We develop a cosmological model in a physical background scenario of four time and four space dimensions ((4+4)-dimensions or (4+4)-universe). We show that in this framework the (1+3)-universe is deeply connected with the (3+1)-universe. We argue that this means that in the (4+4)-universe there exists a duality relation between the (1+3)-universe and the (3+1)-universe.
References
[1]
Gardner, J.P., et al. (2023) The James Webb Space Telescope Mission. Publications of the Astronomical Society of the Pacific, 135, Article ID: 068001. https://doi.org/10.1088/1538-3873/acd1b5
[2]
McElwain, M.W., et al. (2023) The James Webb Space Telescope Mission: Optical Telescope Element Design, Development and Performance. Publications of the Astronomical Society of the Pacific, 135, Article ID: 058001. https://doi.org/10.1088/1538-3873/acada0
[3]
Kalirai, J. (2018) Scientific Discoveries with James Webb Space Telescope. Contemporary Physics, 59, 251-290. https://doi.org/10.1080/00107514.2018.1467648
[4]
Baker, W.M., et al (2023) Inside-out Growth in the Early Universe: A Core in a Vigorously Star-Forming Disc. arXiv: 2306.02472.
[5]
De Andrade, M.A., Rojas, M. and Toppan, F. (2001) The Signature Triality of Majorana-Weyl Space-Time. International Journal of Modern Physics A, 16, 4453. https://doi.org/10.1142/S0217751X01005432
[6]
Rojas, M., De Andrade, M.A., Colatto, L.P., Matheus-Valle, J.L., De Assis, L.P.G. and Helayel-Neto, J.A. (2011) Mass Generation and Related Issues from Exotic Higher Dimensions. arXiv: 1111.2261.
[7]
Mohaupt, T. (2022) A Short Introduction to String Theory. Cambridge University Press, Cambridge. https://doi.org/10.1017/9781108611619
[8]
Polchinski, J. (2005) String Theory. Cambridge University Press, Cambridge.
[9]
Nieto, J.A. (2016) Some Mathematical and Physical Remarks on Surreal Numbers. Journal Modern Physics, 7, 2164-2176. https://doi.org/10.4236/jmp.2016.715188
[10]
Nieto, J.A. and Espinoza, M. (2016) Dirac Equation in Four Time and Four Space Dimensions. International Journal of Geometric Methods in Modern Physics, 14, Article ID: 1750014. https://doi.org/10.1142/S0219887817500141
[11]
Medina, M., Nieto, J.A. and Nieto, P.A. (2021) Cosmological Duality in Four Time and Four Space Dimensions. Journal of Modern Physics, 12, 1027-1039. https://doi.org/10.4236/jmp.2021.127064
[12]
Nieto, J.A. (2011) Oriented Matroid Theory and Loop Quantum Gravity in (2+2)-Dimensions and Eight Dimensions. Revista Mexicana de Física, 57, 400-405.
[13]
Nieto, J.A. (2005) Towards Ashtekar Formalism in Eight Dimensions. Classical and Quantum Gravity, 22, 947-955. https://doi.org/10.1088/0264-9381/22/6/004
[14]
Nieto, J.A. (2016) Alternative Self-Dual Gravity in Eight Dimensions. Modern Physics Letters A, 31, Article ID: 1650147. https://doi.org/10.1142/S0217732316501479
[15]
Nieto, J.A. (2013) Qubits and Oriented Matroids in Four Time and Four Space Dimensions. Physics Letters B, 718, 1543-1547. https://doi.org/10.1016/j.physletb.2012.12.034
[16]
Avilés-Niebla, C., Nieto, J.A. and Zamacona, J.F. (2023) Black-Hole Duality in Four Time and Four Space Dimensions. Revista Mexicana de Física, 69, Article ID: 0107031. https://doi.org/10.31349/RevMexFis.69.010703
[17]
Nieto, J.A. and Madriz, E. (2019) Aspects of (4+4)-Kaluza-Klein Theory. Physica Scripta, 94, Article ID: 115303. https://doi.org/10.1088/1402-4896/ab2d96
[18]
Nieto, J.A. (2023) Schrödinger Equation—Fundamentals Aspects and Potential Applications. IntechOpen, London.
[19]
Nieto, J.A., Nieto-Marín, P.A., León, E.A. and García-Manzanárez, E. (2020) Remarks on Plucker Embedding and Totally Antisymmetric Gauge Fields. Modern Physics Letters A, 35, Article ID: 2050184. https://doi.org/10.1142/S0217732320501849
[20]
Nieto, J.A. (2004) Matroids and p-Branes. Advances in Theoretical and Mathematical Physics, 8, 177-188. https://doi.org/10.4310/ATMP.2004.v8.n1.a4
[21]
Nieto, J.A. (2006) Oriented Matroid Theory as a Mathematical Framework for M-Theory. Advances in Theoretical and Mathematical Physics, 10, 747-757. https://doi.org/10.4310/ATMP.2006.v10.n5.a5
[22]
Nieto, J.A. (2004) Searching for a Connection between Matroid Theory and String Theory. Journal of Mathematical Physics, 45, 285-301. https://doi.org/10.1063/1.1625416
[23]
Nieto, J.A. (2014) Phirotopes, Super p-Branes and Qubit Theory. Nuclear Physics B, 833, 350-372. https://doi.org/10.1016/j.nuclphysb.2014.04.001
[24]
Nieto, J.A. and Marin, M.C. (2000) Matroid Theory and Chern-Simons. Journal of Mathematical Physics, 41, 7997-8005. https://doi.org/10.1063/1.1319518
[25]
Nieto, J.A. and Leon, E.A. (2012) Higher Dimensional Gravity and Farkas Property in Oriented Matroid Theory. Revista Mexicanade Física, 58, 133-138.
[26]
Nieto, J.A. (2010) Qubits and Chirotopes. Physics Letters B, 692, 43-46. https://doi.org/10.1016/j.physletb.2010.07.010
[27]
Nieto, J.A. (2018) Duality, Matroids, Qubits, Twistors, and Surreal Numbers. Frontiers in Physics, 6, Article 41452. https://doi.org/10.3389/fphy.2018.00106
[28]
Avalos-Ramos, C., Felix-Algandar, J.A. and Nieto, J.A. (2020) Dyadic Rational and Surreal Number Theory. IOSR Journal of Mathematics, 16, 35-43.
[29]
Misner, C.W., Thorne, K.S. and Wheeler, J.A. (1971) Gravitation. W. H. Freeman, San Francisco.
[30]
Nieto, J.A. (1999) S-Duality for Linearized Gravity. Physics Letters A, 262, 274-281. https://doi.org/10.1016/S0375-9601(99)00702-1
[31]
Plücker, J. (1865) On a New Geometry of Space. Proceedings of the Royal Society of London, 14, 53-58. https://doi.org/10.1098/rspl.1865.0014
[32]
Hodge, W. and Pedoe, D. (1952) Methods of Algebraic Geometry, Volume 2. Cambridge University Press, Cambridge.
[33]
Bokowski, J.L.J. and Sturmfels, B. (1980) Computational Synthetic Geometry. Springer-Verlag, New York.
[34]
Gogberashvili, M. and Gurchumelia, A. (2023) Dirac and Maxwell Systems in Split Octonions. Journal of Applied Mathematical Physics, 11, 1977-1995. https://www.scirp.org/journal/jamp https://doi.org/10.4236/jamp.2023.117128