Regarding the tetraneutron issue: I would be interested if they could repeat the experiment which supposedly detected this. My guess is that this was a statistical anomaly. It is highly unlikely 4 neutrons could arrive more or less at the same time at the same place in the detector, but the alternative, that something is wrong with the Pauli exclusion principle, may be even more unlikely. Accordingly I would seriously bet if they did the exact same experiment again (shooting beryllium atoms at a carbon target) that they would not detect any "tetra-neutrons".

With things like this, I always remember something Sherlock Holmes said in 'A Study in Scarlett' I think it was though not quite sure where it was exactly - "Once one has eliminated the impossible, whatever remains, no matter how improbable, must be the case."

Here, it strikes me that though the anomaly seen was very improbable, the alternative idea that the Pauli exclusion principle and hence the standard model is wrong in some way is tantamount to impossible. It is far easier for me to believe what they saw was just a fluke, than to think there is an issue with the Pauli exclusion principle. Of course, if they can repeat the experiment, that is something else again, and I suppose then further inquiry would be warranted.