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Epilogue

Published online by Cambridge University Press:  03 May 2011

Fernando de Felice
Affiliation:
Università degli Studi di Padova, Italy
Donato Bini
Affiliation:
Consiglio Nazionale delle Ricerche (CNR), Rome
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Summary

The mathematical structure of general relativity makes its equations quite remote from a direct understanding of their content. Indeed, the combination of a covariant four-dimensional description of the physical laws and the need to cope with the relativity of the observations makes a physical measurement an elaborate procedure. The latter consists of a few basic steps:

  1. (i) Identify the covariant equations which describe the phenomenon under investigation.

  2. (ii) Identify the observer who makes the measurements.

  3. (iii) Choose a frame adapted to that observer, allowing the space-time to be split into the observer's space and time.

  4. (iv) Decide whether the intended measurement is local or non-local with respect to the background curvature.

  5. (v) Identify the frame components of those quantities that are the observational targets.

  6. (vi) Find a physical interpretation of the above components, following a suitable criterion such as a comparison with what is known from special relativity or from non-relativistic theories.

  7. (vii) Verify the degree of residual ambiguity in the interpretation of the measurements and decide on a strategy to eliminate it.

Clearly, each step of the above procedure relies on the previous one, and the very first step provides the seed of a measurement despite the mathematical complexity.

Type
Chapter
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Publisher: Cambridge University Press
Print publication year: 2010

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  • Epilogue
  • Fernando de Felice, Università degli Studi di Padova, Italy, Donato Bini
  • Book: Classical Measurements in Curved Space-Times
  • Online publication: 03 May 2011
  • Chapter DOI: https://doi.org/10.1017/CBO9780511777059.012
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  • Epilogue
  • Fernando de Felice, Università degli Studi di Padova, Italy, Donato Bini
  • Book: Classical Measurements in Curved Space-Times
  • Online publication: 03 May 2011
  • Chapter DOI: https://doi.org/10.1017/CBO9780511777059.012
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Epilogue
  • Fernando de Felice, Università degli Studi di Padova, Italy, Donato Bini
  • Book: Classical Measurements in Curved Space-Times
  • Online publication: 03 May 2011
  • Chapter DOI: https://doi.org/10.1017/CBO9780511777059.012
Available formats
×