The possible inadequacy of temperature as commonly used in thermodynamics is suggested by Truesdell on the basis of theoretical considerations. The M'pemba effect provides stark experimental relevance to his remarks.
In one famously hacked email climate researcher Kevin Trenberth said "We're simply not tracking where the heat is going". The same could be said concerning the M'pemba effect. One may venture to guess that the two problems are not unrelated.
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