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Antimatter Without Antiparticles

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The nature of antimatter is examined in the context of algebraic quantum
field theory. It is shown that the notion of antimatter is more general
than that of antiparticles. Properly speaking, then, antimatter is not
matter made up of antiparticles --- rather, antiparticles are particles
made up of antimatter. We go on to discuss whether the notion of antimatter
is itself completely general in quantum field theory. Does the
matter-antimatter distinction apply to all field theoretic systems? The
answer depends on which of several possible criteria we should impose on
the space of physical states.