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Information entropy in cosmology.

Akio Hosoya1, Thomas Buchert, Masaaki Morita

  • 1Department of Physics, Tokyo Institute of Technology, Oh-Okayama, Meguro-ku, Tokyo 152-0033, Japan. ahosoya@th.phys.titech.ac.jp

Physical Review Letters
|April 20, 2004
PubMed
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The study introduces a new measure for distinguishing cosmological mass density variations. This "effective information" quantifies the universe's distinguishability and appears to be increasing over time.

Area of Science:

  • Cosmology
  • Statistical Mechanics
  • Information Theory

Background:

  • Cosmological models describe the universe's evolution.
  • Inhomogeneous models account for variations in mass distribution.
  • Quantifying information in cosmological systems is an ongoing challenge.

Purpose of the Study:

  • To describe the evolution of inhomogeneous cosmological models using spatially averaged variables.
  • To introduce a novel measure related to Kullback-Leibler relative information entropy.
  • To explore the time evolution and implications of this
  • effective information
  • .

Main Methods:

  • Utilizing spatially averaged variables to model inhomogeneous cosmological evolution.

Related Experiment Videos

  • Defining a measure identical to a fluid model of Kullback-Leibler relative information entropy.
  • Analyzing the time evolution of this information measure within a dust matter cosmological model.

    • Main Results:

    • A natural measure arises from spatially averaged variables in inhomogeneous cosmological models.
    • This measure quantifies the distinguishability of local mass density from its spatial average.
    • The time evolution of this
    • effective information
    • is discussed.

    Conclusions:

    • The study proposes a new way to understand information content in cosmology.
    • A conjecture is made that the universe's information content, measured by relative information entropy, is increasing.
    • This finding has potential implications for understanding the universe's large-scale structure and evolution.