Oh, Fibonacci numbers, for you guys who don't know, are referred to as the "Golden Formula". It is a naturally recurring set of proportional numbers that are found throughout nature. Flower pedal designs, spirals in snail shells, designs on Pre-colombian / Mayan architecture. The places they are found are astounding.
So, applying it to a cyclical pattern like stocks are a no brainer.
Look it up. It may make you a believer. It also may make you a few extra bucks on any of your holdings.