In existographies, Mateo Gil (1972-), born "Francisco Mateo Gil Rodríguez", is Spanish film writer and director, noted for []

Agora | Hypatia
In 2009, Gil wrote and assistant directed the film Agora on Greek philosopher Hypatia, the only known, purported, female universal genius.

Thermodynamics | Relationships

See main: The Laws of Thermodynamics (film)

In 2018, Gill wrote and directed the film The Laws of Thermodynamics (Las leyes de la termodinámica), an English-subtitled Spanish film, set in Barcelona, filmed in a seven-week shoot (Ѻ) starting in 4 Oct 2016, purporting to be about the laws of thermodynamics and physics generally applied to explain relationships (see: relationship physics), specifically between actor Vito Sanz, playing the role of an astrophysics graduate student, and actress Berta Vazquez, playing the role of a model turned actress:

The preview opens to trajectory scene wherein in three male bodies, one, closer, the bigger man (below left), accelerating at 1,412 m/s g (non standard units) (?), and another, farther away, the man with bag (below right), travelling at 1,459 m/s g, and a third, Vito Sanz, the lead male (not shown), speed toward the beautiful model as shown below:

amid which a collision occurs, which would seem to represent some aspect of social collision theory:

Here, to clarify, in the scenario presented here, namely that it is the force of gravity is all that is needed to set “us in motion”, according to the universal gravitation law:

and that is gravitation alone that causes the four men to attract or accelerate towards the beautiful women, correctly it is visual “sight” or the electromagnetic force that, according to the laws of motion, set the four men in motion. The force of gravity here plays a role, e.g. in setting in motion the female menstrual cycle, thereby putting here “in heat” for a few days each month, thereby increasing the visual electromagnetic attraction, but the bulk nature of the force is the electromagnetic force, the gist of which being captured, for charged particles, in the form of Coulomb’s law:

where q1 and q2 are the charges of the two particles, e.g. electron and proton, r is the distance of separation, and k is Coulomb’s constant. The actual force of attraction between humans, as point masses intermediate in sized between sub atomic particles and planets, accordingly, is the gravito-electromagnetic force, but the equation and constant for these types of attractions have yet to be formulated.

The way this scenario is described in modern terms is that the force that moves each of the men through the distance is called the "force function" or the negative of the thermodynamic potential, which is negative Gibbs energy, in this case is the following social force function:

This, according to Gilbert Lewis (1923), is called the "driving force" of the reaction. The units here, to clarify, are still in units of energy per unit mass (J / mass); hence, to convert this into actual force units of newtons (1N=1kg·m/s²), we employ the principle of the transmission of work:

wherein the work done when the said attraction force "moves" the men to the women, according to the laws of motion, in a thermodynamic sense, is the negative Gibbs energy, hence:

and with substitution of the negative Gibbs energy for work, we have:

and with re-arraignment, we have:

which says that the force of attraction between each of the male bodies, M1, M2, M3, and the female body M4, respectively, in the above scene scenario, is equal to the negative of the Gibbs energy change divided by the distance of separation, a blend of Newton's universal gravitation law and Coulomb's law of electromagnetic attraction, in short.

Scale of existence of things

See main: Scale of existence of things

Hence, to review and summarize, the following gives the general force equation for the various scale of existence of things, atomic and molecular, to human social molecular, to cities and towns, to planets and suns:

	Bodies	Force Equation	Depiction	Force Name	Equation Name

1.	Planets and suns			Gravitational force	Newton’s law of universal gravitation → Ismael Bullialdus (c.1645) → Giovanni Borelli (1666) → Robert Hooke (1684) → Isaac Newton (1686)
2.	Cities and towns			Social gravitation	Warntz’s law → Francesco Algarotti (1737) → Henry Carey (1858) → John Q. Stewart (1939) → William Warntz (1969)
3.	Men and women			Gravito-electromagnetic force	Social physico-chemical attraction law → Johann Goethe (1809) → Mirza Beg (1987) → Libb Thims (2007)
4.	Protons and electrons			Electromagnetic force	Coulomb’s law → Franz Aepinus (1758) → Joseph Priestley (1767) → John Robinson (1769) → Henry Cavendish (c.1772) → Charles Coulomb (1777)

A variant of attraction type two, i.e. force of attraction between men and women, when humans aggregate into populations, is found in William Warntz's 1964 population potential map, as shown below, wherein the social gravitational potential vi, at location i, a distance dij from a given city j with population Pi is given by the following:

wherein, based on data, New York is akin to the social star around which the social planets of Philadelphia, Chicago, Denver, and Los Angeles, etc., rotate, like a solar social system:
Warntz Social Gravitation Potential Diagram (1960)

Warntz Social Gravitation Potential Diagram (1960)

Warntz found, accordingly, that the strength of the interaction I or interaction force Fi, i.e. exchange force, as measured by number of telephone calls, traffic flows, etc., is proportional to the product of the populations of the respective populations P1 and P2 and inversely proportional to their distance of separation squared:

Two film posters are as follows:

Here, we see, firstly, above left, a take on human molecular orbital theory and or social gravitation theory, wherein the character Elena, a model-turned-actress, is the central "star" or sun, around which the other three characters rotate or gravitationally attract and thereby rotate in their orbits (social orbital theory).

At right, we have the the equations, with people interspersed (see: equation overlay method), from top to bottom, firstly the mass-energy equivalence:

$E = mc^2 \,\!$

shown with the non rest mass correction shown, as the body approaches the speed of light.

Second, the uncertainty principle:

which states that the product of the variation in position Δx and the variation in momentum Δp of a particle will be greater than or equal to Planck’s constant h; meaning that the film will likely argue for free will, or something to this effect.

Thirdly, the universal gravitation law:

Lastly, we have what seems to be Claude Shannon's information entropy or an entropy stylized variant of Ludwig Boltzmann's H-theorem:

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Related
The original, of course, is Goethe’s 1809 Elective Affinities (Ѻ), the science of which, namely how “affinities” in Goethe’s day now means “Gibbs energies” in modern days, explained (Ѻ) well by Jurgen Mimkes. There’s also the 2010 Spanish-language remake Afinidades (Ѻ), which has some particle physics philosophy interspersed. Francis Ford Coppola, of note, tried for about two decades to do an English remake of Elective Affinities. But alas, no English-based versions have appeared, generally owing to Bible barricaded America (aka Hollywood).

In 1955, the song “It’s a Chemical Reaction, That’s All” premiered, which was later turned into a number of films..

In 2012, Indians Vamshi Regalla and Ravi Vedula produced a short film on the thermodynamics of love, from a chemical engineer's point of view, about a guy with 9 girlfriends to choose from (Ѻ) to marry, from a thermodynamics view.

In 1993, Tom Stoppard's 1993 play Arcadia, which deals with love, gravity, and thermodynamics.

The "go for the blond" bar scene from A Beautiful Mind (2001) on John Nash comes to mind as well.

Quotes
The following are quotes on Gil’s Laws of Thermodynamics:

“The Laws of Thermodynamics is a light-hearted look at the striking parallels between the laws of physics and the rules of love, showing how easily certain scientific ideas can be transposed to the context of relationships—or even, in some cases such as gravity or the ‘attraction force between two bodies’, applied literally. This is the premise for thisromantic comedy in the guise of a documentary, the plot of which can be summed up as “insecure guy falls for unattainable woman.”
— Alfonso Rivera (2016), “Mateo Gill gives is a lesson in Las leyes de la termodinamica”, Oct 21 (Ѻ)

“Manel, a promising and somewhat neurotic physicist, intends to show us in this hybrid of romantic comedy and scientific documentary how her relationship with Elena, a sought-after model and actress, has not been a complete disaster because of her fault, but because she was determined from the beginning by the very laws of physics, those that discovered geniuses such as Newton, Einstein or the fathers of quantum mechanics. And especially by the three laws of thermodynamics.”
— Anon (2018), Sony Pictures Espana (Ѻ), Feb 27

External links
● Mateo Gil – Wikipedia.