Abstract
While we currently only observe 3 spatial dimensions, according to modern physics, our space is actually at least 10-dimensional. In this paper, on different versions of the multi-D spatial models, we analyze how the existence of the additional spatial dimensions can help computations. It turns out that in all the versions, there is some speed up—moderate when the extra dimensions are actually compactified, and drastic if extra dimensions are separated by a potential barrier.
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References
Feynman, R., Leighton, R., Sands, M.: The Feynman Lectures on Physics. Addison Wesley, Boston, Massachusetts (2005)
Green, M.B., Schwarz, J.H., Witten E.: Superstring Theory, Vols. 1, 2, Cambridge University Press (1988)
Kosheleva, O., Kreinovich, V.: Relativistic effects can be used to achieve a universal square-root (or even faster) computation speedup. In: Blass, A., Cegielsky, P., Dershowitz, N., Droste, M., Finkbeiner, B. (eds.) Fields of Logic and Computation III, pp. 179–189. Springer (2020)
Kreinovich, V., Lakeyev, A., Rohn, J., Kahl, P.: Computational Complexity and Feasibility of Data Processing and Interval Computations. Kluwer, Dordrecht (1998)
Morgenstein, D., Kreinovich, V.: Which algorithms are feasible and which are not depends on the geometry of space-time. Geombinatorics 4(3), 80–97 (1995)
Papadimitriou, C.: Computational Complexity. Addison-Wesley, Reading, Massachusetts (1994)
Polchinski, J.: String Theory, Vols. 1, 2, Cambridge University Press (1998)
Thorne, K.S., Blandford, R.D.: Modern Classical Physics: Optics, Fluids, Plasmas, Elasticity, Relativity, and Statistical Physics. Princeton University Press, Princeton, New Jersey (2017)
Acknowledgements
This work was supported in part by the National Science Foundation grants 1623190 (A Model of Change for Preparing a New Generation for Professional Practice in Computer Science), and HRD-1834620 and HRD-2034030 (CAHSI Includes).
It was also supported by the program of the development of the Scientific-Educational Mathematical Center of Volga Federal District No. 075-02-2020-1478.
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Longpré, L., Kosheleva, O., Kreinovich, V. (2023). Additional Spatial Dimensions Can Help Speed Up Computations. In: Ceberio, M., Kreinovich, V. (eds) Decision Making Under Uncertainty and Constraints. Studies in Systems, Decision and Control, vol 217. Springer, Cham. https://doi.org/10.1007/978-3-031-16415-6_41
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DOI: https://doi.org/10.1007/978-3-031-16415-6_41
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