Let's talk scaling!

We all know that scaling is the big elephant in the room, both for Bitcoin as well as Blockchain in general.

Original Bitcoin can realistically do about 3 transactions per second. To be a global payment platform it's going to be able to do at minimum 1000 times that. But 10,000 times that would be better. So let's say the goal is 10,000 times original Bitcoin's transaction throughput. How we gonna get there?

We've got segwit done, though actual implementation of segwit is only around 10%. But segwit only provides a roughly 2x increase. So with that Bitcoin still needs another 5000x throughput capacity.

Now 2x would have brought it down to needing an additional 2500x. Hopefully block size increase will happen at some point, but leaving that out for now.

I've heard of Schnorr signatures or something that will among other things give some capacity benefits.
Obviously Lightning Network. Anyone know how that is going? I've recently started to doubt whether LN represents a solid way to do Bitcoin transactions.
What else is there?

Anyways, let's discuss scaling!