The Three-Body Problem Has No Solution — Only Because the Old Theory Gave It No Master Control: From 'Seeking a General Solution in Vain' to 'Solutions Everywhere': One Step Makes the Difference

English version of the Chinese paper 《三体无解,是旧理论没给它主控》 (DOI 10.5281/zenodo.24122158). The three-body problem was "proven" unsolvable for over a century — Poincaré proved that no general analytical solution exists. This paper argues that what is unsolvable is not the three-body problem, but the three-body problem without "master control": master control is the gravitational field of an intelligent system; a "body" is bounded with a boundary, a "state" is bounded without a boundary; what is conserved is structure, not matter (Noether's theorem / quantum entanglement / continuous phase transition / topological invariants / biological homeostasis). It gives three falsifiable predictions: injecting master control makes chaos converge; a structural invariant (total entanglement) is conserved under global rearrangement; only an AI with master control can solve the "three-body task."