David Hilbert famously argued that infinity cannot exist in physical reality. The consequence of this statement — still under debate today — has far-reaching implications.
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Tegmark, M. in Science and Ultimate Reality: From Quantum to Cosmos (eds Barrow, J. D., Davies, P. C. W. & Harper, C. L. Jr) Ch. 21 (Cambridge Univ. Press, Cambridge, 2004).
Vilenkin, A. Many Worlds in One: The Search for Other Universes (Hill & Wang, New York, NY, 2007).
Hilbert, D. in David Hilbert’s Lectures on the Foundations of Arithmetics and Logic 1917–1933 (eds Ewald, W. & Sieg, W.) 730 (Springer, Heidelberg, 2013).
Nicolai, H. CERN Courier https://cerncourier.com/gravitys-quantum-side/ (2017).
Hawking, S. W. & Penrose, R. Proc. R. Soc. Lond. A 314, 529–548 (1970).
Wheeler, J. A. in Battelle Rencontres (eds Wheeler, J. A. & DeWitt, C. M.) (W. A. Benjamin, New York, NY, 1972).
Ellis, G. & Silk, J. Nature 516, 321–323 (2014).
Gisin, N. Preprint at https://arxiv.org/abs/1803.06824 (2018).
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Ellis, G.F.R., Meissner, K.A. & Nicolai, H. The physics of infinity. Nature Phys 14, 770–772 (2018). https://doi.org/10.1038/s41567-018-0238-1
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