  In a recent paper, Allen and Swenberg investigated which link polynomials are
capable of detecting causality in (2+1)-dimensional globally hyperbolic
spacetimes. They ultimately suggested it is likely that the Jones Polynomial
accomplishes this, while the Alexander-Conway polynomial, independently, is
insufficient. As the Alexander-Conway polynomial on its own is not likely to
detect causality an additional piece of information must be supplemented to the
link polynomial. This paper aims to examine the ability of Alexander quandles,
to distinguish the connected sum of two Hopf links and Allen-Swenberg Links. As
the number of homomorphisms given by the Alexander quandles for the connected
sum of Hopf links and the number of homomorphisms for the Allen-Swenberg Link
are the same, we can conclude that the links are not distinguishable from one
another using Alexander quandles and hence these quandles cannot capture
causality when added to the Alexander-Conway polynomial.
