> because all users must process all transactions within the blockchain

Reality shows, that's wrong. Bitcoin's security doesn't require verification to 
scale quadratically with users. Since the whitepaper, Satoshi was explicit 
about that phenomena. We can discuss nuances, yet it's overall plausible and 
empirically it's true: Only a tiny minority of users ever verifies the 
blockchain, still bitcoin works perfectly well. An honest economic majority is 
sufficient.

Yes, if you can, run your own node. Let's lower the barriers and let's help 
others to run their own nodes. Let's keep the blocks small and bitcoin's UTXOs 
set verifiable with consumer hardware. That's the core of decentralized 
security.

But let's face it: most people on this planet will never run a bitcoin full 
node. And it is not required.

Bitcoin-backed PoS-sidechains scale in terms of verification and storage just 
like any other blockchain. However, security is strictly better because 
double-spends are impossible.  A single honest validating user guarantees that 
attackers cannot do more harm than halting a sidechain. Thus, endusers won't 
have to validate all of each others' transactions at all.

For most endusers such sidechains' security is strictly superior to today's LN 
experience.

Let's face it: The most popular LN apps are fully custodial.
They have to be custodial because there is no way to make LN usable for regular 
users on unreliable phones.

Any payment channel which requires you to be always online excludes 99% of the 
world's population.
Any payment channel which potentially requires you to be able to pay high 
on-chain fees excludes most people, too. And on-chain fees keep rising.

Thus, no matter what Channel Factory constructions we build, they will not 
match most people's requirements. We will keep falling back to custodial 
solutions.
Excel tables connected to the LN. The LN is awesome as a settlement layer. In 
particular for anything like bitcoin banks that have been discussed since the 
beginning.
But why 1000 trusted Excel tables if we can have 1000 trustless sidechains?
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