UNIVERSAL CONCEPT/DEFINITION OF COMPLEXITY
DOES EXIST AND SOLVES PROBLEMS
 
Efficient Theory of Everything
 
Contrary to repeated official statements of its absence, the universal and rigorous definition and concept of unreduced dynamic complexity of real systems (rather than any abstract "models") was elaborated 15 years ago [1] and its practical efficiency has been extensively confirmed by various applications [2], from elementary particles to genomics and science of consciousness, providing a working version of the genuine theory of everything:

(1) Complex dynamics of autonomic, intelligent communication networks and other ICT/AI structures; ways of their provably efficient realisation [3]

(2) Dynamically emerging intelligence and consciousness as well-specified levels of unreduced dynamic complexity; applications to various realisations of natural and artificial consciousness and intelligence [4]

(3) Irreducibly complex, chaotic dynamics in real nanosystems of natural and artificial origin (e.g. nano-devices, quantum devices, bio-chemical interaction networks, genome interaction dynamics) [5,12]

(4) Creative (interactional) genomics [6]

(5) Consistent, complex-dynamical solution of general biological problems of evolution (qualitatively new form emergence) and essential life properties (autonomous dynamic adaptability, élan vital, development, etc.); application to creation of qualitatively new, integral medicine framework (complete understanding and control of unreduced complex, multivalued dynamics of each organism) [7]

(6) Causally complete analysis of real ecological systems, both local and global; advice about their development; rigorously substantiated, genuine  sustainability and ways of its practical realisation [8,19]

(7) Unreduced complex (multivalued) dynamics and progressive development of local and global social systems; realistic transition to knowledge-based society [8,19]

(8) Rigorous analysis of science structure as a complex system and practically oriented proposal of the new, provably   efficient science organisation, content and social involvement [9

(9) Causally complete and intrinsically unified fundamental physics without supernatural mysteries, ad hoc postulates, senseless abstraction, dark matters and hidden dimensions  [1,10a-10b,11a-11b,11c,12,13,14,15,17,18]
 
The obtained progress is based on a clearly specified qualitative extension of usual perturbative or “exact”, dynamically single-valued  and therefore  always incorrect  “models” to the intrinsically complete, dynamically multivalued  solution of unreduced many-body interaction problem describing real-system dynamics  [1,17]. This extended – and now truly exact! – mathematical framework, the new mathematics of complexity, describes the world as unified, self-developing  diversity of a single structure, dynamically probabilistic fractal, obeying the unique law of universal symmetry (or conservation and transformation) of complexity as unified causal extension of all (correct) laws and “principles” [1,2,15,16]. The obtained provably universal concept of complexity provides thus the unique  basis for the new, causally complete and unified science describing the real, unreduced world structure and dynamics in its full creativity and ... complexity.