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The "noncausal causality" of quantum information
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The paper is concentrated on the special changes of the conception of causality from quantum mechanics to quantum information, meaning as a background the revolution implemented by the former to classical physics and science after Max Born’s probabilistic reinterpretation of wave function: (1) quantum information describes the general case of the relation of wave functions; (2) it keeps the physical description to be causal by the conservation of quantum information; (3) it introduces inverse causality, “backwards in time”; (4) it involves a kind of “bidirectional causality” unifying (4.1) the classical determinism of cause and effect, (4.2) the probabilistic causality of quantum mechanics, and (4.3) the reversibility of any coherent state; (5) it identifies determinism with the function successor in Peano arithmetic, and its proper generalized causality with the information function successor in Hilbert arithmetic.
Title: The "noncausal causality" of quantum information
Description:
The paper is concentrated on the special changes of the conception of causality from quantum mechanics to quantum information, meaning as a background the revolution implemented by the former to classical physics and science after Max Born’s probabilistic reinterpretation of wave function: (1) quantum information describes the general case of the relation of wave functions; (2) it keeps the physical description to be causal by the conservation of quantum information; (3) it introduces inverse causality, “backwards in time”; (4) it involves a kind of “bidirectional causality” unifying (4.
1) the classical determinism of cause and effect, (4.
2) the probabilistic causality of quantum mechanics, and (4.
3) the reversibility of any coherent state; (5) it identifies determinism with the function successor in Peano arithmetic, and its proper generalized causality with the information function successor in Hilbert arithmetic.
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