Abstract
We define, as local quantities, the least energy and momentum allowed by quantum mechanics and special relativity for physical realizations of some classical lattice dynamics. These definitions depend on local rates of finite-state change. In two example dynamics, we see that these rates evolve like classical mechanical energy and momentum.
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Margolus, N. (2015). The Ideal Energy of Classical Lattice Dynamics. In: Kari, J. (eds) Cellular Automata and Discrete Complex Systems. AUTOMATA 2015. Lecture Notes in Computer Science(), vol 9099. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-47221-7_13
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DOI: https://doi.org/10.1007/978-3-662-47221-7_13
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