Tempting though it is to plagiarise someone else's explanation of the theory, let us APPLY SCIENCE instead. We take a sample of that explanation and dilute it with a 10-times-larger sample of biologically-inert words, shaking the mixture violently ('succussion') to randomise the order:
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Vikings were well aware of all this. Here Thor prepares a remedy for axe injuries by succussing a 10C dilution of axe steel.
However, no-one ever described Thor as the brightest of the Æsir and he was never entirely clear on the concept of dilution, i.e. you don't have to drink the entire diluted dose.
Here Ragnar Hairybreeks visits the homœopathic apothecary to pick up a prescription of Berlin Wall to treat his feelings of powerless, oppression and negative energy.² The depraved perspective of the materia medica on the shelves is Lorentz contraction, a relativistic effect indicating that the woodcut artist was travelling close to light speed at the time.
Via Orac we learn of a homœopathic remedy consisting of diluted magnetic monopoles. I have no idea what symptoms it treats. The same German supplier also deals in Lux Solis britannicae, i.e. a preparation of English sunlight, which I would have thought was already quite homœopathic enough. So far no-one offers a homœopathic 12X dilution of "petrified hadrosaur pelvis containing a .375 bullet",³ which would probably be good for treating something -- unwanted time travel perhaps -- though the hard part would be translating it into Latin.
¹ For contemporary provings it is enough for the panel to meditate upon the text without reading it and delineate its effects that way.
² 'Berlin Wall' is a preparation of a piece of concrete, stone, steel and surface graffiti from the actual wall, ground up with lactose in a succession of 1-in-50000 solid lactose dilutions. Available in solid or liquid form.
³ Calibre fixed in updates.