If you've been around the block a while you've seen the words "Scientific" as applied to trumpet playing. Most often found in the context of playing high notes with better endurance. Despite all these claims there are actually no brass playing systems that can honestly be called scientific. None nada.
Worse what we get from these are irrelevant science. Things like the harmonic series, "closed tube resonance", "faster air", "standing wave" "upstream", "downstream" etc. Mostly all B/S.
Lets take apart the silliness of why a concept such as "standing wave" is useless advice. First of all it is probably 100% true that a standing wave occurs within a brass instrument. It is however a matter IRRELEVANT to playing the horn. Example:
Lets say we wanted to learn a highly useful technique such as advanced breath control as shown in "Clarke technical Studies for Cornet" By Herbert L. here: Technical studies for the cornet - Herbert Lincoln Clarke - Google Books
And because we're discussing breath control this would include air support. Should we then preface our subject with words like this?
Nearly all of the Earth's atmosphere is made up of only five gases: nitrogen, oxygen, water vapor, argon, and carbon dioxide. Several other compounds also are present. Although this CRC table does not list water vapor, air can contain as much as 5% water vapor, more commonly ranging from 1-3%. The 1-5% range places water vapor as the third most common gas (which alters the other percentages accordingly). from What Is the Chemical Composition of Air? - Elements in the Atmosphere
See? It's all B/S. But yet we'll STILL see and hear folks attempt to bring IRRELEVANT matters such as standing wave and other silliness into the fray. They do this to impress you with their "knowledge" of the matter all the while forgetting that what they are presenting is irrelevant.
I do not need to know that it takes eight minutes for the sun's rays to reach me on planet Earth. Regardless of how long they take or how far they come from they still wake me up in the am.
So does it matter to a trumpet player that a G# above High C is 13th harmonic of the "standing wave"? What if I'm mistaken and it's really the 12th or the 14th harmonic ? OH MY GOSH I have REALLY steered the poor student in the wrong direction this time...
OK sorry for the
cynicism. And the tone of this thread altogether. I do think however that it is high time that those who pretend they know something about physics at least examine their thoughts to see if (that despite the possible accuracy of their statements) these thoughts provide any value at all to the aspiring trumpet player.
I will state that unless we're talking about the notes above a High D or so (played with solidity) that the average trumpet player will probably not even need to know any physics applicable to the trumpet at all. AT ALL!!! Most the time you're better off teaching them the avoidance of over training and a good exercise/performance diet. Not physics.
In my 35 years or so of teaching and evaluating trumpet players I've found only one person who could not play the basic rudiments of the trumpet without some special assistance involving my knowledge of the physical aspects related to embouchure. He was a sax major learning trumpet techniques in college. At that time I was the only trumpet major there who got him to make a half decent tone the whole semester.
Where physics matters is usually if not always the notes above High D and more specifically above the High G. Now if you were to get an honest response from most members of this forum you would find that the majority of them DO NOT HAVE A SOLID HIGH D. at all.
Thus any discussion of even rudimentary physics related to the trumpet is probably irrelevant. In fact and i will take this further: Telling your average student to "JUST TONGUE AND BLOW" with sufficient emphasis will fix 9 out of 10 of them.
I've seen trumpet players with what i would describe as significant embouchure faults still play a solid F ABOVE High C. Merely by giving them a favorable mouthpiece for the work. I suppose that mouthpiece design is physics too. But very simple physics.
So save the "physics" for explaining continental drift or lunar orbits. Unless you really know you're stuff about it relative to the trumpet that is. And then it generally only applies to the notes above or well above High C.