The Making Of A Theory Of The Vitreous Solid State: From 1 milli-K To 1 kilo-K

TL;DR

This paper discusses the development of a comprehensive theory of the vitreous state, exploring low-temperature properties to melting, and offers a theoretical basis for the Vogel-Fulcher-Tamman law, highlighting glasses as quantum and topological materials.

Contribution

It provides the first theoretical justification of the Vogel-Fulcher-Tamman law and advances understanding of glasses as quantum and topological substances.

Findings

No evidence for an ideal-glass transition or state.

Theoretical support for Vogel-Fulcher-Tamman law.

Glasses exhibit quantum and topological properties.

Abstract

This is a short account of the basic principles of a comprehensive theory of the vitreous state, looking at glasses and their eventual <<melting>> into a liquid state (the inverse glass <<transition>>) from the perspective of their low-temperature properties, then working all the way up to the melting temperature (and back again). The theory is still in the making, so only essential guidelines will be provided. There appears to be no ideal-glass transition, no ideal-glass state, but a first theoretical justification of the Vogel-Fulcher-Tamman law can be provided, making glasses truly fascinating quantum as well as topological substances.