I've just been reading about tachyons and tachyonic fields, and although they probably don't exist/are wildly unstable, I'm curious: What does imaginary mass do to spacetime curvature? Does ‘complex valued curvature’ even have a single plausible meaning the way real-valued curvature does?
$\begingroup$
$\endgroup$
2
-
1$\begingroup$ @BenRW Specifically, since you have enough reputation to access Physics Chat, you might want to start by going there and getting some feedback about the question. If there's a way to clarify it that would make it more likely to get reopened, someone there is likely to suggest it. You can also get feedback on whether you should make a meta post and, if so, how to phrase it. $\endgroup$– David ZCommented Mar 4, 2017 at 6:18
-
$\begingroup$ For anyone reading this later: Comments on chat included the suggestion I search for "complex relativity" or some variant of that. Probably more useful for search results than how I phrased it here. $\endgroup$– BenRWCommented Mar 4, 2017 at 10:01
Add a comment
|
1 Answer
$\begingroup$
$\endgroup$
The notion of complex curvature does exist: see Y. Martinez-Maure, Real and complex hedgehogs, their symplectic area,curvature and evolutes. For instance, a complex circle with (complex) radius R has a (complex) radius of curvature equal to R (see page 17).
The author says the paper is to appear in the Journal of Symplectic Geometry.
