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I think the assumptions that Rene used about how money moves through the network don't reflect reality. In the theoretical world that he created in the research, the lightning network can't work. In reality, it meaningfully supports bitcoin's scaling (we have such low fees now!) and other solutions can slot in to support its scale.
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What assumptions did you find unrealistic and which ones lead to the lightning network "not working"?
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What did you think of Rene Pickhardt's paper and what do you think are the best ways to address the issues raised?