Is there a “vibrational quality” to homeopathic substances?
No, there is not.
To clarify what I believe is being asked:
One of the big holes in the whole theory of homeopathy is that there is a finite limit to the degree to which a substance can be diluted, and still exist. It is common for homeopathic products to be so highly diluted that there exists very, very, very little chance of so much as a single molecule of the active ingredient being present in a dose of the product. Obviously, if none of the active ingredient is actually present in a dose, then there is no way that this ingredient can have any effect.
To get around this obvious hole in the whole concept of homeopathy, proponents have proposed some very outlandish, anti-scientific theories that a molecule of water, or sugar, or whatever other inert ingredient is used to dilute the active ingredient, retains some “memory” or “essense” or “vibration” of the active ingredient, and is thus able to carry the effect of the active ingredient even in the absence of that ingredient.
I believe that it is to this theory that the “vibrational quality” asked about in this question refers.
This theory is, of course, no less absurd, and no more compatible with any genuine science, than the basic concept of homeopathy itself is. Further, this theory introduces some new holes of its own. To repeat a quote I cited elsewhere, from http://www.homeowatch.org/basic/infinitesimals.html
Modern proponents postulate that the solution retains a “memory”
of the substance. If this were true, every substance encountered
by a molecule of water, alcohol, or milk sugar might imprint an
“essence” that could exert powerful and unpredictable medicinal
effects. Moreover, water is never 100% pure, and impurities can
enter the solution from the container or surrounding air. So if a
few molecules could determine how a remedy acts, there is no
reason to assume that the original substance will prevail over
the impurities encountered along the way.
Oscillococcinum was discovered by Joseph Roy (1891-1978) , a
French physician who was on military duty when the Spanish flu
hit the world in 1917. He examined the blood of victims and found
a strange microorganism: a bacterium that consisted of two
unequal balls that performed a quick vibratory motion. Roy called
them oscillococci and thought they could vary much in size.
Sometimes they shrunk so much that he couldn’t see them with his
microscope. But they could also grow and get one or two more
Next Roy discovered these bacteria in the blood and the tumors of
cancer patients, in syphilitic ulcers, in the tubercles of
tuberculosis patients and in the pus of gonorrhea sufferers. Also
people who had eczema, rheumatism, mumps, chickenpox and measles
turned out to harbor this universal germ.
It is not clear today what Roy saw through the eyepiece of his
microscope. But one thing is certain: he did not see the causes
of those diseases. Rheumatism, eczema, and most forms of cancer
are not caused by microbes, and mumps and measles are caused by
viruses, which can’t be seen with an ordinary microscope.
Moreover, no other bacteriologist has ever reported seeing Roy’s
special cocci again.