About the EIPs category

EIPs
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Discussions about specific EIPs (improvement propsals), and general proposals which may become EIPs. If applicable, specify the EIP issue # in the topic title.

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Abstract: This EIP proposes a framework for post-quantum cryptography in Ethereum based on the principle of individuation, focusing on preserving unique identity through the transition to quantum-resistant algorithms, while leveraging quantum indistinguishability properties for optimization.

Motivation: The threat posed by quantum computers requires a transition to post-quantum cryptography in Ethereum. However, this transition must preserve the unique identity of accounts and transactions, not just replace algorithms. The principle of individuation offers a philosophical framework to guide this transition meaningfully.

Specification:

  1. Haecceity Preservation Layer (HPL)
  • An abstract layer that preserves the “thisness” of each Ethereum identity, regardless of the underlying cryptographic algorithm.
  • Implementation using immutable unique identifiers that persist through migration.
  • Bidirectional mapping between current ECDSA addresses and future post-quantum addresses.
  1. Quantum Indistinguishability Optimization (QIO)
  • Mechanisms that leverage quantum indistinguishability to optimize batch verifications and signature aggregations.
  • Implementation of verification schemes based on quantum statistics (Fermi-Dirac, Bose-Einstein) for transactions with similar characteristics.
  • Use of conceptual quantum entanglement for compression of correlated signatures.
  1. Processual Individuation Protocol (PIP)
  • A dynamic transition protocol that treats migration as a continuous individuation process.
  • Phases:
    • Pre-Individual Phase: Coexistence of classical and post-quantum systems
    • Individuation Phase: Gradual migration with identity preservation
    • Post-Individual Phase: Fully post-quantum system with preserved identities
  1. Metastable State Compression (MSC)
  • Algorithms that exploit metastable states to optimize quantum data compression.
  • Implementation using Simondon’s notion of potentiality and tension resolution.
  • Dynamic adaptation based on quantum state characteristics.

Technical Implementation:

  1. Extension of EIP-7932:
  • Incorporate haecceity and individuation concepts as guiding principles
  • Add support for the Haecceity Preservation Layer
  • Implement optimizations based on quantum indistinguishability
  1. Integration with ZKnox’s work:
  • Utilize the already developed NTT optimizations
  • Extend to support the new individuation concepts
  • Implement the Processual Individuation Protocol using smart contracts
  1. New EVM Opcodes:
  • HAECCEITY_VERIFY: Verification based on preservation of unique identity
  • QUANTUM_COMPRESS: Compression based on quantum indistinguishability
  • INDIVIDUATE_MIGRATE: Facilitate dynamic migration between cryptographic systems

Expected Benefits:

  1. Identity Preservation: Maintain the unique identity of accounts and transactions through the cryptographic transition
  2. Resource Optimization: Leverage quantum properties to reduce gas costs and improve efficiency
  3. Smooth Transition: Framework for gradual migration that minimizes disruptions
  4. Philosophical Foundation: Robust conceptual basis to guide technical decisions

Challenges and Considerations:

  1. Conceptual Complexity: Translating abstract philosophical concepts into concrete technical implementations
  2. Compatibility: Ensuring compatibility with existing systems during transition
  3. Performance: Ensuring that new abstractions do not introduce significant overhead
  4. Adoption: Gaining community consensus on this philosophically grounded approach