TFNR - Complexity
Complexity is a measure of the content of Information, the level of organization of the Action, of a Structure, of a Form.
It is a measure of the causal and variational distance of the form from the absolute homogeneity, a measure of the inhomogeneity of a form. It measures the causal action and its variational effect necessary to produce that form starting from the absolute homogeneity of the distribution of the Elementary Events in / of the Elementary Field, the most fundamental form of Existence.
Complexity represents the extension of the causal process that produced the Form in question, in other words, the quantity and level of organization of the events that produced the above mentioned Structure or Form.
It is the result of the incessant evolution of Information. Evolution of Events, Processes, Structures of Information and Forms.
In other words, complexity represents the product of the Process of Formation of Reality, the emergent organization, produced by the incessant evolution, fed by the Force (Force Relation - Operator REL), which operates to all levels of the Reality.
In a statistical sense, it represents a measure of the degree of organization of a system or of the Universe as a whole. In the continuous scale that goes from the absolute chaos to the absolute order, evolutionary processes build increasing levels of organization, which correspond to peaks of complexity that we observe in Reality.
It's in the dynamic equilibrium, or, better said, in the imbalance in continuous tension towards an unattainable equilibrium, that the interaction between anabolic processes (constructive - Operator Organization) and catabolic processes (destructive - Operator Transformation produces the Forms of the Reality. Enthalpy and entropy. The state functions of systems evolve towards locally and / or globally more complex (less probable) states, in an incessant dance on trajectories that now turn towards chaos (e.g. second law of thermodynamics) now towards order (systemic principle of emergent order).
From this definition, it follows that the most complex existing thing is the Universe itself. Furthermore, if we hypothetically consider the human beings as the most complex existing forms and planet Earth as the only celestial body populated by humans, the Earth should be considered more complex than the rest of the Universe. The definition of complexity therefore incorporates both quantitative and qualitative aspects.
All that exists is Information that organizes Fields, Relations between the Events. With reference to the Elementary Field, at the most elementary level of existence, complexity represents the level of interconnection of the network of relations organized between the Microstates associated with the points of the Field itself. And, starting from this elementary level, we gradually find a continuous succession of more and more complex levels of existence, linked by a network of relations that construct an infinite hierarchy of emerging complexity in incessant evolution.
Links to the tables of contents of TFNR Paper