Abstract
Because the Universe is both finite and atomic it is desirable to have a geometry which satisfies most of the properties of Euclidean or non-Euclidean geometry for which the number of points on each line is finite. This paper presents essential features of such geometries. The beginning of finite mechanics is present through the application to the finite circular pendulum and to the harmonic polygonal motion, for which time is also discrete.
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© 1984 D. Reidel Publishing Company, Dordrecht, Holland
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De Vogelaere, R. (1984). Finite Euclidean and Non-Euclidean Geometry with Applications to the Finite Pendulum and the Polygonal Harmonic Motion. A First Step to Finite Cosmology. In: Berger, A. (eds) The Big Bang and Georges Lemaître. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6487-7_29
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DOI: https://doi.org/10.1007/978-94-009-6487-7_29
Publisher Name: Springer, Dordrecht
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