Interpolation 4
An “interpolation” analysis method of attempt at formulating a “force” operating between humans (e.g. relationship force, social force, economic force, political force), according to which the assumed force, compositionally, would seeming or propositionally be something operational in form between that of the known electrostatic (Coulomb's law) (Ѻ) or electromagnetic forces (i.e. Maxwell's equations), on one hand, the smaller scale, and the gravitational forces (law of gravitation, relativity, and or quantum gravity), on the other hand, the larger scale; hues of which are seen in the affinity laws (e.g. opposites attract, likes repel), social orbital theory (gravity aspects) and exchange force theory of social interaction (e.g. Muller dispersion force or Gottman stability ratio), bonding (human chemical bond theory), and or movement (e.g. turning tendencies), such as the isothermal-isobaric force function (i.e. Gibbs energy).
In science, interpolate or “interpolation”, as compared to extrapolate, or “extrapolation”, refers to the method of finding the value of a function, measurement, or function of a phenomenon that lies within two known values, measurements, or functions; to insert or calculate between other things, functions, or parts. [1]

Social | Relationship force
To go through one example, of interpolation, the adjacent diagram shows how the "force" operating between people should be a type of blend of the electromagnetic force and gravitational force. To get an estimate of this force, according to the principle of the transmission of work:

 W = Fd \,

which translates as:

Force equation

the "force" in question, in respect to freely-running earth surface reactions, according to Lewis (1923), is the isothermal-isobaric "force function", in Gibbsian language, which is Gibbs energy G, which, with substitution, gives us the approximate interpolated equation for relationship-social force:

G interplation equation

This approximation is evidenced, in a colloquial sense, by the so-called "area code rule" (Ѻ) of relationships:

“The area code rule states that if you have a girl in one area code, the minute you enter a different area code you in effect become single.”

That is, once two people, of a same area code relationship, separate in distance d into two different area codes, the so-called "rules" of the relationship change, and promiscuity tends to increase, in respect to the so-called sexual forces in operation. If we employ interpolation to this, we might surmise that the "force" inversely varies as distance squared:

G force and d squared

or that the relationship force is inversely proportional via a relationship constant kr as follows:

F = prod k sub r into frac G over d squared

albeit this would be but interpolative guesstimate; though such estimates have been made, historically, in the various social gravity models.

The following are related quotes:

“The consideration [of] the nature of the forces involved in [human] relationships is not an easy subject. There are numerous pitfalls in applying what we know about ordinary human behavior to love, or even to sexual desires; and so to reinforce this fact I provide you with the following to consider: these processes occur on human time [human time] and length scales which are well known to us, and yet extrapolating (or interpolating?) from the known into the unknown may be dangerous. So one asks, what is the nature of sex and love and so on, and their relation to the other everyday experiences around us? And the answer, of course, follows only from an observation of this world and the processes that occur in it. It must be noted, if it is not obvious, that I have never experienced any sort of romance. It is also true that I [likely] never will, and yet my curiosity drives me to inquire as to the nature of the experience. And it is true that physical theory is the only way in which to answer this question, other than direct experience. While direct experience is undeniably a more reliable way to answer such questions, a few major problems with direct experience must be addressed: first, that it is [probably] not going to happen; and second, that various other people whom I know have been involved in romances, and in some cases they have been involved in many consecutive romances, but have failed to take data during those treasured minutes of sex. Love lasts longer but they don't want to analyze their relationships for fear of destroying them. More seriously, they do not take time to step back and make objective and scientific observations. Thus, for all practical purposes, the mysteries of sex and love can for the time being only be revealed by theory.”
Christopher Hirata (2000), “The Physics of Relationships” (§4:Neutron Scattering: a Cautionary Tale) [2]

1. (a) Daintith, John. (2005). Oxford Dictionary of Science (pg. 311). Oxford University Press.
(b) Extrapolate – Merriam-Webster Collegiate Dictionary, 2000.
2. (a) Hirata, Christopher M. (c.2000). “The Physics of Relationships” (§4:Neutron Scattering: a Cautionary Tale) (Ѻ) (section: Fun),; (WayBack Machine).
(b) Hirata, Christopher M. (2010). "The Physics of Relationships", Journal of Human Thermodynamics, 6(5): 62-76.

External links
Interpolation – Wikipedia.

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