Wavefunction spreading speed in material mediums

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Gerinski
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According to theory, after any measurement the wavefunction spreads as a sphere at the speed of light from those last measurement coordinates. Since the speed of light can be slowed down by material mediums and by gravitational space warping, does that imply that the wavefunction in a material medium or under gravitational influence spreads at a lower speed, or its spreading might be distorted from the spherical shape by the gravitational influence? And if so, could that be tested experimentally?

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Gerinski said:
According to theory, after any measurement the wavefunction spreads as a sphere at the speed of light from those last measurement coordinates.

Please give a mainstream reference for this "theory" via PM. Until then, this thread is closed.