[1]https://medium.com/nanocurrency/nano-protocol-security-audit... [2]https://content.nano.org/Nano_Final_Security_Audit_v3.pdf
E.g. how do we know which blocklattice is the correct one? (in Bitcoin it's the longest chain, which contains most energy and thus can't be created from thin air). Are there enough incentives to keep the network running and decentralized? Etc.
In terms of the incentives to keep the network running without mining fees or proof of stake rewards, the Nano community and devs think that merchants and other services using Nano will save significant amounts of money by not having to pay credit card processing fees. This will incentivize those merchants and service providers to run their own node (which only costs around $60 per month) in order to keep the network healthy and decentralized. The lack of mining fees and proof of stake actually disincentivizes the kind of centralization we are seeing with Bitcoin mining.