  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.
