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In a cryptic tweet,Ethereumco-founder Vitalik Buterin introduced what he called new math.The series of equations could simplify the process of making cryptographic proofsandthe industry has various interpretations for the statements.

Vitalik Buterins tweet listed several unconventional equations like 2 + 2 = 0 and 420 * 61779 = 1, which atfirst glance,defy basic arithmetic principles.

However, according to Adam Cochran, Partnerat Cinneamhain Ventures, these equations could illustrate the concept of modular arithmetica system wherenumbers wrap around upon reaching acertainvalue, much like the hours on a clock.

In modular arithmetic, operationsare carried outfor a modulus. Cochran uses a clock as an analogy: just as the hour resets to zero after 12, calculations in a modular system reset after reaching the modulus. This system could explain equations like 2 + 2 = 0 under modulo 4.

Cochran speculates that adopting modular arithmetic could lead to more efficient and compact calculations within blockchain systems.

He notes, Using modulo math should mean operations are less computationally expensive. So if we want to use zk-proofs broadly, weneed toreduce the computational power needed to prove them on general systems.

According to the executive, efficiencyis particularly valuable in cryptographic applications like zero-knowledge proofs, where reducing computational overhead can enhance performance and scalability.

Using modular arithmetic could alsodecrease the computational power needed to execute cryptographicproofs.This would allow for quicker and less resource-intensive transactions. This reduction incomputational demand means that blockchain networks can potentially handle more transactions with the same amount ofhardware,or lower the hardware requirements altogether.

As per the interpretation by Cochran, the predictable nature of modular arithmetic could simplify the verification of complex cryptographic proofs.

Modular arithmetic could also reportedly enhance data-packing strategies. The strategyallows for optimizingdata storage and transmission across blockchain networks for efficiency.

IfEthereumintroduces future upgrades that borrow concepts laid down by Buterin in the post, it might ease the verification time and cost on the blockchain.Thereby making the base layer more scalable and efficient.But, the concept aims to make blockchains interoperable.

Cochran states,And soinshort, the fact that2+2=0,might bethe reasonwhy one day, you can send a fast, low cost, trustless transaction between two distinct blockchain systems in a mathematically provable way.

To fully integrate Vitalik Buterins suggested new math,EthereumVirtual Machine (EVM) would require modifications to support these operationsnatively.

In March 2023,EIP-6690: EVM Modular Arithmetic Extensions (EVMMAX)was authoredby Jared Wasinger and Alex Beregszaszi.

EIP-6690 and EIP-6601 are part of theEthereum Cancunupgrade,that introduced new operations to the Ethereum Virtual Machine (EVM) for improved efficiency in handling modular arithmetic. The upgrade aimed to improve Ethereums computational capabilities andisalsolinkedto broader improvements in the networks consensus layer.

Vitalik Buterins introduction of new math could potentially make Layer 1 blockchains more efficient and scalable.

The industry interpretation suggeststhat itcan lead to efficient cryptographic proofs and data processing. Therefore, they can dramatically reduce the computational burden and enhance the scalability of networks.

To fully leverage the potential of Vitalik Buterins new math forEthereum, further explanations from Buterin would be necessary.Thiswould help clarify how these mathematical concepts arebeingintegratedinto Ethereums updates.

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Vitalik Buterin Promises Easier Ethereum Proofs with Bizarre "New Math" - CCN.com