DrChinese said:
I do think your decision to look at Bell's Theorem from more angles is a good one. (Yes a totally predictable comment...

)
Thanks, your comments are finally useful to my objective.
Anyway, I just read your version of Bell's theorem proof to make sure we are talking about the same thing.
Are you absolutely certain about your version?
Let's have a look at the first and the main assumption:
a. ASSUME that a photon has 3 simultaneously real Hidden Variables A, B and C at the angles 0 degrees, 120 degrees and 240 degrees per the diagram above. These 3 Hidden Variables, if they exist, would correspond to simultaneous elements of reality associated with the photon's measurable polarization attributes at measurement settings A, B and C. In other words, each hidden variable gives us the answer to the question "will this photon pass through a polarizer lens set at a specific angle?" Presumably, this information is SOMEHOW encoded definitely in the photon at the time it is created (sort of like an instruction set) and does NOT depend in any way on the polarizer lens itself (which is encountered at a later time).
Well, this does not apply to my postulates! Nothing in my proposal would contradict Bell's theorem conclusions because I do not assume hidden variables as defined by Bell.
I thought I was very clear in explaining my point but I guess not, so let me repeat it:
a) at the point of emission (i.e., at each junction on Feynman's diagram) a photon knows where all particles in the universe are (whatever "location" means, if anything);
b) it constructs a probability distribution on the whole of the universe assigning a probability to each such particle;
c) it draws randomly from that constructed probability distribution;
d) and then it gets absorbed by the particle drawn at the previous step after some time.
The key point here is b) - when decision is made at the point of emission it incorporates the knowledge of the existence of future detector at that moment.
State of the particle in my proposal is obviously dependent on measurement and does not exist without it - the key difference is that it is created at emission not at the measurement itself.