There are no negative heat capacities

The existence of exotic systems with anomalous negative heat capacities have been claimed in the recent literature. Those negative heat capacities are responsible for all kind of peculiar thermodynamic behaviors, such as the temperature of the anomalous system being reduced when the system is heated. Close inspection shows that negative heat capacities have not been measured, neither do exist.

State space evolution beyond mechanics

Our starting point will be the assumption that the state of our system (biological, physical, chemical, or otherwise) at a given time \( t \) is represented by a collection of \( D \) generic coordinates joined in a vector \( \mathbf{n}(t) = (n_1(t), n_2(t), n_i(t),\ldots n_D(t)) \). Note this vector depends on time implicitly.

What is heat?

Everyone has an intuitive conception of heat as something related to temperature, but a rigorous and broadly accepted scientific definition of heat is lacking despite several centuries of study.

Instantaneous electromagnetic interactions

Newtonian gravity introduced a model of instantaneous direct interactions among massive particles. This model was latter replicated by Coulomb for charged particles. Those models have been traditional named the action-at-a-distance model; although, this name is misleading and generated unending polemics among physicists and philosophers about how a particle can act at a distance in a vacuum over distant particles. A better name for this model is direct-particle-interaction.

Researchgate: Are you kidding?

I lack a Researchgate account, but I noticed that Researchgate has created a fake profile about me where they are archiving works from mine whereas miss-attributing one of them to inexistent coworkers. My paper published on the International Journal of Thermodynamics is miss-attributed to two inexistent coworkers Juan Ramon and Callen Casas-Vazquez, when I am the only author.