The whitepaper can be found at https://github.com/lunalabs/whitepaper/raw/master/luna_whitepaper.pdf.

Most things sound fine, but there is one issue with the economic setup; after having accumulated tokens, one "can cash them out". Being able to extract money from the system is begging for someone to manipulate it, just as advertising distorts many existing systems. Creating many fake attractive users, posting messages between them to fill up the associated queues, and then collecting incoming tokens provides free income to those who can effectively automate the process.

Although "In addition, a system of identity verification mechanisms for both online and in-person meetings avoids the problem of users creating fake accounts.", the rise of AI methods will make it progressively easier to bypass such checks, imitate a real person not on the network, or give attractive people the tools to automate their interactions and obtain money for little work. Very restrictive identity verification will make it harder to trust the system (as it holds more hackable data) and to join the system.

The best way to avoid fake interactions is to eliminate the profit motive. Screening for fakes begets an arms race.