8:12 AM
Random thought about omnipotence:
Trying to understand what happens when two omnipotents interact is very similar to how an entangled system behave wrt to an unentangled one
The analogy is as follows:
Recall that the major difference between an entangled state vs an unentangled state is that it has correlations that can exceed a certain bound prescribed by local hidden random variables
In QM, we have a model for the explanation of this phenomenon as superposition and hilbert spaces allows a richer algebraic structure that can allow such correlations, such as for some entangled state, you can have 1:3:3:1 for the outcomes of 00, 01, 10, 11
Now, in omnipotent interactions, we knew that because the two participants are omnipotent, it means regardless of what happens in that interaction, there is a resolution
thus they can produce something that is otherwise not possible in an non omninpotent system
However, unlike QM, because of the very nature of omnipotence necessarily violates classical or even modal logic, we do not have an explanation on how that resolution is made possible, other than the fact it is possible
Two interacting omnipotents also make me think of how many QFT interactions not in a strongly coupled system behave:
We usually start with fock states from infinity, and then they came together, interact in some unknown way, and then produce new fock states. We can then use these initial and final conditions to construct the S matrix that describe this interaction, even though we actually knew nothing in general what happens in the interaction regime
This is very similar to how when two omnipotents interact with each other, except we do not even have the luxury of producing a S matrix to model the interaction itself, it is fundementally incomprehensible
I guess, if at any time one felt stumped in QFT, go indulge in heaps of philosophy literature on omnipotence, and then you might just suddenly find the solution because compared to comprehending omnipotence, QFT is an easy piece of pie