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Yan, M.-L. (2015) De Sitter Invariant Special Relativity. University of Science and Technology of China, Hefei.

has been cited by the following article:

• TITLE: Cosmological Duality in Four Time and Four Space Dimensions

  AUTHORS: M. Medina, J. A. Nieto, P. A. Nieto-Marín

  KEYWORDS: Cosmology, (4 + 4)-Dimensional Gravitational Theory, Classical and Quantum Gravity

  JOURNAL NAME: Journal of Modern Physics, Vol.12 No.7, May 27, 2021

  ABSTRACT: 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.