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A new approach to wavefunction collapse is prepared by an analysis ofsemiclassical gravity. The fact that, in semiclassical gravity, superposedstates must share a common classical spacetime geometry, even if they prefer(according to general relativity) differently curved spacetimes, leads toenergy increases of the states, when their mass distributions are different. Ifone interprets these energy increases divided by Planck's constant as decayrates of the states, one obtains the lifetimes of superpositions according tothe Diosi-Penrose criterion and reduction probabilities according to Born'srule. The derivation of Born's rule for two-state superpositions can be adaptedto the typical quantum mechanical experiments with the help of a commonproperty of these experiments. It is that they lead to never more than twodifferent mass distributions at one location referring e.g. to the cases that aparticle "is", or "is not", detected at the location. From the characteristicenergy of the Diosi-Penrose criterion, an action is constructed whoserelativistic generalisation becomes obvious by a decomposition of theEinstein-Hilbert action to the superposed states. In Part 2, semiclassicalgravity is enhanced to the so-called Dynamical Spacetime approach towavefunction collapse, which leads to a physical mechanism for collapse.

Towards a theory of wavefunction collapse Part 1: How the Diosi-Penrose  criterion and Born's rule can be derived from semiclassical gravity, and how  the criterion can be relativistically generalised with help of the  Einstein-Hilbert action