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.
The coastline paradox is often criticized because coastlines are inherently finite, real features in space, and, therefore, there is a quantifiable answer to their length.[17][19] The comparison to fractals, while useful as a metaphor to explain the problem, is criticized as not fully accurate, as coastlines are not self-repeating and are fundamentally finite.[17]
Coastlines are not self repeating and they are fundamentally finite.
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
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