Originally posted by Splinemodel
To some extent this is the rationale behind quantum mechanics, which is a subject where I'm not even a casual expert, and I won't make much of a claim.
But I will say that, at the subatomic level, energy tends to operate in quantized amounts. This has been observed in many classic experiments of the 20th century.
Gaaaaahhhh! Zeno's Paradox has nothing to do with quantum mechanics!
Here it is again, restated: Since an arrow flying towards a target must traverse half the distance, then half the distance remaining, and half again, and we can continue to halve the remaining distances forever, the arrow therefore can never reach its target.
This is not resolved by talking about quarks, or electron clouds, or the uncertainty principle, or anything
in that neck of the woods. The arrow is not imagined to enter, in the last pico seconds before hitting the target, some kind of boundary ambiguity that resolves the paradox, because that is not remotely what the paradox is about-- unless somebody is prepared to argue that, in fact, the arrow never does reach the target and continues to move through an infinite series of bifurcations, forever.
Which it doesn't, and is in no way a condition suggested by quantum mechanics.
The paradox is simply, and again, about the difference between an infinite sequence tending toward limit x
, where x
is the distance to the target, and the real world movement of the arrow. The paradox hinges on the ambiguity of natural language being switched for mathematical description, not
on some inherent ambiguity in the idea of "things touching".