The “Noncausal Causality” of Quantum Information

EasyChair Preprint 5859

Abstract

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. Those changes can be enumerated so: (1) quantum information describes the general case of the relation of two wave functions, and particularly, the causal amendment of a single one; (2) it keeps the physical description to be causal by the conservation of quantum information and in accordance with Born’s interpretation; (3) it introduces inverse causality, “backwards in time”, observable “forwards in time” as the fundamentally random probability density distribution of all possible measurements of any physical quantity in quantum mechanics; (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.

Keyphrases: Hilbert arithmetic, Reverse Causality, probabilistic interpretation of quantum mechanics, quantum information, quantum-information conservation, qubit Hilbert space

@booklet{EasyChair:5859,
  author    = {Vasil Penchev},
  title     = {The “Noncausal Causality” of Quantum Information},
  howpublished = {EasyChair Preprint 5859},
  year      = {EasyChair, 2021}}