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Re:Vintage-Style Map of the Mandelbrot Set by hrnnnnnn on Thursday December 15, 2022 @06:07PM (#34007110)
If there's a minimum length (the Planck length?) then space is discrete and the measurement bottoms out at some point, it would be infinite if space was continuous and infinitely divisible.
Re:Vintage-Style Map of the Mandelbrot Set by causi on Friday December 16, 2022 @01:35AM (#34011287)
Bingo. There are a finite number of atoms in a coastline therefore there is a finite length. I suspect the calculus to derive it isn't even all that hard.
Re:Vintage-Style Map of the Mandelbrot Set by hutzlibu on Friday December 16, 2022 @05:46AM (#34013022)
"There are a finite number of atoms in a coastline"

And atoms do not consist of smaller parts?

Re:Vintage-Style Map of the Mandelbrot Set by causi on Friday December 16, 2022 @05:57AM (#34013109)
There are also a finite number of quarks.
Re:Vintage-Style Map of the Mandelbrot Set by hutzlibu on Friday December 16, 2022 @06:29AM (#34013373)
Maybe. So can you meassure it then?
Re:Vintage-Style Map of the Mandelbrot Set by int_19h on Saturday December 17, 2022 @04:04AM (#34026136)
Do quarks even meaningfully have a position "inside" the atom?
Re:Vintage-Style Map of the Mandelbrot Set by hutzlibu on Friday December 16, 2022 @05:55AM (#34013098)
"If there's a minimum length (the Planck length?) then space is discrete "

"The Planck length is the scale at which classical ideas about gravity and space-time cease to be valid, and quantum effects dominate. "

(https://www.physlink.com/education/askexperts/ae281.cfm)

This does not say, that space is discrete, it says that our concept of space does not make sense anymore at sizes that small.