  A nonnoetherian spacetime is a Lorentzian manifold that contains a set of
causal curves with no distinct interior points, called 'pointal curves'. This
new geometry recently arose in the study of nonnoetherian coordinate rings in
algebraic geometry. We investigate properties of metrics on nonnoetherian
spacetimes, and use the Hodge star operator to show that free dust particles
have spin $\tfrac 12$. We also reproduce the Kochen-Specker $\psi$-epistemic
model of spin using the nonnoetherian metric, and show similarities between our
model and spin entanglement for Bell states and four-photon entanglement
swapping. Finally, we determine the stress-energy tensor of dust on such
spacetimes, and find that it is only nonzero at points where dust is created or
annihilated.
