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apeiron said:I might misunderstand you, but my view is that a non-local entanglement, as thought of in EPR, would look like two events on opposite sides of the same light cone, or branch-lets of the same bough in your analogy.
That makes sense. I was viewing the light cones of the two measurements as two separate light cones.
Clearly, the light cone of the entangling photon generating event contains the two photons as they are measured.
In your analogy, if one bough touches another (the equivalent of an observer measuring the spin of one particle) then branchlets over the far side of the bough also shiver with that touch.
And indeed, this would be an accurate portrayal I would think. Decoherence would travel in timeless fashion to constrain everything within the light cone. The tree branch analogy might even have the advantage of giving the image of the path by which things "travel all the way back to the fork and back up the other side" rather than the alternative view of a constraint acting "instantly" across the current breadth of the light cone.
I'm just thinking of possibilities for the observed nonlocal behavior. So the tree analogy gives two separate potential approaches, touching branches and decoherence traveling up and down the branches in some superluminal fashion.
So nonlocality can either be seen as a constraint that "jumped instantly" across the lightcone, or instead - using the branching analogy - that the nonlocality is written into the branching structure itself. The entirety of the branch was decohered - all the way back in time to its origin - at the "moment" of observation (the brush of one branch against another).
Either one of these options is one that merits further thought. The possibility (however slight) that there could be some realistic explanation is what keeps me working on these sorts of ideas.