Is there any interpretation covering this?

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For what it's worth, I agree with Ruta that the block world is adynamical. I do not think that physically meaningful 'retrocausation' can really take place in a block world, and that claims that it does are ontologically inconsistent. For more on that, see my talk at the recent AAAS workshop on this topic, http://arxiv.org/abs/1607.04196
 
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FYI, my recent paper with John Cramer (founder of TI) explains how the Born Rule emerges naturally from radiative processes when both emission and absorption are taken into account. It has just been accepted in IJQF. Final preprint version here: https://arxiv.org/abs/1711.04501 (The paper also shows how absorption is quantitatively well-defined in the relativistic version of TI.)
 

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