A third law of thermodynamics is an unnecessary complexity

TL;DR

This paper argues that the Third Law of thermodynamics is redundant because the Second Law already ensures the impossibility of reaching absolute zero, making the Nernst heat theorem a logical consequence rather than an independent postulate.

Contribution

It provides a formal and historical analysis demonstrating that the Third Law is unnecessary, showing the Nernst theorem as a consequence of the Second Law.

Findings

The Third Law is logically redundant given the Second Law.

The Nernst heat theorem is a consistency condition, not an independent law.

Historical analysis clarifies the debate on the Third Law's necessity.

Abstract

This paper elaborates on the implications of the relationship between the Second and Third Laws and provides a comprehensive formal and historical justification for the logical redundancy of the Nernst heat theorem. By revisiting the Nernst-Einstein debate, the underlying hypotheses that lead to the traditional view of the Third Law as an independent postulate are examined. It is argued that the historical rejection of Nernst's proof -- motivated by Einstein's insistence on the practical non-performability of cycles at absolute zero -- overlooks the fact that a universal Second Law already precludes such cycles, rendering an independent Third Law an unnecessary complexity. Ultimately, the Nernst theorem is shown to be an essential consistency regulator rather than an independent physical discovery.