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Home > Mathematics and Science Textbooks > Chemistry > Physical chemistry > Constructive Decomposition: Exceptional Symmetries, Factorization & The Mathematics of Unified Physics
Constructive Decomposition: Exceptional Symmetries, Factorization & The Mathematics of Unified Physics

Constructive Decomposition: Exceptional Symmetries, Factorization & The Mathematics of Unified Physics


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About the Book

This book advances beyond the theoretical foundations established in six prior publications by providing constructive, implementable frameworks that transform abstract mathematical concepts into practical computational tools with immediate applications across multiple scientific domains. Materials Science and Radiation Damage The framework offers unprecedented capabilities for designing radiation-resistant structural materials through its ability to model the quantum mechanical aspects of radiation damage from first principles. By providing accurate prediction of material degradation under neutron irradiation, it enables rational design of materials with enhanced radiation tolerance, potentially extending reactor component lifetimes. The geometric understanding of radiation effects enables accelerated materials qualification, reducing the decades-long qualification process for new nuclear materials and providing a foundation for next-generation computational tools that can dramatically improve simulation efficiency. Post-Quantum Cryptography The quaternionic-octonionic framework enables novel cryptographic constructions with significant advantages over traditional approaches. By encoding prime cycles as Stiefel-Whitney classes in Clifford-algebraic holonomy bundles, it provides a geometric realization of arithmetic invariants that can be leveraged for post-quantum security. The framework's 28-cycle Moufang protocols enable lattice-based cryptographic schemes that achieve 25% key size reduction compared to traditional approaches while maintaining security against quantum adversaries. Topological Quantum Computing The framework provides a rigorous foundation for topological quantum computing through octonionic anyons with G₂-equivariant braid representations8. These non-Abelian statistics emerge from the 28-cycle through braid group representations ρ B₂₈→Aut(


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Product Details
  • ISBN-13: 9798289190543
  • Publisher: Independently Published
  • Publisher Imprint: Independently Published
  • Height: 279 mm
  • No of Pages: 130
  • Spine Width: 7 mm
  • Weight: 318 gr
  • ISBN-10: 8289190549
  • Publisher Date: 22 Jun 2025
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Sub Title: Exceptional Symmetries, Factorization & The Mathematics of Unified Physics
  • Width: 216 mm


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