I've thought of that concept as well. A coin where everybody starts out with a small amount, then mine to keep it going but still have that amount banked to distribute. Hmmmm
Love the concept but: How do you confirm that distinct people are actually getting the coin while you distribute it? The best you could do is require passport IDs and have some agreement with embassies to confirm they are valid. Then how do you securely deliver to the recipients?
If we limit ourselves to those with an Internet connection, then we could say one coin for each with an IP address. Timekoin does this kind of thing. This is not perfect either with ISPs moving to NATs to conserve the IP address space each has.
what about a coin that has an amount of coins in circulation equal to the population of earth at any time in its life? The population is growing every day.
There is no way to distribute coins to everyone in the world, you might as well give up on that part.