Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2003-01-28
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
Updated version with four new figures
Scientific paper
We discuss the origin of causal set structure and the emergence of classical space and time in the universe. Given that the universe is a closed self-referential quantum automaton with a quantum register consisting of a vast number of elementary quantum subregisters, we find two distinct but intimately related causal sets. One of these is associated with the factorization and entanglement properties of states of the universe and encodes phenomena such as quantum correlations and violations of Bell-type inqualities. The concepts of separations and entanglements of states are used to show how state reduction dynamics generates the familial relationships which gives this causal set structure. The other causal set structure is generated by the factorization properties of the observables (the Hermitian operators) over the quantum register. The concept of skeleton sets of operators is used to show how the factorization properties of these operators could generate the classical causal set structures associated with Einstein locality.
Eakins Jon
Jaroszkiewicz George
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