Gauss's Principle of Least Constraint (2017)
preetum.nakkiran.org
preetum.nakkiran.org
i.e. There are no events (interactions) that could happen, but just don't.
Could, and it does happen. Observed about sixteen years after the first direct observation of a neutrino interaction:
https://www.worldscientific.com/doi/abs/10.1142/S02177323930... (PDF directly at https://cds.cern.ch/record/248487/files/ppe-93-065.pdf )
More modernly and generally, neutrino-lepton scatterings are part of the weak interactions in the Standard Model: https://www2.ph.ed.ac.uk/~playfer/PPlect11.pdf
(and of course there is an even weaker gravitational interaction between leptons and neutrinos that we cannot demonstrate directly with current technology)
It seems that your interpretation of the rule is actually an assertion of the many world's interpretation of quantum mechanics. If you don't mention that caveat then you're actually asserting determinism in this particular universe.
It's a statistical statement about many particles (or field-values in a sufficiently large spacetime(-region)-filling set of quantum fields), not an interpretational statement about a single particle.
In the many-worlds interpretation of quantum mechanics, the principle has a more literal meaning: that every possibility at every interaction which is not forbidden by such a conservation law will actually happen (in some branch of the wavefunction).
Consider lots and lots of interactions.
In what I was explaining, you have highly probable outcomes being observed a lot, and very low probability outcomes being observed rarely.
In what you are reading on wikipedia, you have at each and every one of those lots and lots of interactions a "splitting" into a different world per possible outcome. That's MWI's core content, and it seems to help some people develop intuitions about outcomes of experiments where small numbers of interactions (perhaps even just one, especially where it involves entanglement) determine much larger systems.
I throw a ball to my friend. The ball doesn't turn in to chocolate and fly away etc.
What happened to the ball? Caught or not?
To take the quote literally, neither. The rarest bird on earth capable of catching the ball swoops down and lifts it away while I win the lottery and so on.