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Today, the Korean Empire claims the Japanese Kankoku prefectures as its own, on the basis that before the Tragedy of 1905 as they call the Treaty of Portsmouth, the southern portion of the Peninsula was indeed part of a unified Korea.
China, who wishes to reclaim Taiwan and Macau from Japan, supports Korea's claim, as does the Irish Republic. Britain serves as Japan's biggest advocate on the international stage.
Aside from 1905, what opportunities could lead to a unified Korea? Bonus points in Korea is independent rather than Japanese.