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The normal operation of Ethereum and other blockchains is to Store new transactions in a mempool, Distribute the bucket, and then mine contents into a block picked from the bucket based on priority of the Gas fee and execution time to fire within the 15 Seconds execution window. The big Question I am find difficulty answering after long search and much reading is what method does the Chain use to Synchronise those Buckets? Does anyone have a flow chart, Description or link to an article that explains the mechanism. Some problems come to mind that I don't have clarity on how its solved, for example. When a node receives a new transaction, what is the logic for it to be transmitted around the network? is it a Pull Push, Transmit or other Synch method, that handles out of sync issues, such as keeping track of what transactions have already been synched to its neighbor.

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The normal operation of Ethereum and other blockchains is to Store new transactions in a bucket

Ethereum does not store transactions in a bucket and this is not standard terminology.

The Ethereum transaction life cycle is explained here.

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