My favorite weird physical scaling limit in computing is that you can't tile a 3D networked grid of computers indefinitely because you eventually create a black hole: https://en.wikipedia.org/wiki/Schwarzschild_radius#Calculating_the_maximum_volume_and_radius_possible_given_a_density_before_a_black_hole_forms. Whereas you can in theory tile the computers in a 2D network indefinitely (edit: nevermind, you have this problem in 2D too, so you need 1D tiling).
Schwarzschild radius - Wikipedia

@pervognsen I misread the Compton Limit as Computation Limit and thought that they somehow linked information theory with general relativity.