I understand! So the coinbase transaction is just an output with no signatures that is rewarded to the person solves the hash which then gets transferred to the corresponding person's address in which they sign it while sending it which officially claims the reward. Is that about right? The address is also the hash of a public key.

When each new address is created does that create a new public and private key or is a person's private key always retained and reused no matter the change in the public key? Now I understand the coinbase transaction, the money supply creation, and more but the last thing is just what the creation of a new address entails.

Seriously, thanks everyone who helped to understand so far. I just couldn't conceptualize before the notion of creating something from nothing(the question of reality that still and will forever plague man) but I see now the nature of it in relation to BTC.