I was reading and writing a study report about EPR and Bell's inequality.
As the hidden variable and local realism was proven to be "false", and from many posts in physics exchange websites such as EPR paradox and uncertainty principle I learned that (quote John Rennie)
"the measurement to the entangled system affect the system in a whole, and was not constrained by the speed of light".
However, the entangled system that was dealt with was a physical system, and it must still followed some physical laws.
Further, I was taking nonlinear dynamic these days where we learnt the idea of conserved system. It's practically saying that, without interaction, the trajectories of object must be in the constant surface or line of some conservatives quantities, if there was one or more.
Therefore I had the following questions:
- What's the invariance quantities in the EPR and Bell's inequality?
(i.e. the particle's four speed was conserved, and, in this case, the uncertainty principle was followed. Thus in a scene $\Delta x\Delta p\ge \hbar/2$. But the uncertainty was an inequality, and it's kind of tricky to see what exactly was the conserved quantity.)(Asked for functional description)
- What's the path of information such "simultaneous interaction" of the entangled system took?
(i.e. what's the possible or preferred geometry of the EPR?)(Asked for geometrical description)