In the common theory of the Universe, the redshift
of the light wavelength from distant stars indicates the speed of the star. In
this study, the model of the Universe is the surface volume of the four-dimensional
sphere, and the shape of the Universe results in the most of the redshift of
light wavelength. Therefore, there is no dark energy accelerating the Universe.
The surface of the four-dimensional sphere is a volume, and this volume is a
good model for the Universe. The surface
volume of the four-dimensional sphere has been explained by a model of
four-dimensional cube, within which the forming of surface volume can be easily shown. The model of four-dimensional cube
containing six side cubes is ingenious for explaining the structure of the four-dimensional Universe, but it is not enough
because the four-dimensional cube has not six side cubes, but eight side
cubes. Therefore, in this study a better method has been created to construct
the four-dimensional cube. Our three-dimensional Universe is the surface of the
four-dimensional sphere Universe. The volume
of our three-dimensional Universe is finite, and beneath it is the
infinite volume four-dimensional Super Universe. Two important basic formulae
have been derived: The surface volume of the four-dimensional sphere is π3R3 in which R is the radius of the sphere, and the
fourth-power volume of the four-dimensional sphere is 1/4 π3R4.
The volume of the Universe has been calculated
π3R3 = 62 ×1030 ly3. Time as the fourth
dimension of the space takes effect only near the speed of light, and therefore it has been
ignored in this study.
References
[1]
Rahikainen, A. (2021) The Solution to the Dark Energy Mystery in the Universe of Four Distance Dimensions. World Journal of Mechanics, 11, 95-110. https://doi.org/10.4236/wjm.2021.115008
[2]
Ananthaswamy, A. (2022) Cosmic Conflict. Scientific American, 327, 60-65.
[3]
Rahikainen, A. (2020) Galaxy Rotation in the Space of Four Distance Dimensions. World Journal of Mechanics, 10, 83-92. https://doi.org/10.4236/wjm.2020.107007
[4]
van Albada, T.S., Bahcall, J.N., Begeman, K. and Sanscisi, R. (1985) Distribution of Dark Matter in the Spiral Galaxy NGC 3198. The Astrophysical Journal, 295, 305-313. https://doi.org/10.1086/163375
[5]
Rubin, V.C. (1983) The Rotation of Spiral Galaxies. Science, 220, 1339-1344. https://doi.org/10.1126/science.220.4604.1339
[6]
Jarnestad, J. (2019) Grapgics, the Royal Swedish Academy of Sciences, ML/HS. Helsingin Sanomat. Fysiikan Nobelistit Oivalsivat, Tiede. https://www.hs.fi/tiede/art-2000006265660.html
[7]
Wollack, E.J. (2012) Timeline of the Universe Image. NASA/WMAP Science Team.
[8]
O’Callaghan, J. (2022) Breaking Cosmology. Scientific American, 327, 28-45.
[9]
Rahikainen, A. (2023) Theory to the Mystery of the Super Massive Black Holes. World Journal of Mechanics, 13, 107-126. https://doi.org/10.4236/wjm.2023.135006
[10]
Popper, K. (2002) Conjectures and Refutations: The Growth of Scientific Knowledge (Routledge Classics). Routledge, London.
[11]
Rahikainen, A., Avela, J. and Virmavirta, M. (2012) Modeling the Force-Velocity Relationship in Arm Movement. World Journal of Mechanics, 2, 90-97. https://doi.org/10.4236/wjm.2012.22011
[12]
Rahikainen, A. and Virmavirta, M. (2014) Constant Power Model in Arm Rotation—A New Approach to Hill’s Equation. World Journal of Mechanics, 4, 157-169. https://doi.org/10.4236/wjm.2014.46018
[13]
Rahikainen, A., Virmavirta, M. and Ranta, M. (2016) Hill’s Equation in the Arm Push of Shot Put. British Journal of Applied Science & Technology, 18, 1-12. https://doi.org/10.9734/BJAST/2016/30766
[14]
Rahikainen, A. (2019) Constant Power Solution of Hill’s Equation. Book Publisher International. https://doi.org/10.9734/bpi/mono/978-81-940613-2-8
[15]
Rahikainen, A. and Virmavirta, M. (2019) Hill’s Equation in Arm Push of Shot Put and in Braking of Arm Rotation. In: Rusu, T., Ed., Advances in Applied Science and Technology, Vol. 6, Book Publisher International, 49-75.