This is the goal. Without the option to arbitrage price will be controlled by dishonest CEX.

I guess one trade every ten minutes should be enough to start the independence movement.

CEX only do more on paper.

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That would be an average of 144 trades per day and that's not nearly as far off as one trade per minute or 1,440 trades per day, but it's still a ways away. I guess with that level of trading you think that we could have our own independent order book and then any price deviations between centralized exchanges and us would be arbitrage.