Observer Geometry J: Schrödinger's Cat and the Many-Worlds Interpretation

Based on the mathematical framework established in the Observer Geometryseries (A-I), this paper proposes a novel structural resolution to Schrödinger’s catparadox and the many-worlds interpretation. By internalizing the observer as aself-referential subsystem of noncommutative algebras, we prove that the core ofthe quantum measurement problem is not ”how the wave function collapses” or”how worlds branch”, but rather the self-referential rupture and repair of the observer algebra structure at the micro-macro interface. This paper unifies six existing theories—Dynamic Time Algebra, Post-Markovian Paradigm, Temporal LayerCausal Evolution, Chronogroup Framework, Time Fiber Category, and Origin ofOrder—and demonstrates that they are all effective descriptions of observer geometry under different projections. We derive three testable predictions: logarithmicoscillatory patterns in CMB non-Gaussianity, topologically chiral currents without external fields in mesoscopic systems, and magic number resonance structuresin high-energy colliders. This framework elevates the many-worlds interpretationfrom ”metaphysics of parallel universes” to ”geometric realization of self-referentialalgebras”, providing a mathematically self-consistent and experimentally testableunified solution to the foundational problems of quantum mechanics.