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Singh R.
   Exploring entropy in de sitter space using the covariant Euclidean approach / Singh R. - Текст на англ. языке // Физические интерпретации теории относительности, Международная научная конференция 24-я, Москва, 7 - 10 июля 2025 г. = Physical Interpretations of Relativity Theory (PIRT–2025) : сборник тезисов / МГТУ им. Н. Э. Баумана. - М., 2025. - С. 324-325.

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We derive the Euclidean entropy of four-dimensional de Sitter spacetime by integrating the Kodama-observer anomalous entropy density over the compact Euclidean section, obtained through a covariant Wick rotation discussed in [2]. Starting from the comoving metric and enforcing the Kodama trajectory [2], we evaluate the anomalous entropy density and show that the corresponding four-volume element reduces, after an exact coordinate transformation, to that of a round four-sphere of radius. The resulting total entropy reproduces precisely the Bekenstein-Hawking entropy associated with the cosmological horizon. This calculation demonstrates that the anomalous entropy approach [3], grounded in the Euclidean Quantum Gravity framework, yields correct and physically consistent results.