Lorentz group on Minkowski spacetime for construction of the two basic principles of plasticity

We show that a model of plasticity is a necessary consequence of the two ba sic principles: (1) causality in the truncated future cone of the Minkowski spacetime (ol its generalization) of augmented states, and (2) controllabi lity and non-generativity in a reachable, bounded space of states. To consi der the symmetry switching between PSOo(n, 1) and SE(n) due to switching on and off the plasticity mechanism, the model is reconstructed as a dynamica l system on a composite space, which results from a surgery on Minkowski sp acetime. (C) 2001 Elsevier Science Ltd. All rights reserved.