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The following work demonstrates the viability of Poincar\'e symmetry in a discrete universe.
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K. Kondo, Progress of Theoretical Physics 72
1984
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P. Menotti and A. Pelissetto, Annals of Physics 170
1986
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T.D. Lee, Journal of Statistical Physics 46
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1987
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P. J. Olver, Applications of Lie Groups to Differential Equations , 2nd ed., Graduate Texts in Mathematics, Vol. 107 (Springer-Verlag New York, 1993)
1993
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G. t’ Hooft, arXiv:gr-qc/9310026 (1993) , arXiv: gr-qc/9310026
1993
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2012
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P. E. Hydon, Difference Equations by Differential Equation Methods , Cambridge Monographs on Applied and Computational Mathematics No. 27 (Cambridge University Press, 2014)
2014
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F. Schuller, “Local representations of a connection on the base manifold: Yang-Mills fields - Lec 22,” https://www.youtube.com/watch?v=KhagmmNvOvQ&t=1s&list=PLPH7f_7ZlzxTi6kS4vCmv4ZKm9u8g5yic&index=23 (2015)
2015
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A. Ipp and D. Müller, Eur. Phys. J. C 78
2018
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A. S. Glasser and H. Qin, Lifting Spacetime’s Poincaré Symmetries (in preparation, 2019)
2019
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