Fleeting thoughts: The world as symbols, or quantum information theory as semiotics

Scientific thinking unlike Christianity and some schools in philosophy understands usually symbolizing as a secondary human activity in a primarily given world for the latter to be represented or modeled by the former for the objectivity of knowledge. On the contrary, quantum mechanics being even an experimental science allows of the world by itself to be seen as a form of symbolizing, thus sharing one and the same fundamental structure of both sign and information. The theory of quantum information is what mediates and interprets quantum mechanics in terms of information. 

Information should be defined as the quantity of elementary choices. The unit of elementary choice is a bit, i.e. the elementary choice between two equally probable alternatives often designated as “0” and “1”. Quantum information though introduced by quantum mechanics for different reason can be interpreted nonetheless as that generalization of information referring to infinite sets or series. Its unit, a quantum bit, or “qubit” means one elementary choice among an infinite set of alternatives. Furthermore, any wave function, which is the function describing exhaustedly the state of a quantum system, can be interpreted as a value of quantum information. Then the complex Hilbert space underlying quantum mechanics as the fundamental mathematical formalism would be the free variable of quantum information. Thus the world and the universe can be seen as quantum information and any motion in them would be some change of the quantity of quantum information. 

Further, a bit, the unit of information can be interpreted not less as an elementary “sign”, where both alternatives of any bit would be correspondingly “signifier” and “signified”. The theory of quantum information proves that any qubit is equivalent to some transfinite bit in a transfinite series of bits. Thus a qubit can be also interpreted as a sign featured by being transfinite in a transfinite string of signs, which can be defined as a transfinite name. Therefor physical reality, the world, and the universe can be understood as a collection or class of those “names” just being transfinite unlike usual finite names given by human beings in any natural or artificial language. 

However, the concepts of information and sign though sharing one and the same philosophical and mathematical structure, the unit of “bit” express two different and even opposite, complementary aspects of it. Information represents the diachronic one, and sign does the synchronic one. Their multiplication is action. Even more: the physical quantity of action, the dimension of which is the same as that of the fundamental Planck constant, can be always decomposed into two conjugates linked by the well-known theorem(s) of Emmy Noether (1918) about conservation. The one of the conjugates would correspond to the diachronic aspect of information, and the other to the synchrony of sign. 

At last, the domain of transfinite signs or names, as the class of which reality can be seen above, is provably equivalent to doubling all finite human names as “words and things”.