The Identity of Logic and the World in terms of Quantum Information

EasyChair Preprint 3498

Abstract

One can construct a mapping between Hilbert space and the class of all logics if the latter is defined as the set of all well-orderings of some relevant set (or class). That mapping can be further interpreted as a mapping of all states of all quantum systems, on the one hand, and all logics, on the other hand. The collection of all states of all quantum systems is equivalent to the world (the universe) as a whole. Thus that mapping establishes a fundamentally philosophical correspondence between the physical world and universal logic by the meditation of a special and fundamental structure, that of Hilbert space, and therefore, between quantum mechanics and logic by mathematics. Furthermore, Hilbert space can be interpreted as the free variable of "quantum information" and any point in it, as a value of the same variable as "bound" already axiom of choice.

Keyphrases: Universal Logic, Well ordering theorem, choice, entanglement, quantum information, qubit, well-ordering

@booklet{EasyChair:3498,
  author    = {Vasil Penchev},
  title     = {The Identity of Logic and the World in terms of Quantum Information},
  howpublished = {EasyChair Preprint 3498},
  year      = {EasyChair, 2020}}