MATHEMATICS AND REALITY, COMPLEX SPACE AND REAL SPACE.

We aimed at analyzing, from an epistemological viewpoint, the real space, from the modern sciences perspective, but also the mathematical complex space, bringing argues that the complex space, considered to be an abstract space, is in fact a physical one, it has physical significance and it should be added to the real space, within a "widened" approach of the "real". This widened view should also introduce information, as an ontological category, which can find its place both in the real space, under the form of structural information, but also in the complex space under a potential, infinite dimensional and holistic form. We used an analytical, deductive, but also a multidisciplinary, structural-phenomenological and naturalistic approach. The real space with all its aspects and its connection with the space of physical reality, with the imaginary or transcendental space, were studied by philosophy since its beginnings and the research is still going on. Relativity theory as well as quantum mechanics forced philosophers to reconsider what we call real space. The last researches in the quantum information field theory raise serious theoretical problems, which involve new paradigms of information, concerning the transformation of energy into substance and with respect to dynamics in general, at quantum level. If we confer, in general, a real existence to immaterial information, to be found along with structure (the information from a software along with hardware), then we can accept the existence of the complex space. It seems that the complex space is the place where information is at a potential level under the Bohmian implicit reality form, a physical space along with the real one, with which it is in a permanent dynamical connection. The existence of this physical space, at the interface with the real space through the Hilbert space, involves the acceptance of the fact that this space contains the real space at potential, a-temporal and a-spatial level (Bohm's implicit reality). Thus, this space is formed by information before this becomes substance and energy, the conclusion to this being that within this space and within this interface, the context of human imagination, of creativity and of psychism is formed. [ABSTRACT FROM AUTHOR]