In this specific case, it is useless to go through quantum physics and Planck length to solve the Zeno paradox.sen-no-sen wrote:Physically, such a phenomenon does not make sense, because if we subdivide matter: molecule, atoms, particles, quarks, we arrive at an ultimate stage:Planck's length, indivisible by nature and where the concepts of time and space disappear ... practical because it allows you to scratch your nose or go from point A to point B!
After the nth cutting, the segment to be traversed has a length 1 / (2 ^ n).
The time taken to traverse a segment of length L at speed V is L / V.
The time taken to traverse the first N segments is therefore equal to 1 / V * Sum of 1 to N of (1 / (2 ^ n)).
It turns out that the above sum converges towards the value 1 when N tends to infinity ... and therefore that the time taken to traverse an infinity of segments is finite (and is worth 1 / V)