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Bulletin of the American Physical Society

Debunking Non-Locality Causality

N. Glenn Gratke

Published Apr 17, 2005• 0 citations
OpenAlex

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Non-causal correlations certify the lack of a definite causal order among localized space-time regions. In stark contrast to scenarios where a single region influences its own causal past, some processes that distribute non-causal correlations satisfy a series of natural desiderata: logical consistency, linear and reversible dynamics, and computational tameness. Here, we present such processes among arbitrary many regions where each region influences every other but itself, and show that the above desiderata are altogether insufficient to limit the amount of "acausality" of non-causal correlations. This leaves open the identification of a principle that forbids non-causal correlations. Our results exhibit qualitative and quantitative parallels with the non-local correlations due to Ardehali and Svetlichny.
The issue that quantum concept is noncausality or non microscopic innocence principle has always been the focus of discussion of physicists and philosophers.Based on the rationale for noncausality of quantum nonlocality,this paper analyses the causal relation and microscopic innocence principle from the micro field.Analysis suggests that objective reality possesses the causality and microscopic innocence principle of nonlocality in the effective coherence time,and it translates into the causality and H under the principle of relativistic locality in the noncoherent time.
According to the theory of relativity and causality, a special type of correlation beyond quantum mechanics is possible in principle under the name of a non-local box . The concept has been introduced from the principle of non-locality, which satisfies relativistic causality. In this paper, we show that a correlation leading to the non-local box can be derived consistently if we release one of major axioms in quantum mechanics, Born’s rule . This allows us to obtain a theory that in one end of the spectrum agrees with the classical probability and in the other end agrees with the theory of non-local causality. At the same time, we argue that the correlation lies in a space with special mathematical constraints such that a physical realization of the correlation through a probability measure is not possible in one direction of its limit, but is possible in the other limit.