Metrological Reconstruction of the Nippur Standard: Geodetic and Astronomical Foundations of the Sumerian System of Measures

This paper analyzes the structure and metrological essence of the Nippur measuring standard, an archaeological artifact dating to c. 3000 BCE. In contrast to traditional hypotheses attributing the origin of early length units exclusively to human anatomy, this study proposes a model of an exact geodetic and astronomical foundation for the Sumerian metrological system. By applying a comparative analysis of empirical data obtained via modern laser scanning against a theoretical mathematical model, an isomorphic relationship is proven between the internal sections of the standard and the macro-dimensions of Earth via the fundamental constant . By transforming the linear measure into a circular model, a coded astronomical angle of is identified, directly corresponding to variations in Earth's axial tilt within the obliquity cycle. Finally, the model is empirically verified on monumental structures in Nineveh and Babylon, demonstrating that the application of the ideal standard reduces construction residuals to zero.