this post was submitted on 25 Aug 2024
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Arnt most borders fractals so can any border be the largest?
considers
Well, they aren't fractal, that's for sure.
It is true that we could make borders more-closely-map to physical features, and that would increase the length somewhat.
And we can define borders however we want, so that's up to us.
But ultimately, matter is quantum, not continuous, so if we're going to link the definition of a border to some function of physical reality, I don't think that we can make a border arbitrarily long.
Coastlines are indeed fractals, and a similar argument could be made for any border defined by natural phenomena (so like, not the long straight US/Canada border).
Coastlines are not self repeating and they are fundamentally finite.
I believe they were referring to this, where technically a coast could be seen as similar to fractals
https://en.wikipedia.org/wiki/Coastline_paradox
Literally from that page
Fractals are not necessarily self repeating, they just contain detail at arbitrarily small scales.
Which a physical space cannot fulfill
Fractals are not required to be self-repatiing. For example, the Mandelbrot set is a non-self repeating fractal pattern.
And please elaborate on how they are fundamentally finite.
Coastlines exist in the real world, they are by definition finite structures. You can only zoom in to them so far before the structure is no longer a coastline.
Thats making a lot of assumptions about quantum physics
An atom is not a coastline, even if it is a piece of one