Shim Maron provided a link to a post from APM titled We Need to Talk About Bodies of Knowledge.
Here's my counter. There are Principles, Practices, and Processes that are immutable for all projects in all domains for all "methods" of managing the project. That's why they are called Immutable.
No doubt the BoK's have gone off track when seen as "prescriptive" for working projects. But the basis of knowledge needed for success is still there in the Principle, Practices, and Process. A test of this approach is similar to the 12 principles of the Agile Manifesto.
The agile manifesto created a new movement in software development, but lost its way when there were no underlying principles. PM BoK's have lost their way because they don't start with Immutable principles, practices, and processes. They start - both APM and PMI - with prescriptive knowledge areas and process groups which get confused with methods.
I would conjecture that the 5 PPP's have a matching document in the OGC P3M3 which was used in the UK for some time. It is a maturity assessment vehicle, but starts with core principles. None of the BoK's to date start with "core principles," in the way Plato did with "what is a chair."