What if a drive chain becomes more valuable to the miners than the main chain? Could leverage then be applied on miners to censor transactions on the base Bitcoin layer?

For example, if a drivechain is locking up CBDC money and issuing a privacy focused stable coin to allow people to bypass CBDC surveillance it could become very popular and grow so that transaction fees for miners are an orders of magnitude greater than mining Bitcoin on the base layer. The government could threaten to erase the held CBDC if miners don't censor Bitcoin transactions on the main chain. This would cause a fork, with the majority of mining power going to the fork that is censoring transactions in order to be able to mine fees on the drivechain holding the CBDC. The smaller, non-censoring fork would be vulnerable to 51%attack

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The drivechain would have its own consensus mechanism and miners.

Aren't drivechains proposed to be bind merge mined with Bitcoin?

Yep, but in this model the sidechain has its own miners who produce blocks and collect fees.

The multiple sidechains then compete in an auction to pay the highest Bitcoin transaction fee so that their hash is included in the base layer blockchain. This is only required to peg out of the sidechain and withdraw BTC back to the base layer.

In your example, the CBDC administrators could censor any transaction they like within their sidechain and do not require participation or collusion from Bitcoin miners.