Technical Addendum SUB-2026-03

The Gallo-Roman Dodecahedron: Substrate Tribology, Aerodynamic Trim & Ritual Kinematics | SUB-2026-03Technical Addendum SUB-2026-03 resolves the mechanical, tribological, and liturgical operating foundations of the Gallo-Roman dodecahedron functioning as an autonomous, wind-driven aero-kinematic stator engine.Accompanying slide deck and forensic analysis by Christopher Mortimer Thomas Lynch (ORCID: 0009-0003-9253-1000).Core Engineering Findings in This Addendum:The Substrate as Dynamic Aerodynamic Trim: The bedding floor (h_bed) is not a passive catch basin. Modulating the effective rim height (h_rim,eff) alters the fluid dynamic boundary layer. Flush beds (h_rim,eff approx. 0 mm) maintain open convective flow and dynamic lift, yielding sweeping 5-petal floral guilloche rosettes; depleted beds (h_rim,eff greater than 10 mm) trip boundary shear into high-torque cavity vortices, generating dense, overlapping tetragonal motifs.Dual-Phase Load-Sharing Tribology: Using a radius-matched heated blade (cauterium strigilis) collapses 9–10% volumetric shrinkage voids and creates a compacted silica-sand (SiO2) skeleton. Rigid quartz summits carry over 99.9% of the normal load (chi_s greater than or equal to 0.999), arresting nodule sinkage at delta less than or equal to 0.25 mm and collapsing plowing cross-section by 95.6%. Effective dynamic friction drops to mu_eff approx. 0.15–0.18, well within autonomous fluidic diode thrust limits.Nodule Pontoon Hydrodynamics & Inertial Degeneracy: The 20 spherical nodules (r approx. 5.0 mm) act as hydrodynamic planing pontoons, preventing face-wetting and viscous suction. Strict dimensional uniformity across all 20 spheres is mathematically required to preserve an isotropic moment of inertia tensor (I_xx = I_yy = I_zz) and maintain an invariant overturning fulcrum height (h_pivot) across all 12 facets.The Parametric Aero-Mechanical Clutch Cycle: The engine alternates between an unweighted flight phase (clutch disengaged, dynamic lift L increases, friction collapsing, wind accelerating the hull flywheel into rotational overdrive) and a weighted touchdown phase (clutch engaged, normal force spike, positive longitudinal slip s_x greater than 0). The rearward slip kicks off the compacted quartz bed, converting stored angular momentum directly into a forward linear tractive impulse (J_x = m * Delta_V_CM).Subtractive Maintenance & Institutional Silence: Each run was preceded by a micro-thin shaving pass (0.25–0.50 mm) with the heated screed to scour airborne temple soot and prior furrows. This subtractive maintenance drove a seasonal depletion of the bed, matching autumn/winter cold wax stiffening with high-torque cavity vortices. At V_infinity approx. 6.5–7.5 m/s, a complete 200-pass rosette finishes in 80 to 120 seconds, perfectly matching liturgical chant duration. The lack of classical civic documentation reflects sacred mystery custody (arcana) and 4th-century Theodosian anti-divination purge caches.