Let's say all traffic in the world is monitored and recorded by a three letter agency. Any attempt at anonymity against this global adversary is hopeless with TOR, as traffic timing will eventually reveal to the global adversary who connects where. However, what if everybody sends streams of random data to each other continuously, and the actual data is encapsulated within these streams when the data is to be transmitted. If the servers know where the data starts and ends within each stream, does the global adversary know that too, and can therefore break the anonymity by timing comparisons? Surely the adversary cannot own ALL servers in the world but only a percentage, given a percentage A% how many hops are enough to reduce the probability of the anonymity being broken to 1 in a 1000 or less?