The other side of the theory is the positron hidden in the proton. I assume a particle collider should be able to falsify this.
But it turns out antimatter isn’t supposed to actually move backwards in time but follows the same causality as everything else. It’s just that they represent their matter pairs configuration mathematically by reversing the time orientation. This isn’t super obvious but it’s very much different than going backwards in time literally. Sad!
Also even if we could, that would only describe the practically and theoretically observable universe, which doesn't rule out other places looking very different (on its own)
So, yea, it would have to be outside the observable universe in which that means we can do no empirical science on it therefore it not being real to us.
Dark matter represents far more of the universe than 'light' matter by volume if our physics is correct, so by that most galaxies are mostly dark matter by default. We have found a few very small ones that don't seem to be.
With this said dark matter still influences the curvature of space time so its not completely invisible. We could see a dark galaxy because it would alter the images of galaxies behind it with things like Einstein rings and crosses.
Is this a diagram of particles interacting or a single thread weaving through time? Pick your metaphor.