As I experiment and learn, I realized something that I wanted to confirm. It seems as though the network doesn't need to register the existence of a wallet in any way for it to become active and usable.
For example: A keypair could be generated offline away from the Internet and the associated wallet address could have programs run on it and/or get funded, etc, without the network knowing or caring that you had "discovered" or generated the keypair for that wallet address offline. At any given moment, the valid secret key can be used to cause that wallet to be a signer for some transaction. Nothing about the network needs to know anything ahead of time about that wallet for it to be used in this way.
There's probably an academic word that describes this property of wallets that I have described.
My question here is, do I understand this correctly or is there other feedback that can help my understanding about this become more precise?