No, I do not believe that the Japanese economy will surpass the United States economy. I say this because of Japan's history. Their economy has been in a stagnant state for over two decades. Furthermore their economy is firmly entangled with the United States economy so whatever happens to us will effect them as well.
The United States has more land and people than Japan could ever hope to support. Japan may continue to decrease the difference in the two economies but they will never pass the United States. This is because the United States wins by default due to all of the people within its economy.
The economy of Japan will never eclipse that of the United States. The Japanese economy has been stagnant for over twenty years since the housing bubble in the early 1990's. Although Premier Abe's recent stimulus has breathed some new life into the economy, Japan is still in trouble and it will never be able to grow as it had been doing in the 1980's.
The economy of Japan will never eclipse that of the United States of America. Japan's economy relies to heavily on the United State's economy, so if the United State's economy goes down, so does Japan. The better that Japan's economy gets, will be in direct correlation to how well the US economy is doing.
Although the Japanese economy has begun to rebound because of Abe's policies, it will never eclipse that of the United States. Japan's economy had been stagnant since the housing bubble in the 90's, and traditionally innovative companies like Sony and Toyota have been losing market share for some time. Japan's economy is revocering, but it is still in trouble.