[despair3435]

The routing algorithm can be chosen in every layer, as addressing is per layer. We didn't reinvent the algorithms. So it would still be link state, distance vector, geometric routing, ... Since the addressing is internal to the layer, you probably won't have the same issues with geometric routing as currently in TCP/IP.

Ouroboros can run over the current internet so you can reuse existing hardware, but the end goal is to get rid of TCP/IP. We have layers over L1 and L2. In lab setups we never run it over TCP/IP.

[0xdeadbeefbabe]

If there were an internet what routing algorithm would it use?

[hardwaresofton]

As the previous commenter stated, since you can choose the routing algo at every layer, you could completely reproduce the current internet -- or choose to implement something better on some axis.