1484
rating
1
debates
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won
Topic
#3493
movement does not exist
Status
Finished
The debate is finished. The distribution of the voting points and the winner are presented below.
Winner & statistics
After 2 votes and with 3 points ahead, the winner is...
loko
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1516
rating
2
debates
75.0%
won
Zeno’s arrow paradox says that motion is impossible. However quantum mechanics says that the underlying assumption is wrong.
Assumption: in any given moment, an arrow in flight is motionless. Then it remains stationary at every moment. Thus the arrow never moves. Mazur, Joseph; The motion paradox (New York: Dutton), p. 4-5.
Here is quantum mechanics explanation:
One striking aspect of the difference between classical and quantum physics is that whereas classical mechanics presupposes that exact simultaneous values can be assigned to all physical quantities, quantum mechanics denies this possibility, the prime example being the position and momentum of a particle. According to quantum mechanics, the more precisely the position (momentum) of a particle is given, the less precisely can one say what its momentum (position) is. This is (a simplistic and preliminary formulation of) the quantum mechanical uncertainty principle for position and momentum. “The Uncertainty Principle”, SEP. https://plato.stanford.edu/entries/qt-uncertainty/
It appears that quantum mechanics says that the initial assumption is wrong. The arrow paradox assumes certainty of both position (stationary) and momentum (none). That premise allows the distances over a range of moments to add up to zero. But quantum mechanics says that part of this assumption can never be known.
(1) If the position of the arrow is known to a certainty, then its momentum is unknown. The arrow might be moving at that moment. The possibility of movement resolves the paradox by allowing for momentum at any given instant.
(2) If the momentum (zero) is known to a certainty, then its position is unknown. The arrow might be in any of a range of places. If the arrow might be anywhere over a range of places, then it must be moving.
I suggest learning Physics. No, that is now how you apply calculus to physics.