I was browsing through the hep-th arXiv and came across this article: Spontaneous Lorentz Violation in Gauge Theories. A. P. Balachandran, S. Vaidya. arXiv:1302.3406 [hep-th]. (Submitted on 14 ...
[Note: My discussion of the three answers can be found just after the question.] Imagine three points in space that differ only by a phase angle of "something" (what doesn't really matter). One way ...