A Dynamic Theory of Information and Entropy.pdf

A Dynamic Theory of Information and Entropy Michael C. Parker Fujitsu Laboratories of Europe, Columba House, Adastral Park, Ipswich, IP5 3RE, UK. M.Parker@ftel.co.uk Stuart D. Walker University of Essex, Department of Electronic Systems Engineering, Wivenhoe Park, Colchester, Essex, CO4 3SQ, UK. stuwal@essex.ac.uk (Received 2nd April 2004) Abstract We propose a new thermodynamic, relativistic relationship between information and entropy, which is closely analogous to the classic Maxwell electro-magnetic equations. Determination of whether information resides in points of non-analyticity or is more distributed in nature therefore relates directly to the well-known wave-particle duality of light. At cosmological scales our vector differential equations predict conservation of information in black holes, whereas regular and Z-DNA correspond to helical solutions at microscopic levels. We further propose that regular and Z-DNA are equivalent to the alternative words chosen from an alphabet to maintain the equilibrium of an information transmission system. PACS numbers: 89.70.+c, 65.40.Gr, 42.25.Bs, 03.30.+p The close relationship between information and entropy is well recognised [1,2], e.g. Brillouin considered a negative change in entropy to be equivalent to a change in information (negentropy [3]), and Landauer considered the erasure of information DI to be associated with an increase in entropy DS , via the relationship -DI = DS [1,4]. In previous work, we qualitatively indicated the dynamic relationship between information and entropy, stating that the moveme