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Currently there are 610,043 burnt ETH, but address(0) has a balance of 11,277 ETH. Why this zero address has so little Balance if it's a blackhole for all ETH ?

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ETH that is burned is removed from the protocol, not sent to the 0 address. See here (twitter thread) and in the EIP1559 proposal:

note that the base fee is not given to anyone (it is burned)

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    Interesting thread, "..it happens in the protocol by just removing the balance from the sender and not adding it to the miners balance" SO It's not that they explicitly do something to burn them, but the opposite, just remove them from the balance and forget about them.
    – gneric
    Commented Oct 24, 2021 at 15:01

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