on acoustic art and Helmholtz mechanical method...

I dont reject measurements, but some of the uses which are promoted in some circle about what is audio and musical experience...

I dont reject the necessity and the importance of a very good piece of electrinical engineering design, i only say that nowadays it is easier to purchase one than to LEARN how to LISTEN acoustically speaking and also musically speaking...









In one scientific word: Timbre is not spectrum....Physical acoustic science is not psycho-acoustic scence...our ears are the missing and always present  link between these 2 in audiophile experience...


Or in brief:

I always listen WITH my system or any other one , THROUGH the controlled and mechanically and psycho-activated room/speakers, i listen to the the "RECREATED  acoustic translation" of a past lived event recorded and  which become always an ACTUAL "different" acoustical event in my room or in any room anyway ...


Most people think the opposite:

They think they listen WITH their uncontrolled and passive room/speakers ,THROUGH their system the "magical" electronical "REPRODUCTION" of a lived PAST event, identical or almost to the original lived event....Because they imagine the recording microphones naively like a true memory not like a string of choices and TRADE-OFF which will modify the original performance anyway....
It's not very different than some of the golf threads I read. 

"A brand new set of irons or a new driver will definitely improve my game."

Scientifically, it might. Then again, if you think it will, it might. 

Can it be measured? Yes, the spin, the flight, the carry distance. But does that mean it will help lower your score? No. 

But how does the iron feel? Fantastic. Like a forged buttery smooth iron should. Measure that. (I'm not going to get into how some like the sound their driver makes, as that is too close to what we are discussing. )

And then you go out with your new gear and your partner outscores you with a set of (quality) 10 year old mixed bag equipment. He has better skills. That might be learned, that might be due to biological genetics. He just prefers this equipment. It's all about synergy.

And that person who outplayed you is a senior, with a reduced swing frequency response, and cannot see past 150 yards.

Analogous to many recording engineers who produce masterful recordings. 
You're slowly getting sucked in again, stop before reach the point of no return. The rabbit hole is deeper than you think.
Hmmm...and I was so sure the sound of cables had to do with the Higgs boson coming into and then going out of existence as a back-beat in the music...oh...well...
🙄🙄🙄🙄🙄🙄🙄🙄🙄🙄🙄🙄🙄🙄🙄🙄🙄🙄🙄🙄🙄🙄🙄🙄🙄🙄🙄🙄🙄🙄🙄🙄🙄🙄🙄🙄🙄🙄🙄🙄🙄🙄🙄🙄🙄🙄🙄🙄🙄🙄🙄
@tony1954, good post.

@tommylion, congratulations on your restraint with the rude dismissive response from the usual few.
the differences in capacitance alone between different makes should be enough to understand how sound may change
A fast look at spec sheets says mogami interconnect has about 70pF/meter. So a (very long) 2M interconnect has 140 pF. And a relatively high output impedance of th edriving stage is 500 ohms.  So the roughly -3dB point is >2 mHz. (if my mental math is correct).

So, is this true?




Science that explains why we hear differences in cables?


There’s 3 electrical parameters in poor quality cables that "can" influence the sound.
A combination of Resistance, Inductance and Capacitance, which ’’can" create filters with the output impedance of the source/input impedance of the load

You find all three parameters used in speaker xovers to roll off the individual speaker drivers into each other, so they work "hopefully" as a summed flat response.

Cheers George
There’s 3 electrical parameters in poor quality cables that "can" influence the sound.
A combination of Resistance, Inductance and Capacitance, which ’’can" create filters with the output impedance of the source/input impedance of the load

You find all three parameters used in speaker xovers to roll off the individual speaker drivers into each other, so they work "hopefully" as a summed flat response.

Then is it possible to use a neutral cable and a DSP?

"I am indeed "an Englishman in NY", with 32yrs professional/broadcast engineering under my belt, and I find most of these "Audiophile" claims to be absolute nonsense."

Kudos to you for making that your career (really). I will say however, & maybe it's just me, but... I've never been all that impressed with the SQ of any radio station I've heard. That stated, cable changes (in my system) have been successful in improving upon it. 
Funny so everything affects the sound ,But it's better to you the most expensive cables you can afford....lol....Next 
Different Analog Cables absolutely can sound different.

The following is my best attempt at an argument to lend to its proof. I think this is as straightforward as I can offer… I avoided posting this for 20 years… anyway…here goes.

If you believe that wire has capacitive and inductive properties… and different wires have different capacitive and inductive qualities (which can instantly be show on even a cheap multimeter)……. THEN…. All the science you need re. Analog cables is two reactance formulas.

Reactance is essentially a measure of “non-linear”resistance… i.e. resistance which VARIES with frequency (analog musical signals contain many frequencies 😉).

for inductance…. Inductive Reactance Value= angular frequency
for capitance …. Capacitive Reactance Value= 1 divided by angular frequency

Note: angular frequency IS ITSELF a formula…which contains frequency as a variable. Used here for simplicity and the fact I don’t know how to get Greek symbols on this keyboard. These values are used to design circuits and wires and….different values will yield different results…and…different SOUND.

This is second semester electronics engineering….not some exotic quantum theory.

Therefore what is conveyed by a cable in the analog realm is absolutely affected by its electrical properties…which are a product of its materials and construction.

I can only speculate that those who refuse to believe it either have an agenda, lack actual experience, or have an under-resolving system.

Now….digital cables …that is an ENTIRELY different discussion. 😬
There’s 3 electrical parameters in poor quality cables that "can" influence the sound.
A combination of Resistance, Inductance and Capacitance, which ’’can" create filters with the output impedance of the source/input impedance of the load

There's a lot more to it than that. Different dielectrics (insulators) have different properties. They all absorb or become charged with signal energy, which is then discharged back into the cable with a delay that can be heard as smearing. This does not happen uniformly across the full range of frequency. Nor does it happen uniformly with regard to amplitude. The dielectric can be thick or thin, or can be air, or any combination of material and air. Every one of these choices affects the resulting sound.

So even just this one seemingly simple decision, which insulator to use, has an impact on the sound. An impact on the sound we can easily hear, but that is in no way reflected in LCR. Just one example.

Another, impedance matching. Regardless of cable LCR if there is an impedance mismatch at either end there will be a reflection back up the wire, where it reaches the beginning and reflects back again. The resulting ringing colors the sound. This is another one that can easily be heard as Townshend F1 are designed to eliminate this, and the resulting neutral clarity of tone is obvious. 

Then there is geometry. Conductor composition. On and on. Some of these do measurably impact LCR, but some do not. Measuring LCR alone is simply not adequate. It is not that LCR is nothing or irrelevant or meaningless. It is simply that it is nowhere near as simple as some would pretend.
Post removed 
With the title being “Science can explain…”, it is hard to believe that these cables can sound different when there is no scientific proof that the signal going through them has any measured difference.

If they are shown to be able to identified subjectively as different, then we would be in a different place and could at least know that they are different.
This is not the best place for technical questions like this. Audio Science Review is much better suited. 
Only 2 ways I can think of where cable reflection would be of any concern in home audio, 1 your cables are miles long , 2 you're trying to drive some crazy speakers with a cheap class D amp and a resonant frequency causes interference with the switching frequency and you keep blowing fuses. 
There's a lot more to it than that. Different dielectrics (insulators) have different properties.

I wasn't going there but thumbs up.  Anyone who doubts read a datasheet on capacitors and all the characteristics of them; most critically to us (IMO) dialectic absorption.

The video(s) i linked get into the why - its the basically physics of electromagnetic propagation, which is in the wave, in the dialectric, merely guided by the wires.

While the effect at low frequencies may be smallish, I strongly believe that at the very least it is best to use twisted pair (tight waveguide) with a dialectric that is linear - typically both a plastic film such as polypropylene, polystyrene, teflon, or mylar, and if possible low density (e.g.: expanded foam).

What do you know, hgih frequency radio communications demands the same thing.

G

Hear is a science lesson and a couple of hour stream of consciousness from a audiophile and 40 year engineer with Belden.
Very useful dictionary and physics book described..

Watch "Galen Gareis, Engineer and Designer of Iconoclast Audios" on YouTube
https://youtu.be/v3nZM2BP9Ew

Tecnoid you should watch..Tom

Thanks for posting this link @theaudiotweak . Enjoyed it immensely, and should be required watching for everyone. Can't believe it only has 1000 views. 
According to millercarbon,

"Max Townshend has video you can watch showing clearly how impedance mismatches cause a reflection to travel back down the cable. Easy to see on the scope. https://www.youtube.com/watch?v=rUAKE6I3AmM&t=1s"

I started to watch the video but the first statement in the video: "The square wave and the sine wave are the same thing only with distortion" is complete lunacy. Anyone who knows elementary Fourrier theory knows that, so I couldn’t sallow any more pseudoscience and stopped watching.
Coincidentally there is a recent review in audio science review in which RCA cables from three distributors, with fairly wide price differences, are compared from both a performance and an auditory perspective. No significant differences were found. 

https://www.audiosciencereview.com/forum/index.php?threads/battle-of-rca-cables-mogami-amazon-monopr...

Of course we now know that we need "paranormal instrumentation", based on wave guide science, to tell the difference.
I started to watch the video but the first statement in the video: "The square wave and the sine wave are the same thing only with distortion" is complete lunacy. Anyone who knows elementary Fourrier theory knows that, so I couldn’t sallow any more pseudoscience and stopped watching.


Well no, but good job playing the typical forest for the trees blinkered audiophile. You will now proceed to ignore everything I say as well, not even try and understand, just like you did Max. So relax, this is not for you. This is for the open-minded readers capable of thinking for themselves.

The sine wave and the square wave are the same in that they both swing in amplitude. Within the context of the discussion we are concerned with the ringing caused by impedance mismatches. This is most easily seen with the square wave because it jumps in amplitude in one discrete step. This makes it easy to see the reflected wave impulse on the scope. Later on a similar test is run with a music signal. Here it is still easy to see the distortion, but harder for the eye to match it up with the impulse.

Now back to rhg88. You will have no way of knowing just how tiresome it is having to explain stuff- not to people willing to learn, but to people like you for whom this is all one big BSD contest, totally lacking any genuine desire to learn how to build a better system. 

If the day ever comes you open your mind to learning one thing that might register is that it never really happens when you are in argue with everything mode. Open to understanding mode works a lot better.
Coincidentally there is a recent review in audio science review in which RCA cables from three distributors, with fairly wide price differences, are compared from both a performance and an auditory perspective. No significant differences were found

https://secure.aes.org/forum/pubs/journal/?ID=979


That's funny AES did a study and found the opposite. I would trust AES over ASR any day of the week.



The AES paper doesn't tell you anything other than RCA and XLR, unbalanced and balanced can sound different. It didn't compare apples to apples. 

The square wave and sine wave are not the same thing the square wave simulates all audio frequencies and MORE, the and more is infinite bandwidth. The test shown in that video is not band limited to audio frequencies  The refections shown are above 50kHz. 
Coincidentally there is a recent review in audio science review in which RCA cables from three distributors, with fairly wide price differences, are compared from both a performance and an auditory perspective. No significant differences were found

What a surprise. ASR is deeply conflicted, and tragically misinformed. Just look at this: 
compared from both a performance and an auditory perspective

What do they mean, "both"? The whole purpose of high end audio is sound quality. The "auditory perspective" IS the only "performance" that matters. How it sounds is how it performs. They are one and the same. The whole point of high end audio is to reproduce the sound of music. Of this they are utterly oblivious. Deep, tragic confusion. Epic. Anyone wants to know exactly how NOT to get good sound, study ASR. The Gold Standard of ineptitude.
Most people think the sound come FROM their beloved chosen  gear...

When they dont like the sound they replace the gear and called that an upgrade...

Some measure the gear and call that "science", anything not measurable is "magic"...

These two different kind of people are deluded, some buy cables to upgrade and others bash them....There is no deep difference here ,they own their own blinders anyway and exist like foe exist for the sake and by the virtual existence of the other neighbouring foe....




I am afraid the truth is too complex for simple mind and too simple for complicated unclear mind :

The sound we listen to come MOSTLY from speakers/room/ears interaction...Not FROM the gear directly even if the gear play his own impact on the sound quality....

How do you measure that?

No way....

It is a dynamical CIRCUIT in hundredth of seconds between the speakers--->the room-->`the ears--> add a change here in the room treatment or a new Helmholtz resonator for example and listen another time... It is a listening experiment in a CYCLE of experiments.....Even a single straw at the right place with the right diameter may have an effect comparable to an upgrade....

Because a tone is NOT a playing note or chord, nor the timbre could be reduced to a spectrum, you cannot replace ears with a measuring apparatus....And you cannot replace acoustic laws and psycho-acoustic laws with a piece of new gear or a new cable to reach High quality sound....

Is it not simple to understand?


Coincidentally there is a recent review in audio science review in which RCA cables from three distributors, with fairly wide price differences, are compared from both a performance and an auditory perspective. No significant differences were found

https://secure.aes.org/forum/pubs/journal/?ID=979


That's funny AES did a study and found the opposite. I would trust AES over ASR any day of the week.


Do you have link to ^that^ AES study?
ASR? The guy admits he doesn't even listen, only looks at measurements. What is being reviewed? The distortion figures etc. are being provided but none of this is being related to the actual sound.


The measurementalists, measurebators and others of that ilk may find it interesting, informative or even useful, though I can't see how. I think his 'contribution' to the furtherment of audio is misguided, that is if he is indeed interested in actually contributing. What is taking place IMO is a great disservice as evidenced by the poster who felt reassured after reading the !@#$% review and is happy with his cheap amazon basics cables.
35 years ago Alex Gibson of 
FMS cables used the latest greatest Mac to run tests on his cables. A few were rise time and overshoot and echo return and reflection partially because a digital cable could be to short or to long for best measurement and best sound. Alex Gibson was  way ahead of his time. Tom
If you believe that wire has capacitive and inductive properties… and different wires have different capacitive and inductive qualities (which can instantly be show on even a cheap multimeter)……. THEN…. All the science you need re. Analog cables is two reactance formulas. 

Exactly. And this is just the beginning of all the variables (skin effects, dielectrics, etc.) that can affect sound. 
I’m afraid that while I do believe cables can sound differently, and have some testing with non-audiophiles to prove it, ALL of it, absolutely ALL of it I’ve ever heard is explained more simply by changes in frequency response than anything else.

To my knowledge, MIT capitalized on this more than anyone I know adding capacitors and inductors to do just this.

My belief, that’s opinion to the rest of you, is that equipment and speakers are more susceptible to minute impedance changes than we’d like to believe, and that all these cables do, if they do anything, is add enough capacitance or inductance, or maybe even less or more shielding, that it becomes audible.

I’ve read a lot of these wave guide and skin effect theories, all of which get debunked pretty handily. These oh so complex theories fail Occam’s Razor. Nor do I believe they’d be audible.

What I hear is minute changes in frequency response. What I see is a lot of audiophiles claiming increased resolution, clarity, imaging. Yeah, even cables which improve imaging is best, and simply, explained by changes in frequency response than anything else, but off we go chasing exotic explanations and materials. Well, by all means go ahead, don’t let me stop you.

Oh, and few audiophiles I know of actually want neutral. They chase the next flavor of sound like the next famous condiment. I'm not saying it's bad, but I do think that chasing flavors like this end up chasing sound which is far from the recording.  It's your audio sandwich though, please make yourself happy.

What I hear is minute changes in frequency response.




Thanks eric_squires for your great post indeed...
What I hear is minute changes in frequency response.

I'd say mostly correct.

One of the better explanations on how resistance affects frequency...

https://benchmarkmedia.com/blogs/application_notes/audio-myth-damping-factor-isnt-much-of-a-factor


It isn't news that resistance affects frequency response of the speaker which might be audible. These claims of waveguide and quantum whatever and an esoteric dielectric can make huge differences in cables with the same basic LCR is where I begin to have questions. That is an excellent read by Benchmark it shows how little the cable affects the total resistance. 

holmz308 posts
Do you have link to ^that^ AES study?


Cable Pathways Between Audio Components Can Affect Perceived Sound Quality​Author: Kunchur, Milind N.

Affiliation: University of South Carolina, Columbia, SC 29208, U.S.A.
JAES Volume 69 Issue 6 pp. 398-409; June 2021 
Publication Date: June 1, 2021

Here is the abstract:

The arena of highest fidelity in music reproduction, sometimes referred to as high-end audio, has many controversial claims and contentious issues. One such controversy is whether the cables and topology used to interlink components together make an audible difference. There seems to be a disparity between anecdotal experiences reported by audiophiles and published formal scientific research, as to what are the minimal changes in system configuration that can be audibly distinguished. With the motivation of bridging this divide—which may originate from differences in instrumentation and subject-listening conditions used by the two groups—this work utilized a high-performance audio system and an extended-duration listening protocol that more closely resembles audiophile auditioning conditions. With these measures, the present work was able to prove through direct psychoacoustic testing that two different analog-interconnect pathways can be audibly distinguished.

A PDF of article can be obtained here:  pdf file. (from the author's own web site: 

http://boson.physics.sc.edu/~kunchur//papers/Audibility-of-cable-pathways--Kunchur.pdf

I plan to read it more carefully when I have time, to make sense of the so-called  psychoacoustic results that are  included in Table I of the article.

Most of what i hear comes not from cables changes or gear changes....I am no more like deluded consumers or deluded sellers warring with each other...

Most of what i hear comes from the SPEAKER-ROOM interaction controlled or not...

My experience contradict most audio thread where people weight the merit of different piece of gear, ravished by the magical virtue of one chosen piece gear.... Silent about the room....
FYI, the technical definition of impedance is more than resistance. :)

And yes, in theory, the math says cables should barely matter... but experience has shown me that frequency response does change noticeably with cables.

So, either I buy into skin effect, waveguide, blah blah blah, or... I believe this is caused by gear and ears being more sensitive than the pure math shows. 

Given those two choices, I pick the latter, simpler version.
Post removed 
I started to watch the video but the first statement in the video: "The square wave and the sine wave are the same thing only with distortion" is complete lunacy.


OK, i would not state it that way. But...., step back. A distortion is a "change or difference in an electrical signal". Well, its a big difference no doubt, but i think that’s his point. Maybe a stretch, but valid/true. Just sayin’

djones514 already expanded on my concern with equating a square wave to a sine wave in the video.

The square wave and sine wave are not the same thing the square wave simulates all audio frequencies and MORE, the and more is infinite bandwidth. The test shown in that video is not band limited to audio frequencies The refections shown are above 50kHz.

Using a square wave as a test signal produces harmonics with frequency content well beyond audible frequencies, As djones514 already pointed out, the  refections shown in the video are above audible frequencies. maybe your cat and dog may be able to hear the difference, but not you.

from wikipedia:

The ideal square wave contains only components of odd-integer harmonic frequencies (of the form 2π(2k − 1)f). Sawtooth waves and real-world signals contain all integer harmonics.

A curiosity of the convergence of the Fourier series representation of the square wave is the Gibbs phenomenon. Ringing artifacts in non-ideal square waves can be shown to be related to this phenomenon. The Gibbs phenomenon can be prevented by the use of σ-approximation, which uses the Lanczos sigma factors to help the sequence converge more smoothly.

An ideal mathematical square wave changes between the high and the low state instantaneously, and without under- or over-shooting. This is impossible to achieve in physical systems, as it would require infinite bandwidth.

Animation of the additive synthesis of a square wave with an increasing number of harmonics

Square waves in physical systems have only finite bandwidth and often exhibit ringing effects similar to those of the Gibbs phenomenon or ripple effects similar to those of the σ-approximation.

For a reasonable approximation to the square-wave shape, at least the fundamental and third harmonic need to be present, with the fifth harmonic being desirable. These bandwidth requirements are important in digital electronics, where finite-bandwidth analog approximations to square-wave-like waveforms are used. (The ringing transients are an important electronic consideration here, as they may go beyond the electrical rating limits of a circuit or cause a badly positioned threshold to be crossed multiple times.)


So, either I buy into skin effect, waveguide, blah blah blah, or... I believe this is caused by gear and ears being more sensitive than the pure math shows.

Given those two choices, I pick the latter, simpler version.

The third column is the psychological aspect of expectation.
That is a whole bundle of interesting and confusing stuff.

It is so reassuring to know that the venerable and ever-righteous electricians are willing to take time out of their busy measurements and calculations to instruct we Dionysians on our hearing! I'm sure all thinking audiophiles will agree that we do sometimes listen to things that we shouldn't--image, depth, soundstage, music, etc.--and then act like jerks because the electricians can't hear anything they can't measure. The work of the electricians is indispensable to anyone participating in the audio marketplace and we all need to appreciate their endeavors while we wait for them to find the square root of two.

I had an electrician help me wire my house. Whole new service, new panel, the works. Didn't just do it, helped me do it. Learned a lot. But I am no electrician. Read on to see what I mean.

Building inspector comes out and to me it was like every word out of his mouth just got dumber and dumber. I stood dumbfounded as my electrician nodded and went along.

Afterwards I asked, is it me? Or is he totally full of it? Because this is like a full day's work just to make this moron happy. 

And he said yes. But if we argue he can invent even more and so we will do all his stupid senseless waste of time stuff. 

This then is the life of the electrician.

 

So this Greg weaver guy thinks that "wave propagation" trumps resistance and capacitance and he also believes that digital cables will sound better using "wave propagation" as the design philosophy. Makes my head want to explode. This guy is a master advertising writer, heck if I was selling cables, power cords or anything in that realm and wanted to snooker unsuspecting customers, I’d hire him in a New York minute.

BillWojo

Jeff stresses that it is not important to understand the math so much as it is to understand the concept of electrical energy flow that the math describes.

 

Going out on a limb here and guessing Jeff understands the concept poorly and the math even less. What he wrote is good entertainment though. There was another guy schlogging his own unique and flawed ideas about cables a few years back. He didn't understand the math either though numerous people tried to explain it to him. Spread it on tons of forums. What a mess.

 

As long as there are disciples there will be priests.