AUTHOR=Treumann Rudolf A. , Baumjohann Wolfgang 

TITLE=Information kinetics—an extension

JOURNAL=Frontiers in Physics

VOLUME=3

YEAR=2015

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2015.00034

DOI=10.3389/fphy.2015.00034

ISSN=2296-424X

ABSTRACT=<p>We present an operator formalism for the recently developed kinetic information theory, construct Poisson brackets between the Liouville <inline-graphic xlink:href="fphy-03-00034-i0001.tif" xmlns:xlink="http://www.w3.org/1999/xlink" /> and information <inline-graphic xlink:href="fphy-03-00034-i0002.tif" xmlns:xlink="http://www.w3.org/1999/xlink" /> operators in μ space, proposing its quantum version. Making use of the universal quantum of time, the Planck time τ<sub><italic>p</italic></sub>, a pseudo-energy-time uncertainty relation is constructed. It suggests that tiny amounts of information production may cause large variations in energy. The Hubble time τ<sub><italic>H</italic></sub> sets an upper bound on information in the universe.</p>