One of the impact of “chochma” is ability to use logic and study facts. It does not have to be “goyishe” – you can skip Newtonian physics and go directly to Einstein.
Deleted for lack of kavod haTorah
As to Ch Ch, I already quoted a sefer that I bought in the zionist city of Benei Braq: there is an apartment in Petach Tikwa that was bought for Ch Ch and he refused at the end to come to EY, saying that if he visits Eida first, Mossad people will not read Mishna Berurah and vice versa, and he would like all of them to read it.