i have thought of something new. just now an idea? possibly a new idea for proof-of-work combined with proof-of-stake systems?

i way to dynamically reward both proof-of-work and proof-of-stake by setting time periods (much like bitcoin halvings, but dynamically change). when users of the blockchain network mine coins via pow system and as they mine, the difficulty goes up, then the pos system's difficulty would go down, vice-versa. (this could initially promote the miners to move their mined coins towards staking their coins via the pos system, vice-versa). the only thing i have no time or the knowledge to think up on how when pos difficulty goes up and pow difficulty goes down, to incentivise them to move their coins towards pow to mine? im stuck on this part, because their needs to some other system in place to do this (a missing piece of the puzzle?) and i have no ideas/knowledge or technical skills and iam not a coder, to progress this idea of mine

is there a such system available?

A Dynamic Proof-of-Work and Proof-of-Stake Reward System?

Any other blockchains which have the pieces of this puzzle?

(conversate in here in this forum thread which i have created today. you can share ideas and talk more broadly about this idea with each other).