Time rescaling and generalized entropy in relation to the internal measurement concept

A phenomenon of rescaling of the internal time in systems with a finite num ber of states is discussed in the context of the internal measurement conce pt in biology. A connection between time rescaling and generalized statisti cs is established. Numerical examples are presented for simple model system s that show a correspondence between the entropy values and the time rescal ing parameter. The relevance of these concept to certain realistic systems is discussed. (C) 2000 Elsevier Science B.V. All rights reserved.