You can enjoy the view of Mt. Fuji, an independent highest mountain in Japan from Shinkansen (Bullet Train) between Tokyo and Nagoya. Personally, I believe in case if I could see it, I would have good luck in near future. It was cloudy when I left Tokyo so I did not expect it too much but I could see it half! What does it mean to me? I try to think it positive, of course!
I am not religious but to believe some power in big mountain, tree or nature is based on an indigenous religion based on the worship of nature. It is popular that many of Japanese try to reach the summit (3776m/12388feet) in the New Year and catch the famous first sunrise.