I'm not sure if it's best to ask this question here, or in the Special & General Relativity section - it's probably more appropriate for this forum.

I've been wondering about the following question: what effect does wavefunction collapse have on space-time? For example, if we measure, say, the position of an electron at some point in time, its wavefunction should collapse instantaneously. The collapse should localize the 'peak' of the wavefunction to a smaller region of space-time, and this should happen instantaneously.

Shouldn't this collapse have an effect on the space-time background? I.e. because the position of the electron is now localized in a smaller region of space-time, shouldn't the shape of space-time also change (due to gravity), albeit by a very small amount? If the collapse occurs instantaneously, does this imply an instantaneous change in space-time also? And if so, wouldn't this make space-time discontinuous?

Thanks all. As a final remark, perhaps the questions about can't really be answered until there is a workable theory of quantum gravity?

J.