Give one concise, explicit thermodynamic expression in T and P for the configurational entropy, showing its excellent universal description of experimental data.

Generalize most important dynamic equations in the field and integrate two key thermodynamic variables in a single form.

The formula has no singularity of divergence and thus plausibly resolves the long-standing Kauzmann paradox.

The analysis indicates the glass transition as a second-order phase transition.

Offer an organizing principle to rationalize the dynamic properties and advance researches on the thermodynamics including the glass transition of glass-formers.