I have on occasion used the term ‘the neutron star paradox’ amongst LHC safety critics to denote the existence of neutron stars, as micro black hole capture should invalidate their existence if micro black holes were stable, according to official safety reports. The oft used counter-argument being that of superfluidity, which I personally dismiss as bunkum (zero viscosity cannot slip and slide your way out from the dark side of an event horizon).
It would be more appropriate to consider the magnetic field of the neutron star such that cosmic rays are always deflected by the Lorentz force from such stars, or perhaps some solar wind type effect may do similar (though this has at least partly been argued against in safety assurance already). The alternative (and infinitely more plausible) explanation of course is that micro black holes (TeV scale, at least) do not exist, though dozens of papers on arXiv and other journals argue otherwise (and CERN scientists willfully anticipate the creation of approx. 10,000 of these over the course of LHC experiemnts). The slightly less plausible explanation is that Hawking Radiation Theory is actually effective, with the only other explanation being that MBH accretion models are flawed. Otherwise we would not have stable neutron stars in the Universe… they would all be black holes by now.
I thought I’d kick off a thread of discussion here — if anyone has the appetite to participate — on discussion of ‘The Neutron Star Paradox’, as you will see from my previous post on the flux of (hypothetical) stable micro black holes, this is quite central to LHC safety assurance.