Urban Planning Grid of Teotihuacan, Calendrical Canon, and Mesoamerican Geodetic Metrology: Statistical Verification of the TMU, Plateau Modular Matrix, and Harmonic Integration of the Maya Measurement System

This study investigates the metrological foundations governing the urban layout of monumental Teotihuacan (Mexico), focusing on the spatial coordination of its ceremonial plateau and its three primary architectural complexes: the Pyramid of the Sun, the Pyramid of the Moon, and the Ciudadela with the Temple of the Feathered Serpent. Departing from prevailing hypotheses that assume variable, purely descriptive anthropometric units, Kendall’s cosine quantogram method was applied to a corpus of high-precision architectural and geodetic field measurements (). The statistical significance of the resulting spectral peak was tested against Monte Carlo permutations under the null hypothesis of uniform dimension generation (, ). The results demonstrate the existence of an invariant canonical standard, (Ideal Teotihuacan Measurement Unit, ), intrinsically integrated into a geodetic division of Earth's meridional circumference (). Spatial matrix analysis demonstrates that the primary ceremonial plateau ABCD was laid out as an orthogonal grid of macro-blocks (), or , with an internal elementary module defined by the semi-base of the Pyramid of the Sun (). Comparative analysis with the ethnohistorically and archaeologically documented Maya measurement system establishes an exact rational transition, , demonstrating unbroken metrological continuity across pre-Columbian Mesoamerica.