I (think to) understand that proof-of-work is the process through which transactions are verified and the health of the network is being ensured.
I also (think to) understand miners get bitcoins for successfully verifying transactions as a reward.
But can the actual mining of coins (in a fork) be separated of proof-of-work in the context of transaction verification?
Like for example a hardware device generating coins with a different ruleset (e.g. let's say for simplicity: a car drives 100miles --> generates one coin). If that would be possible, would transaction verification still be possible or is it intrinsically linked and in itself one process?
Hope I am making myself understood. Never mind if the question is making a fool of me.