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→Definition of Causal Emergence
1) When the [[unique information]] <math>Un(V_t;X_{t+1}| X_t^1,\ldots,X_t^n\ )>0 </math>, it means that the macroscopic state <math>V_{t}</math> at the current moment contains more predictive information about the overall system <math>X_{t + 1}</math> at the next moment than the microscopic state <math>X_t</math> at the current moment. In this scenario, there is causal emergence in the system;
1) When the [[unique information]] <math>Un(V_t;X_{t+1}| X_t^1,\ldots,X_t^n\ )>0 </math>, it means that the macroscopic state <math>V_{t}</math> at the current moment contains more predictive information about the overall system <math>X_{t + 1}</math> at the next moment than the microscopic state <math>X_t</math> at the current moment. In this scenario, there exists causal emergence in the system;