fields or the society of matter

11.X.MCDXXX

Fields are not the only way to describe systems at the level of the fundamental interactions.

Fields for as long as i remember offer the most straightforward , the only way to describe the fundamental forces of nature.

On the other hand as an earlier post pointed out in a conjecture about social fields, some of the same ideas could be applied to the study of human interactions in social settings (unverified). e.g., each person emits certain types of fields, and the interactions among those fields define the kind of social behavior of people.

this could be studied using wave functions on the macro level for an entirely new set of "gauge" charges, reflecting typical social factors - eg psychological, cultural economic and political - that define social behavior, and also factors atypical for social sciences, like spirituality.

when studying particle systems, could there be similar high level descriptions?

as an example, one of the most popular abstractions of the past century is group theory based entirely on transformations. It is a classification of things by the types of transformations they can undergo (they admit).

These proved to be the primitives from which the different states can be constructed to describe the properties of different particles - mass; quantum numbers like the spin which reflects its magnetic field strength and direction (moment); angular momenta and flavors like the e- charge. thus in large part, the field mechanical formalism is a group theoretic one.

So what other higher level concepts - if any - can be identified and applied to the study of systems of particles interacting in the fundamental fields, other than the field formalisms?

one of the encouraging indications about this line of thought is that it is currently laughable - too laughable to bring up in sci'fic company.

This graph shows a few of the groups describing particle families based on fundamental interaction (force) fields in which they figure as gauge particle, or field generator / interactors (eg, the standard model aiming to include all particles, involves the cross product of three groups - for three fundamental interactions - note there is none for gravity, as no particle for it is yet known :)), in relation to other mathematical objects, including finite automata (computers).

It is reproduced from this earlier post. Made using Graphviz/2.22 :)