DevilsAvocado said:
Many many thanks RUTA, for taking your time explaining these things for a numbskull like me.
The 3-simplex triangle stuff now makes sense to me, but I’m still lost when it comes to the non-separability. You won’t believe it, but I tried even this 'solution'!
Sure, we can 'win' a couple of km in this case, but it won’t give us the non-separability required for the 'magic' in EPR-Bell, right?
So the real "non-separability-magic" must be in the "break up" (projection) to a 4D simplices manifold, right?
But how is this achieved...? You talk about the length of the links... and they represent a "topological distance", right? So, how is this achieved?
DA, I'm glad you persist in trying to understand non-separability in RBW -- our leitmotif. The picture you have of the two triangles on/in the sphere is excellent and illustrates nicely how we propose general relativity must be modified. I will steal it for my presentation next month
As for how this non-separability resolves the mystery of entanglement, one needs to replace the ontology of "matter in spacetime" with that of spacetimematter, i.e., move from an object-oriented ontology (O3) to a relational ontology (ontic structural realism, OSR). Let me try to explain what that means.
Imagine three objects at rest with respect to each other ... a ball, a cup and a pencil, say. Now, in O3, if one wants to remove one of these items, e.g., the ball, one has only to "grab and move it" or "erase it from the picture," leaving the other two items intact. In OSR, the items are not what "exist" so if you want to remove the ball, you have to remove all the relations that give rise to the ball, which means you've also removed part of the pencil and part of the cup. Thus, if there are only two items, getting rid of one item entails getting rid of the other item totally, too. This is easily seen in the metaphor of the face-vase illusion.
http://www.123opticalillusions.com/pages/Facevase.php"
Suppose that the faces are the fundamental entities in O3 and the vase is the fundamental entity in OSR. That is, in O3, the faces are black objects placed on a white background while in OSR the vase is a very large collection of white links on a black background. Now, in O3, one can erase either face leaving the other intact, but in OSR if one removes all the white links to eliminate one face, the other face disappears entirely, too. See the difference?
Now let's take that understanding to a QM experiment. In O3, there are quantum entities moving through an experimental set up causing detector clicks. In our version of OSR, there are only relations (represented by graphical links formally) making up the experimental equipment (classical world). There are no quantum entities in addition to the experimental equipment. When one does a QM experiment per OSR, one is discovering the nature of the relations giving rise to the experimental equipment.
Now, in O3, one wants to know the dynamics of the entities, i.e., their worldtubes in spacetime, and of course this leads to the understanding that quantum entities are mysterious because they don't seem to obey a clear dynamics. Thus, there seems to be a difference between the quantum realm and the classical realm, even though we suppose the classical is composed of the quantum.
By contrast, in OSR, one isn't searching for the dynamics of matter in spacetime, but rather one is looking for a rule dictating how links are used to build the graphs that model spacetimematter. Classical dynamics follows statistically from this fundamental, adynamical rule for the composition of those graphs. Thus, the only dynamical realm is that of classical physics, i.e., there are no "quantum dynamics."
So, when one does a QM experiment, one can find evidence for the fundamental, adynamical composition of the experimental equipment and, since fundamental physics is not dynamical, QM outcomes can defy dynamical explanation. Since what most people mean by "explanation" is "dynamical story," QM phenomenon can "defy explanation," i.e., "be mysterious."
Notice, in OSR, the QM outcomes do not defy explanation at all. They are explained probabilistically via the fundamental, relational decomposition of the experimental equipment. The reason the fundamental explanation is probabilistic is that the equipment is classical and we don't know exactly how it's composed. But, we do know that it's not "turtles all the way down," i.e., classical reality is not simply composed of smaller and smaller classical entities/substances that leave nice trajectories in the detectors of high energy particle physics experiments. All entities with worldlines (like those in particle physics detectors) are classical (QM doesn't disagree per the uncertainty relation), so why would anyone suppose the classical realm is composed of "elementary particles?" No, the worldlines in particle physics detectors are made from hundreds of detector events and "pictures of atoms" are made from millions of interactions/relations per second. Contrast that with the mysterious correlations of EPRB between pairs of detector clicks and you realize the enormous difference of statistical scale between a "true" QM experiment, i.e., an experiment investigating the fundamental realm, and those experiments purporting to show
O3 evidence of "atoms" and "fundamental particles."
I'll stop here and let you respond.