See who's funding or advertising in a publication and it'll give you a pretty good idea of what to expect and what not to expect. The onus of proof against homeopathy is on you, I feel.
Quantum mechanics, statistical thermodynamics, and the ergodic theory preclude the possibility of water "remembering" a molecule which was present previously but is no longer in solution. Forget big pharma...what do you think is more likely: that there is some as-yet-undiscovered fundamental principle of physics that allows homeopathy to work, or that practitioners of homeopathy are playing on the well documented and sometimes surprisingly strong placebo effect?
It works sometimes through the remembering (and syncing the patient's body to it) of an unknown mechanism, sometimes the placebo and sometimes both (I also think it fails badly too). Homeopathy is supposed to be vibrational medicine. I do think it will be vindicated the better our scientific instruments become (it seems an inexact science, shelved, but with the possibility of a renaissance.) Also, there'd be well produced dilutions and poorly produced ones, and some people are more sensitive and open to such approaches. Placebo effect works in conventional medicine too. The body can overreact to a virus, it can overreact to a dilution: in fact that's what it would be doing wouldn't it.. it's a complete overreaction to the shadow of a substance. Ironically, is that so different to a placebo cure anyhow?
> For the special class of ergodic systems, the time average is the same for almost all initial points: statistically speaking, the system that evolves for a long time "forgets" its initial state.
Water, at room temperature, is a member of this special class of ergodic systems. In that sentence, "statistically speaking" refers to the fact that we describe water on a molecular scale as a statistical system (it does not mean that sometimes the system remembers). Also, "a long time" in statistical mechanics is taken as a time period much greater than the average time it takes for any two random water molecules to collide...in other words: "a long time" == nanoseconds.
By the ergodic theorem, once you remove a molecule from water, it forgets that molecule was ever present within nanoseconds. There is nothing in the spatial organization, the molecular translations, or any of the modes of vibration that would give you any clue that molecule had been present. In essence, the information of that molecules presence is erased. We call this entropy.
Ergodic theory is a mathematical theory that is key in describing systems in statistical mechanics. This is not a question of better scientific instruments. You would need to invalidate 100+ years of scientific knowledge for homeopathy to work as advertised.
Edit: In all fairness, I guess I should clarify the "statistically speaking" bit. Technically, there is a non-zero probability that some bit of water will "remember" a molecule that was previously disolved in it. The nice thing about statistical mechanics is that it allows you to calculate exactly how frequently this would be expected to occur. The answer is that you would expect a volume of 1ml of water to "remember" for at least 1 second somewhere in the universe less than once...not once per minute or once per hour, but once per the lifetime of the universe. So, yeah, homeopathy is complete BS.
Add: Google CSE on those publications http://www.google.com/cse/home?cx=007606573058381115019%3A5j... but the container implies the content..