WADR, Brisk does not provide a unifying theory . It divides into 2 dinim. Similalrly, RBBL, who was one of the greatest non family Talmidim is famous for his deciding as to what can be asked and what does not need to be asked. The scientific method is primarily based on the empiricism it contains just like the historical method. I do not see any connection to Reb Chaim whose words are Torah based not empirical or historical truths.
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