Reconstruction of Schrödinger's Cat in Many Worlds 12; Classical Experimental Test of Information Potential Difference

The quantum measurement problem, after nearly a century of exploration, centers on how a macroscopic superposition transitions to a definite classical outcome.Based on two minimal axioms—information conservation and computability—thispaper introduces the information potential difference ∆µ as the unique order parameter for the quantum-classical transition. It is theoretically proven that ∆µhas a minimum quantum of ln2, and completing a ln2 transition corresponds toa ”self-referential closure”, at which point the density matrix diagonalizes and asingle world emerges. When ∆µ is experimentally suppressed below ln2, the system remains in a critical layer, producing observable ”fragmented many-worlds”signals, including a mutual information drop of 0.43–0.46, an entropy production pulse on the order of 10−23J/K, and a chiral current of 17–19 nA without an external field. We design three mesoscopic experiments—superconductingquantum-mechanical oscillator, diamond torsion pendulum-NV center, and topological insulator-Josephson junction—to be implemented in 2025–2028, providing a5σ confidence criterion. This framework transforms the ”Schrödinger’s cat” paradox into an adjustable and readable information potential difference scale in thelaboratory, making the single-world vs. many-worlds debate a testable quantitative problem for the first time, and opening experimental avenues for subsequentexploration of closure time scaling laws, fragmented world manipulation, and themicroscopic origin of information potential difference.