“Anticoherent” Spin States via the Majorana Representation

In this article we define and exhibit “anticoherent” spin states, which are in a sense “the opposite” of the familiar coherent spin states. Since the familiar coherent states are as “classical” as spin states can be, the anticoherent states may turn out to be better candidates for applications involving non-classical behaviors such as quantum entanglement. Thanks to the Majorana representation of spinors as 2s-tuples of points on the Riemann sphere, classes of anticoherent states are easy to find; the development of such examples also leads us into some curious geometry involving the perfect solids. If we create a universe, let it not be abstract or vague but rather let it concretely represent recognizable things. M.C. Escher[1] c © Electronic Journal of Theoretical Physics. All rights reserved.