What is homeopathy?
Dr Samuel Hahnemann published his theory of homeopathy (in 1810, so this is not something new), from the Greek homoios (same) and pathos (suffering).
What is the approach?
Remedies are diluted on the decimal scale (x) with a dilution factor of 1:10, or on the centesimal scale (c) with a dilution factor of 1:100. A decimal dilution of 6x is said to equal one part in a million; roughly equivalent to a pinch of salt in a bath of water. On the centesimal scale, a 12c potency is comparable to a pinch of salt in the Atlantic Ocean. After each dilution, the mixture is shaken vigorously (known as succussion) to transfer energy from the substance and potentiate its healing properties. According to one theory, the diluted liquid keeps an electromagnetic footprint or memory of the original substance.
Now, in a 3D Newtonian worldview, this is clearly bullsh*t. But of course, we don't live in a 3D world. The relationship between M-brane theory and homeopathy is that the "deeper structures" are impacted by the changes to the 3D interface. The question is, is this true? The only way to determine its validity is by experiment. An nD reality perspective admits that homeopathy might have some validity, therefore experiments to validate it are required. A 3D perspective starts from the a priori perspective that it is a scam and bad science, and no one wants to do the experiments because of course no scientist wants to be a National Enquirer, World Weekly News, trailer park kind of scientist.