There are 2 steps in the creation of a force field: (1) first the object comes into existence (2) then the field appears. In the case when a photon splits into an electron and an antielectron, these 2 bodies suddenly pop into existence, whose electromagnetic and gravitational fields then come into existence. what is the rate at which they spread?
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1It is unclear whether things happen the way you say: in the quantum world it is not possible yet to give a temporal order to the "creation of a particle" and the "appearance of a field". On the other hand, here fields are quantized, so "appearance of a field" would be "appearance of a field particle". So your premises cannot yet be proven. As for your question, both electromagnetic and gravitational fields propagate at the speed of light. – rmhleo Oct 29 '14 at 10:31
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1Possible duplicates: http://physics.stackexchange.com/q/5456/2451 and links therein. – Qmechanic Oct 29 '14 at 10:43