Dear Robert,
Thank you very much for your interest in my modest work.
You asked
«I am intrigued if there is a specific link you make connecting our physical world with the notion of intentionality?»
You, basically, answered this question
«We consider as an example the case of irreversible free expansion and inject intent in form of Maxwell's Demon. This provides a thermodynamic trail with implications sug-gestive of the computational nature of intent.»
I just gave an analogy to the physical realization of Maxwell's Demon.
In my house in Bulgaria, I use an air conditioner - hyperinverter (heat pump with a coefficient of 5) which is an analogue of Maxwell's demon. This unit produces 3 kW of thermal power, cooling the atmosphere, with an electric power consumption of 0.6 kW.
The analogue of Maxwell's demon in the universe is the gravisphere from a dynamic medium of physical vacuum around particles and cosmic bodies. The attraction of bodies to the center of gravity in the universe is intended for gravitational separation - moving to the center of gravity of heavier dynamic elements of the medium. Heavier elements have a higher temperature.
Those, the variable temperature of the medium of the physical vacuum in the gravisphere is determined by the variable gravitational potential and the variable velocity of propagation of the gravitational interaction. The change in the propagation velocity of the interaction in the gravisphere (the derivative of spatial coordinates in time) corresponds to the distortion of space-time in Einstein's theory of relativity.
Thus, there is a mechanism of energy concentration in the center of gravity, which functions according to the principle of the action of the heat pump, due to a phase change in the elements of the medium of the physical vacuum. Gravisphere from the environment of the physical vacuum is a soliton. All processes of matter transformation are carried out with the help of deterministic toroidal gravitational waves of de Broglie and Compton. Toroidal gravitational waves concentrate energy in the center of gravity, and the process of "annihilation" of toroidal gravitational waves leads to energy scattering in the form of photons.
The next important point for understanding the mechanism of intentionality is a single grid of resonant frequencies of the limiting elements of matter, analogous to an electron. In my work, I tried to explain the fractal principle of the construction of elements of matter, according to which elements with more energy than the electron are elements of a deeper level of matter. In the universe there is a constant circulation of energy and interaction between elements of different levels of matter, but using a single grid of parametric resonance frequencies.
That is why in the process of collisions of elementary particles the same particles are formed, and even atoms from matter and antimatter. That is why chemical bonds are so selective, and matter is stable and diverse.
I wish you success in the contest.
Kind regards,
Vladimir