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Ternary Probability as a Natural Generalization of 3-Space
2026-08-03
Articles written by E. T. Whittaker in 1903 and 1904 suggest the natural generalization of 3-space as ternary probability. This is proven using basic mathematical statements and their associated transition as main eigenvalues from the product of the symmetric group S2 and the Klein four-group Z22 to the dihedral of order 12 D6 and related properties. A generalization of physical theory is suggested.
Ссылка для цитирования:
Titleman M. 2026. Ternary Probability as a Natural Generalization of 3-Space. PREPRINTS.RU. https://doi.org/10.24108/preprints-3115968
Список литературы
1. Du, Zenan, Fenjin Liu, Shunyi Liu, and Zhongmei Qin. ”Graphs with n-1 main eigenvalues.” Discrete Mathematics 344, no. 7 (2021): 112397.
2. Titleman, M. (2026). The Duality of Whittaker Potential Theory: Fundamental Representations of Electromagnetism and Gravity, and Their Orthogonality. arXiv preprint arXiv:2205.08309v9.
3. Whittaker, E. T. (1904). On an expression of the electromagnetic field due to electrons by means of two scalar potential functions. Proc. Lond. Math. Soc, 1, 367.
4. Whittaker, E. T. (1903). On the partial differential equations of mathematical physics. Mathematische Annalen, 57(3), 333-355.