God, Logic, and Quantum Information

The thesis is:
The concept of quantum information introduced by quantum mechanics allows of an interpretation of the world as conscious, and of logic as the result of the action of that conscious medium.

As usual, quantum mechanics and the theory of quantum information call that interpretation “quantum computer” or “the universe (world) as a quantum computer”. However, one can show that this “quantum computer” possesses the capability of free choice and some kind of natural teleology. The link between the former and latter generates one phenomenon, which can be investigated by science: It can be called the free will of the universe and interpreted as a scientific conception of God or as a hypostasis of Him studied by theology.
The same viewpoint includes all logics or the conception of universal logic in a natural way. Any logic “of anything” can be seen as a partial ordering and thus as a stage of the universal and single well-ordering of the universe going to the past and accomplished by the “universe as a quantum computer”. Thus, any that should be a partial result in the ordering in the course of time from future to past by the meditation of the present and of the choices made in the present.

Arguments:
(I) Course of time can be described in terms of quantum mechanics as follows: The absolutely coherent state of the future de-coheres gradually into less and less entangled quantum systems by means of choices (or “measurements”) made in the present. Thus, those entangled quantum systems are being transformed in mechanical systems absolutely separated to each other in and after the limit from the present to the past.

(II) Universal logic can be considered as the series of partial orderings of some universal class, e.g. that of all sets. Then, any given logic will be exactly one member of that series and can be defined (1) by the set, to which the partial orderings refer, and (2) by the rule, which can generate just the partial ordering, i.e. by the property, which describes the set of all well-orderings representing the partial ordering in question. The definition (1) determines the logic as the “logic of something” where that “something” is the set, which has to be ordered and its “logic” means the way and degree of the ordering. The definition (1) includes both (1.1) any scientific theory as the logic of the object of the theory, and properly (1.2) the “logics of something” where that “something” is some set more interesting by the rule (2), which can generate rather than by itself. The definition (2) includes both (2.1) the case of the explicit property generating (all) well-orderings on any set independently of the interpretation of its elements and (2.2) the “topological representation” of the logic as the description of all well-orderings one by one rather than a common property determining unambiguously all well-orderings as it is in the former case.

(III) The collaboration of quantum mechanics by the conception of quantum information allows of a natural ontological interpretation of universal logic. There is a natural process of ordering in the course of time independent of what is ordered. What is ordered can be e.g. the world, i.e. the universe as a whole, or any part of it, i.e. any quantum system. So, universal logic can be interpreted as the successive partial results in the process of ordering independent of what is ordered. That ordering is a well-ordering and it originates from the course of time. According to quantum mechanics, the general course of time can be described as a (well-) ordering in thus: The coherent state of future is being ordered into the single well-ordering of the past here by the meditation of the all choices in the present accomplishing the ordering. That universal well-ordering in turn orders well all partial results, each of which is some logic. Consequently, the series of all logics turns out to tbe well-ordered if that is the conception of universal logic. The distance between any two logics can be measured by the quantity of (quantum) information. Any logic is unambiguously determined by the information distance from the coherent state (the “absolute future”), on the one hand, and from the single well-ordering (the “absolute past”), on the other hand. (Handbook of the 1st World Congress on Logic and Religion, April 1 - 5, 2015, João Pessoa, Brazil, pp. 171-173)

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