What's the status of sidechain theory?

I only read the “Non-Interactive Proofs of Proofs of Work” paper, which is brilliant, but there are at least these pending problems:
1、What about Proofs of Proof of Stake?
2、How to prevent people generate funds on different chains using the same proof of fund burning?
Are these still open questions?

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There are huge strides to be made in side chains and other related concepts like sharding. I have ideas, but, I’m a wage slave with lots of personal responsibilities, and my research has fallen by the wayside : (

Yeah they haven’t published their research on this yet. I think Charles may have published a screenshot of the abstract or something on twitter. Really interested to read about this too.

This is only tangentially related but may satisfy you while you wait for a better answer