Yep I can imagine this type of things but my question was more theoretical, can we imagine a way to make it work almost totally without internet except for initial node synching IBD (which could be semi trusted maybe with SPV like tech ?)
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It comes down to how you want to solve the double spend problem. Bitcoin time chain is based on global consensus, so a global network of some sort. Lightning moves the double spend to cooperative peer to peer among two sides of the channel. No internet required in most cases. Ecash moves it to the mint(s). No internet required if you can reach the mint.