Prayer, by definition is; "a solemn request for help or expression of thanks addressed to God or an object of worship." So, this begs the question: If you don't believe in God, then to whom are you directing your prayer…
Jackie Trapp Price
The funny thing about definitions is that they aren’t the inherent meaning of a word but a widely-agreed upon meaning, that can often change or evolve.
Another definition of prayer is “hope or wish”. So obviously further communication would depend on whether we can agree on the usage of the term prayer.
If you’re interested, Word by Word is a great read written by lexicographer Kory Stamper and really shaped their way I view and use dictionary definitions.
And to answer your question, am I praying to myself, I’m not sure. I suppose maybe on some level, although I definitely don’t use my own name. For example if I’m struggling to finish a chapter of my book, I’ll think/pray/meditate “allow me to find the motivation to continue” or something along those lines. I’m totally open to where that motivation comes from, whether it’s my inner self or some omnipotent energy. Either way is fine with me, it’s just that I don’t believe there is a god I need to be talking to. And I think even if you’re not talking to a god, it’s ok to put questions, concerns, and desires out there and let your openness to evolution and progress be known.