On the topic of half life and dilutions:
Assume, for the sake of argument, that there are initially 64 molecules of a homeopathic ingredient in a given quantity of water.
Suppose that the following procedure is used to dilute the homeopathic solution (which homeopaths will tells us should only make the solution more potent - for some pseudoscientific reason):
We start with our 64-molecule solution and toss out half of it. Assuming that the molecules are evenly mixed into the water (we make sure we stir the solution thoroughly at each step) then in the tossing-out process we reduce the number of molecules of the homeopathic substance from 64 to 32. That is, 32 molecules get thrown down the drain with half of the original water.
Then, we top up the remaining solution to its original level, with pure water. That is, we now have 32 molecules of the homeopathic ingredient in the same quantity of water that we started with originally.
Now repeat the process. After stirring thoroughly, throw out half the solution and top up to the original level with fresh water, again. This time we expect that 16 molecules of the homeopathic ingredient will remain.
Repeat. After the third dilution, 8 molecules of homeopathic substance remain.
Repeat. After the fourth dilation, 4 molecules of the homeopathic substance remain.
Repeat. After the fifth dilution, 2 molecules remain.
Repeat. After the sixth dilation, only 1 molecule remains.
Repeat.
Now, at this stage, there's a 50% chance that the last remaining molecule of homeopathic substance is in the half of the solution that gets tossed down the sink in the next dilution, leaving zero homeopathic molecules. There's also a 50% chance that the last remaining molecule is in the half of the water that doesn't get tossed, so this dilution makes no difference and we still have one molecule left. But, we can say for sure that there's a 50% chance that there are no molecules left after the 7th dilution.
If we continue the process, then after the 8th dilution, we can say that there's a 75% chance no homeopathic molecules will be left in the solution. After the 9th dilution, there's a 87.5% chance. After the 10th dilution, there's a 94% chance that no molecules remain. And we can keep going for as long as we like, just to be really sure that no molecules of the homeopathic substance remains.
Now, in reality, the levels of concentration specified by homeopaths for "homeopathic solutions" guarantees, with very high confidence (based on the kind of mathematical reasoning given above) that the ready-to-deliver homeopathic solution will have ZERO molecules of the homeopathic substance in the water.
This is why homeopathy is bunk.
Some homeopaths understand this argument. To try to get around it, they invent spurious notions like claiming that water has a "memory" for substances that used to be dissolved in it. It doesn't matter, they tell us, if there are no actual homeopathic molecules left in the solution, because the water "remembers" that there were molecules in it at some point in the past. You just have to beleive that water magically remembers what used to be in it!
It's a bit of a mystery why water doesn't also remember that it used to have shit in it, or harmful chemicals or poisons, at some time in the distant past. I guess we'll have to ask the homeopaths why that is.
In fact, homeopathic preparations of lethal poisons have been prepared and drunk by many skeptics, with no adverse effects on their health. This also debunks homeopathy, because if homeopathy worked then those poisons should have become more potent as they were diluted, in the same way that homeopathic "medicines" are supposed to somehow become more potent when diluted.
I don't see KUMAR5 arguing that harmful poison molecules can "adsorb" onto surfaces of containers and thereby kill people, according to homeopathic principles. That's probably because that kind of thing is never observed in practice. Nor are any actual homeopathic "cures", of course.