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THE DEMANDS OF COMPLEXITY. “A relatively higher degree of complexity and order requires and, at the same time, supports a relatively higher rate of energy/matter flow. Increasing the rate of energy/matter flow normally leads to a stepwise increase in relative complexity and order within an evolving nonequilibrium system.” https://lnkd.in/eskBjS7b View in LinkedIn

Miró and his wife. He was a very serious man who worked slowly and carefully. The Miró museum in Barcelona offers a fascinating insight into the man himself. View in LinkedIn

THIRD CONSEQUENCE. “Third, the degree of complexity and order within a self-organizing nonequilibrium system and the rate of energy/matter passing through the system correlate in a mutually defining manner.” https://lnkd.in/eskBjS7b View in LinkedIn

INTERCONNECTED COSMOS. “This means that, within a nonequilibrium system of energy/matter flow/circulation, everything is connected to everything else through shared microcomponents flowing through and mediating the emergence, evolution, and transformation of diverse organizational forms comprising the system.” https://lnkd.in/eskBjS7b View in LinkedIn

THE STRUCTURE PERSISTS. “That is, what is actually preserved and evolves over relevant timescales is an organization of relationships between interacting components (an organizational form) but not physical components comprising a given macrostructure. Members come and go, but the organization persists.” https://lnkd.in/eskBjS7b View in LinkedIn

SECOND CONSEQUENCE. “Second, the emergence of macroscopic order is a highly nonlinear, cooperative process. When a critical threshold value of flow rate is exceeded, the system spontaneously self-organizes into interdependent and interconnected macrostructures-processes, in a phase transition-like manner. The macrostructures-processes emerging in far-from-equilibrium conditions are of a steady-state nature.” https://lnkd.in/eskBjS7b View in LinkedIn

FIRST CONSEQUENCE. “First, a sufficiently intense flow of energy/matter through an open physicochemical system of interacting components naturally and spontaneously leads to the emergence of interdependent fluxes and gradients within the system, with concomitant dynamic compartmentalization of the components of the system in space and time.” https://lnkd.in/eskBjS7b View in LinkedIn

CONSEQUENCES. “Several empirical generalizations discovered in studies of far-from-equilibrium systems are especially relevant for the discussion that follows.” https://lnkd.in/eskBjS7b View in LinkedIn

FRAGMENT FROM NATURE continues and concludes this weekend from last weekend on the fabulous paper about a non-equilibrium fractal universe. The considerable scope of this paper means that any attempt to briefly abstract it will be deeply flawed and I encourage those interested to carefully read the original, and to follow up with the author’s fascinating website. https://lnkd.in/eYJ_HetV View in LinkedIn

THE FRACTAL SUPERSTRUCTURE. “As the third postulate, let us assume that the energy/matter flowing through and comprising the Universe spontaneously self-organizes into self-similar (fractal) structures-processes on all scales of the organizational hierarchy.” https://lnkd.in/eskBjS7b View in LinkedIn