Friday, December 15, 2023
how do you construct ... in space
Using a light ruler and a small local cube, you can construct the vertices of a large cube by sending out light rays of calculated lengths, and then joining up the dots / ends. Nice and simple, but will it be a cube?
If space is empty, then probably. But what if space has a black hole in the middle, then most likely not.
Will the surfaces be defined in any way and are they flat?
Everything seems to get rather messy if one allows there to be mass around the place.
The whole idea of volume rather falls apart when thinking in terms of flat surfaces. Indeed they probably cannot be defined.
Maybe surfaces of spheres could be defined. But even then the area of the surface might not be continuous. And the surface may overlap itself. Might become infinite. The funny thing is that it all looks perfectly spherical and finite to the observer at the centre
More to follow
Martin
