Jean-Francois has kindly written an abstract of his paper, which is the opening post in this thread. For convenience I attach a link to the source.
Justifying the possibility for excess heat (abstract)
We start from mathematics with one of its paramount questions which is the continuity hypothesis: Does there exist a cardinal between and ?
We keep on noticing that there are 2 theories dealing with fluids:
- The kinetic theory of gases
- Fluid mechanics
Both have flaws. The former one cannot exhibit any viscosity whereas it makes planes fly. The latter, while dealing with unspecified numbers of molecules packed into a fluid molecule, makes extensive use of continuous calculus such as derivation and integration.
Now we refer to phase change in physics with the dotted line on the following diagram
During this process, one cannot determine the exact time when we are in a gas or liquid phase.We suggest coming back to Ancient Greece physics which discovered the atom through considering a different number of molecules per unit volume depending on the phase (gas or liquid) we are considering.
This brings us, trying to keep rigorous, to consider any fluid as a continuous set of points, each weighed by an infinitesimal mass, and choosing a number of points of for a gas and for a liquid per unit volume.The traditional phase transition through the curves would work according to the continuity hypothesis, but when moving through the fluid phase, intermediary cardinals would appear, physically breaking the continuity hypothesis.
This would therefore bring to the possibility of thermodynamics new effects in relation with those cardinals which generally do not appear.
In brief, if such a process really is at stake, this would incite the physicists of LENR to look for excess heat under such conditions as phase change going around and not through the critical point. This is where we expect to get a positive result.
https://www.researchgate.net/publication/378610245_Justifying_the_possibility_of_getting_excess_heat