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• W2076125896 abstract "The universe exhibits two striking manifestations, (a) immense complexity and (b) an astonishingly high scale-free precision. Since a cryptographic system based on the modular arithmetic of a finite field can provide a mathematical structure matching these two cardinal characteristics, it is natural to evaluate the theoretical possibilities of a cryptographic analysis of physical phenomena. The organization of the particle mass scale provides a particularly suitable test of this idea, since the cryptographic approach also has the inherent feature that divergences are fully barred, thereby eliminating the need for ad hoc procedures of renormalization. This article (1) shows how such a cryptographic concept can be implemented and (2) demonstrates its surprising ability to synthesize the description of a broad range of phenomena through the development of an interlocking set of quantitative findings. It is found that a cryptographic theoretical framework based solely on two physically anchored parameters, a modulus P α and a corresponding primitive root g α , can simultaneously achieve six goals. Specifically, it (α) unites the concepts of mass and space, (β) organizes the physical mass scale in a group structure, (γ) produces a quantitative concordance of findings linking the cosmic and micro-scales that includes values for the fine structure constant α and the unified strong-electroweak coupling constant α*, (δ) respectively gives prospective magnitudes of 0.808 meV and 27.68 meV for the rest masses m ν e and m ν μ of the electron (ν e ) and muon (ν μ ) neutrinos, (∊) specifies a symmetry condition that yields an exact predicted value for the Higgs particle mass that lies above 10 18 GeV, and (ζ) enables the formulation of a direct physical connection between the anomalous flavor (ν e /ν μ ) transforming propagation of solar neutrinos and the existence of a positive cosmological constant Λ. These results are uniformly in agreement with all corresponding observational data." @default.
• W2076125896 created "2016-06-24" @default.
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• W2076125896 date "2003-09-20" @default.
• W2076125896 modified "2023-09-27" @default.
• W2076125896 title "Cryptographic Unification of Mass and Space Links Neutrino Flavor (ν_e/ν_μ) Transformations with the Cosmological Constant Λ" @default.
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• W2076125896 doi "https://doi.org/10.1142/s0217751x03016392" @default.
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