Great point.It may be that the argument can be improved. Can we articulate just what the relevant difference between angels and unstable particles is, and why detection difficulty is more problematic an issue for angels than for particles?
After reading pg's excellent comment re the Higgs field, I did a little additional reading and was quite fascinated to find that 1964 was a banner year for at least two of the three items I compared in my "one of these things is not like the others" scenario.
"Both the field and the boson are named after physicist Peter Higgs, who in 1964, along with five other scientists in three teams, proposed the Higgs mechanism, a way for some particles to acquire mass."
https://en.wikipedia.org/wiki/Higgs_boson
Also in 1964:
"James Randi first instituted his own challenge in 1964, after a parapsychologist challenged him during a live radio panel discussion to ‘put [his] money where [his] mouth is’; Randi offered $US1,000 of his own money to anyone who could offer scientific proof of the paranormal."
https://psi-encyclopedia.spr.ac.uk/arti ... -challenge
And just to be fair, a 1964 Pecan Wood Round Coffee Table for Drexel, from the Meridian Collection designed by John Van Koert:
https://www.google.com/imgres?imgurl=ht ... E9Hf-uxBfM
(I will concede pg's point that, in 1964 at least, the odd one out was the coffee table. Van Koert had ventured where Randi and Higgs had not yet gone.)
But, back to pg's point, "can we articulate just what the relevant difference between angels and unstable particles is, and why detection difficulty is more problematic an issue for angels than for particles?"
One suggestion comes directly from the James Randi Million Dollar Challenge guidelines, which state that the contest "...was only open to paranormal claims that were ‘amenable to scientific testing’ – purely religious or spiritual claims were not accepted ‘because they are, for the most part, untestable’.
So, testability is presented as a possible criterion (which Rivendale also just noted).
Access to a large hadron collider might also be a fairly large hurdle, but I think we can get around that by relying on documented testing results. Maybe DCP will go along with us if we call the CERN scientists "witnesses."