As far as I understand it, this paper is about
synchronization of oscillators, i.e. synchronization of (abstractions of)
physical systems.
In this sense, I doubt that there is a direct application to distributed consensus, though it is possible that some insanely clever person might get an inspiration from this paper concerning how one could apply ideas that were used to come up with this proof
- to show how a specific type of protocol is able to reach consensus under weaker conditions
- to build a new type of algorithm for distributed consensus.
