3 ms·
So in essence, distances are basically discrete units thanks to the Planck Length? (Doesn't this have the profound implication that the Coastline Paradox[0] bec
by klingonopera 7y ago
So in essence, distances are basically discrete units thanks to the Planck Length? (Doesn't this have the profound implication that the Coastline Paradox[0] becomes theoretically solveable?)
Naturally, this doesn't necessarily imply that time, too, has to be discretely divisable, so I think I can understand how the person who studied physics sees it...
[0]: https://en.wikipedia.org/wiki/Coastline_paradox https://en.wikipedia.org/wiki/Coastline_paradox
EDIT: On the Coastline Paradox, it's stated on the Wikipedia page (I had just thought, and linked, without reading):
> "As the length of a fractal curve always diverges to infinity, if one were to measure a coastline with infinite or near-infinite resolution, the length of the infinitely short kinks in the coastline would add up to infinity.[3] However, this figure relies on the assumption that space can be subdivided into infinitesimal sections. The truth value of this assumption—which underlies Euclidean geometry and serves as a useful model in everyday measurement—is a matter of philosophical speculation, and may or may not reflect the changing realities of "space" and "distance" on the atomic level (approximately the scale of a nanometer). For instance, the Planck length, many orders of magnitude smaller than an atom, is proposed as the smallest measurable unit possible in the universe."
EDIT2: > "smallest measurable unit possible" ...oh no... we still have to go deeper!