Optimal control on nonholonomic black holes

Entropy of Reissner–Nordström 3D Black Hole in Roegenian Economics

“…Our papers are significant contributions to Roegenian economics because they set a vision and provide a framework for economics similar to thermodynamics based on a dictionary. In time, we developed and studied the following ideas: extrema with non-holonomic constraints [ 29 ], non-holonomic economic systems [ 30 ], economic geometric dynamics [ 25 ], black hole geometric thermodynamics [ 6 , 7 ], thermodynamics versus economics [ 33 ], multi-time optimal economic growth [ 10 , 35 ], black hole models in economics [ 8 ], geobiodynamics and Roegen type economy [ 26 ], non-holonomic geometry of economic systems [ 31 ], controllability of a non-holonomic macroeconomic system [ 11 ], optimal control on non-holonomic black holes [ 12 ], phase diagram for Roegenian economics [ 32 ], geobiodynamics and Roegenian economic systems [ 27 ], and economic cycles of Carnot type [ 28 ]. We interpret this collection of papers as a call to the economics–physics–mathematics community to respond to the current political forces that (inappropriately) shape our life.…”

“…Controllability of a non-holonomic macroeconomic system [ 10 , 11 , 12 ] shows that Roegen structured economic systems respond best to optimal commands.…”

Entropy of Reissner-Nordström 3D Hole in Roegenian Economics

“…Our papers [20]- [34] are significant contributions to Roegenian economics because they set a vision and provides a framework for economics similar to thermodynamics based on a dictionary. In time we developed and study the following ideas: extrema with nonholonomic constraints [20], nonholonomic economic systems [21], economic geometric dynamics [22], black hole geometric thermodynamics [23], [24], Thermodynamics versus Economics [25], multitime optimal economic growth [26], [28], black hole models in economics [27], Geobiodynamics and Roegen type economy [29], nonholonomic geometry of economic systems [30], controllability of a nonholonomic macroeconomic system [31], optimal control on nonholonomic black holes [32], phase diagram for Roegenian economics and Geobiodynamics and Roegenian economic systems [33], economic cycles of Carnot type [34]. We interpret this collection of papers as a call to the economics-physics-mathematics community to respond to the current political forces that (inappropriately) shape our life.…”

Economic Cycles of Carnot Type

“…The formal analytical-mathematical analogy between economics and thermodynamics is accepted by economists and physicists as well (what differs are the dictionaries used). Starting from these remarks, the papers of Udriste and coauthors [1][2][3][4][5] build a morphism of dictionary type between thermodynamics and economics, admitting that fundamental laws in thermodynamics are transferred into laws for economics.…”