If there are alternate universes which have different fundamental constants such as c, is it possible that pi could be different? what would this look like?
>>7958786
well yes but if c was different then all of the other fundamental constants would probably be different as well.
>>7958833
c changes in water but circles are still circles bcuz pi = 3.1..
>>7958833
Not at all necessarily all it would change is any equation with c factored in
C isn't a constant (VSL).
>>7958786
We've been over this before.
In the taxicab universe, pi=4.
You can look up unit circles under various p-norms like this anon with the 1-norm >>7958877
>>7958877
Incorrect
Pi is only equal to 4 if you define a circle as something that it isnt. Its made of a curve not a collection of straight lines.
>>7959034
In taxicab space, that's just how a circle looks. There are no straight lines per se.
All of the surrounding points are actually equidistant because of the way the taxicabbing works.
Basically imagine you can only follow the grid, not cut through the white parts. You have to go left->up or up->right to get to the next point, meaning it's actually two apart.
Diagonal points count for twice as much as orthogonal.
>>7959034
If you define a circle to be a line of constant distance from some point, then under the taxicab metric he's correct.