Formulating a consistent framework for relativistic thermodynamics has been the subject of intense debate over the past century. Defining quantities with respect to the observer's past lightcone could open new vistas.
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Debbasch, F. Always look back. Nature Phys 5, 708–709 (2009). https://doi.org/10.1038/nphys1416
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DOI: https://doi.org/10.1038/nphys1416