Moon Formation by Triple Phase Transition in the Differentiating Proto-Earth

This document presents a theoretical proposal for the origin of the Moon, based on an entirely internal mechanism operating within the Hadean proto-Earth: the Triple Phase Transition (TPT). The starting point is thermodynamic and non-negotiable: the gravitational energy released during terrestrial accretion exceeds the silicate mantle fusion energy by a factor of 155. The proto-Earth is therefore necessarily a rapidly rotating magma sphere (Tᵣot ≈ 5 h), without a stabilizing satellite, evolving in a permanently out-of-equilibrium Hadean environment. The unique driving force of the theory is the progressive segregation of Fe-Ni, which orchestrates three coupled regime transitions — rheological, mechanical, and magnetic. The chaotic wobble of the rotation axis in the body frame, sustained by continuous Hadean perturbations, generates toroidal flows entering elliptical parametric resonance with the inertial modes of the fluid. The resulting growth rate brings the Coherent Magmatic Torus to bifurcation velocity in ≈ 32 hours, producing 2 to 3 cohesive ejection episodes in 3 to 4 weeks and a Hadean dynamo delay of 290–360 Myr. The document formulates nine quantitative and falsifiable predictions. The central prediction — seismic interface at d ≈ 200–315 km, impedance contrast |R| ∈ 0. 01; 0. 04 — is testable by Chang'e 7 (lunar south pole, August 2026) and Artemis III (2028–2029). This deposit registers the theory and its predictions prior to the data from these missions.