First, I'm not sure anybody, including knowledgeable cutlers, can even derive the meaning of just what a "burr" is on a knife. Or how to fix it, or why it's there, or what tools are needed, or even why most knives are made of metal.
mete, a member here could tell us.
I am not a metallurgist.
I survived chemistry, the math portion was difficult for me.
Basically everything is made up of molecules, some are bigger than others. Some are naturally comprised of more than one molecule.
Water is H20, and if one adds one more molecule of oxygen , one gets Hydrogen Peroixde, H202.
I hope I remembered that correctly, if not, someone please correct me.
The principle of what I am trying to convey is intact though.
If one looks under extreme magnification , one sees metal, wood, plastic, skin, hair, nail...everything is "not smooth".
One might have "smooth skin", under extreme magnification, the skin appears to be extremely rough, coarse, with "peaks and valley's".
Same applies to a "smooth" glass marble, . If one uses enough magnification, one will see "polish" marks on the finest glass, finished out to the human understanding of "nth degree".
WE humans can only detect so much.
Metal is made up of various molecules, and some when done and "treated" as they are for various reasons are more "fine" than others.
Under extreme magnification, these knife edges, made of "finer steel" and sharpened , and polished, will appear like ragged rock crevices on a mountain.
So one can only get to certain "nth degree" of "sharp" and "polished".
The "burr" is essentially these molecules not exact in meeting together.
They never actually meet "exact" to form a perfectly smooth , exact edge.
They cannot, never will, as there will be "crevices" and "pits" just like a mountain ridge.
We get a "burr" from tang to tip, to allow us humans to know that side of the knife edge has been attended to. Everything on that side of the edge, has to the best of our ability , with whatever "grit" is the same with that "grit.
It is not perfect, just we what we want is everything to be the "same" to the best of our ability with that grit, for that metal, at that time.
Then we repeat on the other side to raise another "burr". This is so we know, we have done the best we can with the limits that exists with metal, its peaks, valleys, and crevices due to molecular structure we have "met the other side" .
Then we continue removing metal, in hopes of the edge "meeting" to a "edge" that will cut what needs cutting.
That edge is never to going to be exact. In use, it will be affected.
Hence the reason one is wise to strop, as sometimes a strop being used will get these burrs to line up more straight, get the molecules to be less pits, peaks and valleys.
Sometimes it requires a bit of grit to get this edge back.
Polish can both hurt and assist these pits, peaks, valleys and crevices.
It depends on molecular structure of the metal and how it was made, treated and its shape, or geometry.
The polish can only "reach" so much of these peaks and valleys. So an edge might "slide" over a polish area and "catch" on a deep ugly gnarly crevice, and tear out some of that crevice.
Now if the edge for that steel, with its structure and properties is not sharpened that fine, and not polished that fine, the edge will "transition as it cuts" to the deep crevices.
Err...I am trying to convey the idea of toothy graduations leading to the deep gnarly crevice and back out, so as to not "yank out a chunk of crevice" which affects the integrity of the edge.
Nicks, chipping and other problems.
It might be best for the metal to be polished "some", a "bit more" or "quite a bit" as one is never going to get a "perfect polish" , it just is not possible, only possible to what a human can detect to "nth degree".
You are standing on a rocky ridge, you are navigating that ridge.
If that "edge" is too "polished" you have difficulty in getting a good foot hold, or handhold.
Oh the rock has grain, you can see the structure, pits, crevices, peaks and valleys, but it is too polished to get a firm hold.
If you are crossing a small stream, you can see the "smooth rocks" and know these too are slippery.
They may be 'smoother' they are not perfectly smooth. You look for a less smooth, actually a more "toothy" rock, or portion of the stream to cross so you will slip and fall.
Hand saws are another good illustration.
They made umpteen types of hand saws.
Think of you knife edge and ...
Look at the teeth. Some saws have more "peaks and valleys" the teeth are bigger and some are more close together than others.
Some have smaller teeth, not very deep , and these two vary as to how close together they are.
Then you have saws, that have both large and small teeth, and these too vary as to how close together they are.
Now you know why grandpa has all those darn handsaws and grandma cringes when Pa is going to town for "another saw" and arrives home with "three more saws". *lol*
These saws represent you knife edge.
Those teeth patterns represent various steels of molecular structure, treated as they are to handle various tasks.
We don't have one saw with one tooth pattern to handle every task.
If "perfectly edged" and polished was the best, then saws would have no teeth.
You are not going to cut wood using the opposite side of the saw where the teeth are...
You might still nick or cut yourself on that other side, and no matter how "smooth" it appears, the edges will not meet perfect, there may be a "burr" , or that "wire edge" that cuts you as you get the saw down to use.
*smile*