Definitions
from Wiktionary, Creative Commons Attribution/ShareAlike License
 adj. (of a quantity) that is nonzero at all points in a space
Etymologies
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Examples

If you continue to assume maximal symmetry for the spacetime, then this would seem to imply that only Minkowski space is allowed, not AdS or dS, since they have nonvanishing Ricci scalar.

Might this then contribute to a a nonvanishing cubic term in the group elements t?

The contents of any two regions of spacetime separated by a nonvanishing spatiotemporal interval constitute separable physical systems, in the sense that (1) each possesses its own, distinct physical state, and (2) the joint state of the two systems is wholly determined by these separate states.

If we look at it from a risk mitigation perspective, it is a severeconsequence outcom with nonvanishing probability, so we can't ignore it.

Before any magnets have been reached the EPRBohm wave function is a sum of two terms, corresponding to nonvanishing values for two of the four possible joint spin components for the two particles, each term a product of an eigenstate for a component of spin in a given direction for particle 1 with the opposite eigenstate (i.e., belonging to the eigenvalue that is the negative of the eigenvalue for particle 1) for the component of spin in the same direction for particle 2.
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