Sorry, it wasn't entirely clear to me from the article. Is React Fiber going to be a completely new project, or is it just a name for the new release? It seems like the latter to me since there's no API changes...
It's a rewrite of the internals, particularly the diffing/reconciliation algorithm. React Fiber involves effectively re-implementing the JS call stack using a data structure called "fibers" to track work that needs to be done.
It's a major version release. v15.5 added deprecation warnings, v15.6 will add a few more warnings and fixes, and v16.0 will be a major release that includes the Fiber internals turned on. (This release path is described in the issues I linked in my earlier comment, particularly https://github.com/facebook/react/issues/8854 ).