I'm still finding that my concept that "the universe has less information than it seems" is a wedge to understanding and solving the mysteries of entanglement in Quantum Theory. But how could it work.
The most obvious idea is the simulation one. In that idea, the universe we see is actually a simulation. Somewhere, this simulation is cooked up from less information than there appears to be.
But the problem with that idea, is that it's too big, and relies on the simulation theory to be true.
Likewise with any sort of God is doing it all theory.
I now see three other more plausible solutions.
A. Structure. All the sorts of structure in the universe, such as the warping of spacetime under the influence of mass (aka Gravity) and so on, mean that there is less information underneath it all than there appears to be.
B. Quantization of Time. If Time were quantized, this also reduces the amount of information relative to a fully continuous notion of time.
C. Ideals and Potentials. Plato proposed that the world we see is the Shadow of the real world, which consists of things like perfect circles and perfect horses. I don't like that vantage, I'd prefer to see the visible world as real. But then what are things like "circles" ? An Ideal. An ideal circle isn't something that actually exists, or information about anything. It's an ideal whose attributes real objects can approximate.
C1: We often assume Ideals are eternal. Perhaps they are. But something related is a Potential, such as the potential that something like a circle could exist. Before the universe existed, before spacetime existed, could there was no potential of having something like a circle. Circles require dimensions to exist. But once spacetime exists, the potential for circles now exists Everywhere in that spacetime. It need not (as with real information) travel from one part of spacetime to the other. Potentials are instantaneously ubiquitous everywhere in the same domain. (And since a Potential, or an ideal, or even meta information, is still a kind of thing, it is uniquely the kind of thing that can travel faster than the speed of light.)
I now have explanations of entanglement based on either B or C1 or both.
A key redundancy in the universe is that of particle A and the historical influence of particle A, say what it has interacted with and when.
Fully grasping this difference means two alternative universes, in which Particle A exists or not. Then we could see all the historical effects of Particle A by their absence.
However that is also true when we measure particle A. Prior to our measurement, we can only say there are two alternative universes, one in which particle A property 1 has value 0, and the other in which it has value 1. Our measurement determines simultaneously which value Particle A has and which of the prior alternative universes we lived in.
If time were quantized, and likely very very small units like 10^-33 sec, there would then be two possible cases of things either being exactly simultaneous or not. If time is continuous, there is virtually no possibility of thing being exactly simultaneous, only within some arbitary window.
Therefore the quantization necessarily creates this new potential of simultaneity, which is still so small as to be highly unlikely, but highly significant if it is so.
The effect of this is that most cases boil down "not simultaneous, therefore not the same". If the cases of simultaneity were indeed special, such as entangled paricles showing same rather than opposing spins. The subtraction out of that special case from the remaining possibility has curious effects. We would virtually always find them to be opposing, say if in the special condition of simultaneity they were not opposing.
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