Information content in electromagnetic or gravitational waves

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SUMMARY

Electromagnetic and gravitational waves carry energy and momentum, which implies they can also convey information. However, if the energy dissipates as heat, the information is lost, particularly when only total energy is measured. The discussion emphasizes the importance of spectral information, such as that obtained from gravitational wave signals during neutron star mergers, which provides insights into the equation of state of neutron stars. The Shannon-Jaynes interpretation of entropy is referenced to illustrate the relationship between thermal equilibrium and information content.

PREREQUISITES
  • Understanding of electromagnetic and gravitational wave properties
  • Familiarity with the Shannon-Jaynes interpretation of entropy
  • Knowledge of spectral analysis techniques
  • Basic principles of astrophysics, particularly related to neutron stars
NEXT STEPS
  • Research the Shannon-Jaynes interpretation of entropy in detail
  • Study spectral analysis techniques for wave signals
  • Explore gravitational wave detection methods and their implications
  • Investigate the equation of state for neutron stars and its significance
USEFUL FOR

Physicists, astrophysicists, and anyone interested in the information theory related to electromagnetic and gravitational waves, as well as those studying neutron star phenomena.

gianeshwar
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TL;DR
Information scenerio in electromagnetic and gravitational waves. Conditions under which information content is lost.
Electromagnetic or gravitational wave carries energy and momentum from place to place as,I understand.Does it imply that such waves only can carry information and if their energy gets dissipated as heat, the information contained is lost.
Is this information content is to be decoded by human?
If there was no one to observe, was there any information?
Please discuss.
 
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Thank you very much anorlunda for valuable article. Will study it with care.
 
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Of course, if all you measure is the total energy of a wave in terms of heat produced by it in a calorimeter all you have as information is this energy. Thermal equilibrium is the state of minimal information (in the sense of the Shannon-Jaynes interpretation of entropy as a measure for the missing information, which in the equilibrium state is maximal).

If you have of course, say, the complete spectral information of your wave signal you can learn a lot from it. E.g., from the gravitational-wave signals due to merging neutron stars (or a black-hole neutron-star merger) you can learn a lot about the equation of state of the strongly interacting matter making up the neutron star(s).
 
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