The Ethereum State Transition Function, formally denoted as $$Y(S, TX) \rightarrow S'$$, defines how the Ethereum blockchain moves from a current state $$S$$ to a new state $$S'$$ after executing a transaction $$TX$$. It is the core mechanism for processing and validating state changes.

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The Ethereum state refers to the current status of all accounts, balances, smart contract codes, and storage on the Ethereum blockchain. It is represented as a large, cryptographic data structure known as a Modified Merkle Patricia Trie. This state is updated dynamically each time a new block of transactions is processed by the network.

Ethereum State

A Modified Merkle Patricia Trie is a specialized cryptographic data structure used by Ethereum to store and verify its state. It combines the features of a Merkle tree and a radix trie, enabling efficient, secure, and verifiable storage of accounts, balances, and smart contract data.

Modified Merkle Patricia Trie

Ethereum State Transition Function

In Ethereum, the state is made up of objects called "accounts", with each account having a 20-byte address and state transitions being direct transfers of value and information between accounts. An Ethereum account contains four fields:

-The nonce, a counter used to make sure each transaction can only be processed once
-The account's current ether balance
-The account's contract code, if present
-The account's storage 

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