Self-reference, measurment and entanglement

[Albert V]

I have some questions:

Was it von Neuman that first brought up the idea that self-reference could be the reason behind the measurment problem?

The idea seems to be that since a measurment device can't measure all possible interactions between a particle an itself the system (device and particle) will collapse and take on a random value. The measurment problem is a consequence of "the impossibility of self-measurement".

Is this view still present in quantum physics?

Can entanglement be cyclic or self-referential?

Is EPR style entanglement self-referential?

Eventually, is the self-reference possible to pinpoint by doing the math?

 

[azntoon]

The idea of self-reference in relation to the measurement problem was first proposed by John von Neumann in his 1932 book, Mathematical Foundations of Quantum Mechanics. This view is still present in quantum physics today, as it is seen as a way to explain the randomness that is associated with the measurement problem. Entanglement can be both cyclic and self-referential in nature, and EPR-style entanglement can be self-referential as well. Ultimately, self-reference can be determined mathematically by calculating the probability of an interaction between a system and itself, or by using the mathematics of quantum mechanics to calculate the probabilities of interactions between entangled particles.