[betterunix2]

"Internet routing requires addresses to be allocated uniquely, but if the addressing function were captured by a single government or company"

Technically it is so captured -- IANA is the root of the hierarchy that distributes both IP address assignments and ASN assignments -- and the RIRs are effectively centralized authorities in their regions. Thus far it has not been a problem.

With a larger address space and longer ASNs you could decentralize the entire process. Basically, subnets and ASNs would be hashes of public keys, and you would use a path-vector protocol where the NLRIs contain NIZKs proving knowledge of the secret keys and asserting who the NLRI was sent to at each hop (identified by ASN). It is not current being considered because (1) it would greatly increase the cost of routers and related infrastructure and (2) thus far there is no immediate need.