1. Lumoz Modular Computing Layer

The Lumoz protocol is a globally distributed modular computing protocol dedicated to providing advanced zero-knowledge proof (ZKP) services, supporting the development of ZK technology and providing strong computing power support for cutting-edge technologies such as ZK and AI. In the face of current challenges regarding computing costs in the zero-knowledge computing field, the Lumoz protocol leverages its rich experience in ZKP, innovatively optimizing circuits and algorithms, significantly enhancing computing efficiency, effectively addressing the high costs and low efficiency of Rollup projects, and lowering the barrier to entry for ordinary users in the zero-knowledge computing market.

Currently, Lumoz is a pioneer in the Rollup field, becoming a leading provider of top-notch zero-knowledge (ZK) computing power with its modular computing layer network. It has already provided ZKP computing power support for several projects, including Merlin. Lumoz is now capable of meeting the increasing demand for computing power support.

The Lumoz modular computing layer serves as a computing module, featuring the following significant characteristics:

Decentralized Computing: The Lumoz computing layer operates in the form of a blockchain network, employing a hybrid consensus mechanism of Proof of Stake (POS) and Proof of Work (POW) to ensure decentralized computing capabilities. This architecture provides continuous ZKP computing power for zkRollups and a secure data processing and model training environment for AI applications.

Strong Computing Stability: Lumoz's computing nodes consist of thousands of GPU/CPU nodes, ensuring not only continuous computing capability for ZKP but also supporting the large-scale parallel computing required for AI, safeguarding the efficient execution of computing tasks.

Strong Compatibility: Lumoz is highly compatible with mainstream Rollup solutions in the blockchain industry (such as Polygon zkEVM, zkSync, Scroll, Starknet) while meeting various computing needs in the AI field, providing robust support for different technology stacks through a unique computing mechanism.

Cost Efficiency: The combination of Lumoz's decentralized computing layer and a well-designed economic model achieves low-cost ZKP generation, and this cost efficiency is equally applicable to AI computing tasks, providing users with economically efficient AI and blockchain computing solutions.

2. Lumoz Accelerates the Arrival of Ethereum 3.0

In Vitalik's The Verge roadmap, the SNARKification of Ethereum is an important task aimed at enhancing Ethereum's scalability and decentralization through zero-knowledge proof transformation of the consensus layer and execution layer. This process is particularly crucial in the vision of Ethereum 3.0. Vitalik's interpretation admits that the transformation of the consensus layer is a challenge that needs continuous consideration and optimization in subsequent work.

The Beam Chain proposal launched by Justin Drake at DevCon is a response to this challenge, providing a possible path to achieve the Snarkification of the consensus layer. By introducing SNARK proofs and post-quantum cryptography, Beam Chain not only lowers the staking threshold but also shortens block confirmation times, bringing greater decentralization and higher performance to Ethereum.

The Goal of BeamChain

Block Production Goals:

1. Validator Isolation: Implement Attester Proposer Separation and execution auctions to separate validators from block production.

2. Accelerate Slot Time: Shorten Slot time to 4 seconds to increase block generation speed.

Staking Goal:

1. Lower Staking Threshold: Lower the staking threshold from 32 ETH to 1 ETH.

2. Achieve Fast Finality: Realize fast finality through single slot finality.

Cryptographic Goals:

1. Chain's Snarkification: Integrate zkVM to enhance the system's privacy and security.

2. Long-term Security: Ensure the security of Ethereum's cryptography can last for decades or even centuries.

BeamChain is a consensus layer upgrade proposal for Ethereum 3.0, significantly enhancing the security, efficiency, and scalability of blockchain through innovative technologies such as zero-knowledge proofs and post-quantum signatures. These improvements not only enhance transaction privacy and decentralization but also reduce validation costs and prepare for future challenges posed by quantum computing. This series of innovations brings new development opportunities to the blockchain industry.

Lumoz plays a key role in the implementation of BeamChain, driving the realization of multiple goals through its modular design and efficient computing power:

Efficient Implementation of Validator Isolation: Lumoz's modular architecture provides efficient computing power for the separation of validators and block production. It optimizes the operational processes of validators, enhancing the overall decentralization and security of the network.

Enhance Block Generation Speed: Lumoz's high-performance execution layer supports shortening Slot time. This acceleration is crucial for improving block generation speed, ensuring that the network can respond quickly and process more transactions.

Strong Support for Chain's Snarkification: By integrating zkVM, Lumoz provides powerful computing capabilities to support complex zero-knowledge proof computations. This support not only enhances the system's privacy but also improves overall security, ensuring the confidentiality and integrity of transaction data.

Ensure Long-term Security: Lumoz's computing power infrastructure provides sustained support for the cryptographic security of Ethereum, ensuring that its security remains unthreatened for decades or even centuries. This long-term security assurance is crucial for maintaining user trust and network stability.

Economically Efficient Computing Support: Lumoz achieves low-cost ZKP generation through a decentralized computing layer and a well-designed economic model. This cost efficiency is not only applicable to blockchain computing tasks but also provides economically efficient solutions for AI applications.

Through these contributions, Lumoz not only enhances the functionality and performance of BeamChain but also lays a solid foundation for the future development of the Ethereum ecosystem. It achieves breakthroughs in the impossible triangle problem of traditional blockchains through efficient validator computation, accelerated block generation, enhanced privacy and security, and economically efficient computing support. This enables Ethereum to significantly improve network scalability and user experience while maintaining decentralization and security, providing greater space for future innovations and applications.

3. Summary

Lumoz is a pioneer in the modular computing layer field, providing decentralized ZKP computing power to advance the development of Ethereum 3.0 and Beam Chain. Against the backdrop of the long-term focus on execution layer optimization in the Ethereum community, Lumoz's technology promotes the Snarkification of the execution layer and opens the door for the Snarkification of the consensus layer. The proposal of Beam Chain will guide the community's attention to the transformation of the consensus layer, bringing more exciting innovations.

By combining zero-knowledge proof technology and post-quantum cryptography, Lumoz provides stronger decentralization and higher performance for the Ethereum ecosystem. Its strong computing stability and low-cost ZKP generation capabilities, coupled with multi-chain compatibility and efficient computing power, offer economically efficient solutions for blockchain and AI applications. These advantages collectively drive innovation and expansion within the Ethereum ecosystem, completing a key piece of the puzzle for Ethereum's Snarkification.