4 ms·
I don't think you understand...let me give you a link: http://en.wikipedia.org/wiki/Ergodic_theorem http://en.wikipedia.org/wiki/Ergodic_theorem The relevant p
by jballanc 15y ago
I don't think you understand...let me give you a link: http://en.wikipedia.org/wiki/Ergodic_theorem http://en.wikipedia.org/wiki/Ergodic_theorem
The relevant portion:
> 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.
- adrianwaj 15y agoIt's BS.. according to the ergodic theorem. I am happy discuss this off-site.. I don't think it'd progress much further though.