The ideal glass transition is the thermodynamic theory for structural glasses to solve the Kautzmann paradox. Recently, we succeeded in experimentally realizing an ideal silicate glass for 1300 days below the Kautzmann temperature. The results indicate that the glass had the dissipative structure to be ordered and an ideal structural glass to be locally crystallized to the polycristallie groud state. The glass exhibited α- and β-relaxation processes at different relaxation times. This study aims to describe the ideal structural glass transition through the evolution of intermediate-range orders (IROs), which are born as a cage effect by the mode-coupling theory (MCT). The result verifies the Ising spin glass solved by Parisi. The ideal glass transition is an example of natural intelligence with energy-saving ability in the process through fluctuations. Natural intelligence works in life and evaluates energetic and entropic merits in their processes and the principle of quantum computers.
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