更改

===From the technical aspect===

===From the technical aspect===

====Non-uniqueness====

====Non-uniqueness====

The result of causal emergence is defined as the difference between the Effective Information (EI) of the macroscopic dynamics after coarse-graining and the EI of the original microscopic dynamics. Therefore, this result obviously depends on the choice of the coarse-graining scheme. To address this uncertainty, Hoel and others proposed maximizing Effective Information as the basis for judging and measuring causal emergence. However, there is currently no theoretical guarantee that this way of maximizing the EI of the macroscopic dynamics can ensure the uniqueness of the coarse-graining scheme. In other words, it is entirely possible that multiple coarse-graining schemes will correspond to the same EI of the macroscopic dynamics. In fact, studies on continuous mapping dynamical systems have already shown that there are infinitely many possibilities for the solutions of maximizing EI <ref name="exact">{{cite journal |last1=Liu|first1=K.W.|last2=Yuan|first2=B.|last3=Zhang|first3=J.|title=An Exact Theory of Causal Emergence for Linear Stochastic Iteration Systems|journal=Entropy|volume=26 |issue=8 |year=2024|page=618}}</ref>.

The result of causal emergence is defined as the difference between the EI of the macroscopic dynamics after coarse-graining and the EI of the original microscopic dynamics. Therefore, this result obviously depends on the choice of the coarse-graining scheme. To address this uncertainty, Hoel and others proposed maximizing EI as the basis for judging and measuring causal emergence. However, there is currently no theoretical guarantee that this way of maximizing the EI of the macroscopic dynamics can ensure the uniqueness of the coarse-graining scheme. In other words, it is entirely possible that multiple coarse-graining schemes will correspond to the same EI of the macroscopic dynamics. In fact, studies on continuous mapping dynamical systems have already shown that there are infinitely many possibilities for the solutions of maximizing EI <ref name="exact">{{cite journal |last1=Liu|first1=K.W.|last2=Yuan|first2=B.|last3=Zhang|first3=J.|title=An Exact Theory of Causal Emergence for Linear Stochastic Iteration Systems|journal=Entropy|volume=26 |issue=8 |year=2024|page=618}}</ref>.

 

====Ambiguity====

====Ambiguity====