Reconstruction of Schrödinger's Cat in Many Worlds 9; Many-Worlds Structure in a Failed Universe

The many-worlds interpretation holds an important position in foundationalstudies of quantum mechanics due to its ontological parsimony—adhering to theuniversality of the wave function and unitary evolution. However, this interpretation has long faced core challenges such as the fuzzy mathematical definition of”world branches” and the origin of probability. Within the framework of a ”faileduniverse,” this paper re-examines the generation conditions and existence formsof many-worlds structure. By introducing topological constraint phase transitionsand self-referential reconstruction dynamics, we prove that when the universe is in a”failed phase” caused by insufficient logical depth, the global many-worlds description collapses, but its topological order parameter—the second Chern number—localizes in a modularized discrete form within causal fragments. The many-worldsdo not disappear but exist in a fragmented, modalized manner; the quantum measurement process is reconstructed in this picture as a topological transition of theobserver on the boundaries of causal fragments, rather than instantaneous wavefunction collapse or global world splitting. This framework unifies quantum measurement, spacetime emergence, and cosmological observations into a self-consistenttheoretical system, and derives three experimentally distinguishable predictions:non-Gaussianity of the cosmic microwave background radiation, the logical noisespectrum of primordial gravitational waves, and a detectable discrete chiral currentin mesoscopic circuits.