Cosmological Duality in Four Time and Four Space Dimensions
Cosmological Duality in Four Time and Four Space Dimensions作者机构：Facultad de Ciencias Físico-Matemáticas de la Universidad Autónoma de Sinaloa Culiacán Sinaloa México
出 版 物：《Journal of Modern Physics》 (现代物理（英文）)
年 卷 期：2021年第12卷第7期
页 面：1027-1039页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Cosmology (4 + 4)-Dimensional Gravitational Theory Classical and Quantum Gravity
摘 要：We describe a duality transformation in a cosmological model of four time and four space dimensions ((4 + 4)-dimensions). In particular, we show that via the Fourier transform, at the level of the zero-point energy of quantum mechanics and the de Sitter space, a Gaussian distribution in four dimensions leads to a dual Gaussian distribution also in four dimensions, with duality transformation , in the standard deviation σ. Moreover, we show that as a consequence of such a duality in σ a duality of the cosmological constant Λ can be obtained. Finally, we comment on the possibility that both the oriented matroid theory as well as the surreal number theory are related to the formalism presented in this work.
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