How can I boost the refresh rate of my iPhone 5s display?

I would like a refresh rate higher than 55hz on my iPhone 5s display, because I happen to play geometry dash and it just so happens that a higher refresh rate gives you an advantage.

You don't, it's not a function that is available to end users - it may not even be available if you were to jailbreak the phone.

With an unmodified phone, it's not possible. With a jailbroken phone and some programming knowledge, then maybe. But probably not.