Scaling Comparative Industry and Stratum Economics

Abstract

Through a functional approach relying on an information-energy duality of functions, markets economics is explored from the technological maturity viewpoint. The investment success probabilistic condition enables to calculate innovation-based investment functions which lead to a comparative study of maturity-based firms’ assessment. Economic activity strata defined as an extension of the principle of Technology Readiness Level scaling, show different kinds of cycles conditioned by the oscillations of entropies characterizing evolutions between ordered and disordered business phases. Cycle-dependent investment is quantized according to a scale which integrates relativity and gauge principles. An inter-cycle analysis leads to the identification of stable kernels of functions while some of them are created and others are destroyed. A saturation condition gives an alternative structure of markets where the destruction of functions appears marginal. Differentiating a function value leads to express the close relation between work and intelligence: at first according to a fractal formulation within the linearity of values, and eventually through a model using the diminishing and relative sensitivity, to work outcomes, that characterizes the state of the art of those values. Changing study scale enables, in certain circumstances, cross-disciplinary and successful researches for a discovery at a given scale, which is a rediscovery at another one.