Testing nuclear theory using the 0.5 ms pulsar

It is argued that a uniformly rotating neutron star with period of 0.5 ms or less may be unable to spin down to become a slowly rotating neutron star if any of the currently proposed equations of state are correct. Asssuming that the neutron star in SN1987A is 'typical' and does not collapse to a black hole as it spins down to a rotational period much larger than 0.5 ms, then its existence may actually invalidate all previously viable nuclear equations of state. An approximate but analytical test that can be used to identify untenable equations of state in the future is proposed.