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Nernst: a low-temperature heat hypothesis constraining thermodynamic equilibrium

Contribution grade

Thermodynamics and low-temperature free-energy limits · Reusable scientific method, experimental result or historical framework

Reference score450,000Provisional editorial estimate of this exact contribution; its grade is assessed separately.

What changed

Measurements of heat do not by themselves determine the maximum work a process can deliver: an integration constant remains. Nernst proposed a low-temperature hypothesis to supply the missing constraint for processes involving pure condensed substances. The work and energy curves approach a common tangent near absolute zero. Combined with thermal measurements and specified approximations, this made equilibrium calculations more constrained and became a foundation of later low-temperature thermodynamics.

Scientific scope

Measurements of heat do not by themselves determine the maximum work a process can deliver: an integration constant remains. Nernst proposed a low-temperature hypothesis to supply the missing constraint for processes involving pure condensed substances. The work and energy curves approach a common tangent near absolute zero. Combined with thermal measurements and specified approximations, this made equilibrium calculations more constrained and became a foundation of later low-temperature thermodynamics. The original is a physical hypothesis and extrapolation programme, not a mathematical proof that every substance has zero absolute entropy. Pure condensed phases, low-temperature limits and the assumed expansions matter. Equality of limiting derivatives and the further argument that derivatives vanish are distinct steps. The original explicitly says an exact experimental test was not yet possible with the available low-temperature heat data; historical numerical extrapolations are not modern constants. Helmholtz, Boltzmann and other predecessors retain their contributions. Presented in December 1905 and published in 1906 are different dates.

Evidence

The linked original works support the scoped statement and contribution attribution. WRS has not independently replayed experiments or reconstructed a full mathematical proof. The original is a physical hypothesis and extrapolation programme, not a mathematical proof that every substance has zero absolute entropy. Pure condensed phases, low-temperature limits and the assumed expansions matter. Equality of limiting derivatives and the further argument that derivatives vanish are distinct steps. The original explicitly says an exact experimental test was not yet possible with the available low-temperature heat data; historical numerical extrapolations are not modern constants. Helmholtz, Boltzmann and other predecessors retain their contributions. Presented in December 1905 and published in 1906 are different dates.

Contributors

Provisional WRS assessment, edition 2026-10-23.5. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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