Lets say 10 years for the remainder. At 144 blocks per day that is 6,307,200 blocks in 10 years. Divide 2.4 million BTC by that many blocks to get about 0.38 BTC per block.
there are 210,000 blocks per ~4 years
so 420k=8year
so 525k blocks for 10 years.... b'coz, math
also there are 1765275 coins left.
meaning 3.36 coins per block to share over 10 years
Create and maintain a list of all the bitcoin nodes that have been active for some period of time, maybe a year or some other time period. Node owners must have a certain amount of time invested before becoming eligible for payments.
ID registration in a pseudonymous world.. um. not gonna work.
and you cant just use a nodes user agent or IP. as thats just going to get cloned/spoofed.. change over time naturally thus untrackable reliably. unless you use some ID registration (staked address)
As each block is completed, select one node, maybe at random, and the owner of the node gets 0.38 BTC. Take that node off the list to received block rewards for some period of time to allow for sharing the wealth.
removing a cost mechanism for coin creation makes a coin no longer a value asset. but a lottery
of you want random payments based on length of staying in a system. go play the PoS lotto