You probably can, but 99.9% of users won’t.

You can install CalyxOS or other custom ROM

I thought instance admins had to approve any new created community. Allowing anyone to create a community without any supervision sounds dumb.

Following the manual to the letter

Not true. They filled a lawsuit against Yuzu and Citra and the developers had to pay 2.4 million dollars to Nintendo. They probably threatened the Ryujinx dev to do the same.

The important thing here is that this is about a quasi particle, something that behaves sort of like a particle but is not (like a hole in the electron distribution), in a 2D crystal lattice. This only happens because the lattice is not isotropic, you see a different pattern depending in the direction you look, so having properties change with direction is not totally unexpected. We already have materials with anisotropic thermal conductivity for example.

This won’t happen in vacuum as vacuum is isotropic.

It depends which metric definition are you using. The one I wrote is a pseudo-Riemannian metric that is not positive defined.

Normally physicists use that generalized metric definition because spacetime in most cases has a metric signature of (-1, 1, 1, 1). Points with zero distance are not necessarily the same point, they just are in the same null geodesic.

You can make something like this properly by defining a different metric. For example with metric dl² = dx² - dy² the vector (1, 1) has length 0, so you can make a “triangle” with sides of lengths 1, -1 and 0.

That should be an approximation. To get exactly pi the range of both integrals should be from minus infinity to infinity like this. It’s the integral of the 2D Gaussian, which is fairly known.