The communication concerns the extension of Schumpeter's thinking related to endogenous growth. The lecture is focused on new patterns of management and credit, that is to say a money creation strategy overcoming simple ‘creative-destruction’ or transfer of profits between agents. Many economic models are based on the concept of equilibrium and / or symmetry of information between actors or agents. These models naturally lead to static and statistical representations of the behaviors. In practice, the assumptions associated with these paradigms lead up to think the economic dynamics at short or very short frequencies of decisions. The development of modern technologies lead to control managerial decisions in the frame of short term vision and the dynamics in the frame of continuous money creation (financial decisions use microsecond units and the high-performance of robotic softwares). By extrapolation, these paradigms mainly think 'equilibrium markets'. We name 'balance management' or financial control this cognitive option. The axioms of rational and statistics thermodynamics fit very well the related often implicit paradigms. We can set against the above point of view, the the concept 'Stationarity-Management' or Economic Management'. We show that the latter , although based on a much more subtle concept of dynamic equilibrium as the first( paths integrals), leads to the same dead end in terms of development and innovation. In spite of asymmetrical exchanges and irreversibility of elementary processes, it is impossible to think of innovation and cognitive rupture under such thought patterns. All singularities are implicitely contained within the econometrics tactics seen as local answer to environmental constraints. We can show that for theoretical reasons there is, at the end, neither real surprise, nor 'black swan'.The irreversibility leads to stabilize the standards by deepening and increasing their number. The exponential growth of the plannification of the quality in the industry and services corresponds precisely to this paradigm based on the vision of a 'trace spectral state' of the company. Starting from the previous models we show that the management of innovation, requires to take into account 'set excess factors', due to the correlations within inside and outside scaling. This extension of the set of representation of the company within its environment plays a central role in 'non-stationary control' by the management. The required governance will named 'Paradoxical Management' insofar as it leads to take into account, the opportunities given by the concept of Forcing (set theory) and Kan's extensions (category theory). The lecture will be focused on, KC theory and DQPl models, showing that innovating successes can not be reduced to a good tatics, to the chance or to the standard logic (logic of the excluded middle). We show the role of the creation of money in the innovation process. Illustrated by the musical creation, the development of 3D copying and SPADD system the lecture will use the more advanced aspect of physics to introduce the limitation of the present econometrics point of view, in the management of European crisis.

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