Inconsistency of the conventional theory of superconductivity

TL;DR

This paper challenges the conventional theory of superconductivity by demonstrating a thermodynamic inconsistency in its predictions about Joule heat generation and process speed independence, and proposes a resolution.

Contribution

It identifies a fundamental inconsistency in the conventional theory of superconductivity and offers a new resolution to this paradox.

Findings

Conventional theory predicts Joule heat generation during temperature change in superconductors.

It also predicts the final state is independent of process speed.

These predictions are incompatible with thermodynamic laws.

Abstract

In a process where the temperature of a type I superconductor in a magnetic field changes, the conventional theory of superconductivity predicts that Joule heat is generated and that the final state is independent of the speed of the process. I show that these two predictions cannot be simultaneously reconciled with the laws of thermodynamics. I propose a resolution of this paradox.