Cluster decomposition theorem states that quantum correlations between distant experiments are null. However at the earliest moment of the cosmological big bang theory, all existing particles are very close together. Then, their quantum fields are correlated also. So the subsequent particles created from them are also correlated. Following this reasoning, the existing particles at present are children of correlated particles. ¿Can we consider that the quantum field created in distant experiments at the present could be also correlated?
Manuel Garcia Casado ,
Thank you for starting this discussion thread! I am interested in the Big Bang Theory about which much speculation, investigation, and published research are readily available; however, I have not seen anything much about the Cluster Decomposition Theorem. I look forward to following discussion by the experts who answer your nice question. On the Internet, I found the following definition:
"Cluster Decomposition Theorem:
In physics, the cluster decomposition property is related to locality in quantum field theory. In a quantum field theory having this property, the vacuum expectation value of a product of many operators – each of them being either in region A or in region B where A and B are very separated – asymptotically equals the product of the expectation value of the product of the operators in A, times a similar factor from the region B. Consequently, sufficiently separated regions behave independently. Functional average of a number of field operator[s] is called "correlation function" or "correlator". So the space-like asymptotic behaviour of truncated correlators consisting of field clusters determines how the strength of the correlations between the field degrees of freedom in these clusters changes as the distance between the clusters grows, and this behaviour is characterised by the cluster decomposition theorem."
With best regards.
Both the 'cluster decomposition theorem' and the 'big bang' are nonsense; it surprises me that so-called intelligent people lend credence it.
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