This looks like a strong idea even though I don't understand much of the white paper details. Is Tau-Chain purely valued through this Agoras? If later someone wants to use Tau-Chain to solve some problem they buy Agoras (from market?) and pay for the usage of Tau-Chain network (how pricing the usage?). I understood inside Tau-Chain own rules can be set for that so can they make a rule to let someone use lot of computing power without charging anything? Or maybe I don't understand the logic where the value of Agoras might come..
Tau is completely independent in Agoras or its coins. Agoras, on the other hand, is an application over tau. Everyone can write apps over tau - that's the very intention. So formally, tau as for itself is not funded. Also it does not come with a coin, but coins can be programmed over it.
Since after all one has to develop economical part over tau, using tau's unique features, we're going to do it as Agoras. And we do need to distribute the coins somehow, hence the presale.
If one Agoras is around 0.0006 and market cap is 7M USD or 30000 BTC (where to see the market cap?), then little over 50M Agoras is owned by people? And there is 147B Agoras to be shared. So 0.034% of the total amount is shared at the moment? Are my conclusion/numbers correct?
No, the 42M intermediate tokens represent 100% of all future coins, no matter if they'll be 147B or any other number, and the prices refer to those intermediate tokens.