Discovery and Application of the Two-Electron Quantum Theory of Glass States

TL;DR

This paper introduces a two-electron quantum theory that explains glass transition phenomena and high-temperature superconductivity, unifying these phenomena through electron pairing and collective behavior.

Contribution

It presents a novel two-electron quantum framework derived from de Gennes' cluster model, linking glass transition and superconductivity phenomena.

Findings

Discovery of 16 excited quantum states in coupled electron pairs.

Identification of a 0.27% overlap forming a magic interface.

Proposal of a unified theory for glass transition and high-temperature superconductivity.

Abstract

The glass state problem stems from the failure described in terms of one-electron theory or atoms (molecules) as independent particles. In 2005, de Gennes proposed that the way to explain the glass transition in simple terms was to construct the cluster model of molecules in contact with all existing glass models and to refine the picture of the mean-field hard-sphere molecules (HSMs) in contact with each other. In the process of refining this picture, we discovered the two-electron quantum theory derived from the second solution of de Gennes n = 0, where the clustered contact of the two HSMs along the z-axis is the sequential emergence of the 16 z-direction interface excited quantum states of their coupled electron pair, the two HSMs suddenly overlap by 0.27% to form a magic-interface two-dimensional vector. The two coupled electron orbitals synchronously escaped the two HSMs 16 times, tangent to the magic interface 16 times, and 16 parallel repulsive electron pairs with an interval of 5.9987{\deg}, which is a clustered boson interaction between the two HSMs. This is the common origin of boson peaks in the glass state and electron pairing in the high-temperature superconductivity. Therefore, the collective behavior of electrons in the two-electron theory can unify the glass transition and the high-temperature superconducting transition. This paper is not only a complete theoretical statement on glass transition, but also a new interpretation of the theory of high-temperature superconductivity, which provides a new theoretical perspective in the search for room-temperature superconducting materials.