METROLOGICAL CANON OF ANCIENT MACEDONIA: Part I: The Royal Sepulchral Standard and Geodetic Canon in the Tomb of Philip II at Aegae

This study initiates a systematic metrological investigation into ancient Macedonian monumental architecture through the analysis of the Great Tumulus at Aegae (modern Vergina), focusing on the barrel-vaulted Tomb of Philip II (Tomb II, c. 336 BCE). Utilizing precision field surveys, architectural data, and photogrammetry published by M. Andronikos alongside official conservation monographs, we demonstrate the governing presence of a standardized geodetic standard—the ideal Sacred Cubit (SL = 9√3 / 25 ≈ 0.623538 m), whose historical and septenary division into 7 canonical palms (1 palm = SL/7 ≈ 0.089077 m) was originally identified by Isaac Newton in A Dissertation upon the Sacred Cubit of the Jews. Structural dimensions—including overall facade height, the burial chamber plan ad quadratum (4.460 m × 4.460 m = 50 palms × 50 palms), antechamber spans, Doric frieze modules (3.5 : 5 palms), and the gold larnax—strictly follow integer fractions of this canon with a mean absolute error of Δ = 1.62 mm. A stochastic Monte Carlo simulation (N = 1,000,000) refutes the null hypothesis of random distribution (p < 10⁻⁶), confirming that Argead royal sepulchral architecture was rigorously governed by a centralized, geodetically grounded metrological canon.