Given the findings and work listed below, I would like to ask the following.

- What is/ or is there a the state of the art research/foundations to establish and measure semantic weight, semantic entropy?

- If we can model a semantic field as a vector field, could we also talk about anyhow energy bonds between words/concepts?

- Or maybe we could also model a surface tension of a semantic field?

That is, while information is considered to be not "physical"  (however they measured its mass), obviously its processing requires a) physical energy b) structural changes in physical matter to store its structures. We know (Shannon) that information entropy has a link to required time or space to transmit/store information.

So I suppose there could be some link to physical word, and maybe we can formally establish it through understanding these facts from perspectives of different disciplines.

Is it all about finding "laws" of physical manifestation of evolving semantic/mental concepts and implications? Looking forward to discuss.

Relevant sources so far:

"This paper develops a

computationally tractable definition of semantic weight"

M. Dras (1995) Automatic identification of support verbs: A step towards a definition of semantic weight

"The working hypothesis we present here is that the dynamics of semantic drifts can be modeled on a relaxed version of Newtonian mechanics

called social mechanics... gravitation as a metaphor to express changes in the semantic content of a vector field lends a new perspective"

Daranyi/Wittek et al. (2016) "A Physical Metaphor to Study Semantic Drift"

Semantic field: Wikipedia

"a semantic field is a set of words grouped semantically (that is, by meaning), referring to a specific subject." (used in linguistics, and also computational semiotics)

https://en.wikipedia.org/wiki/Semantic_field

https://en.wikipedia.org/wiki/Semantic_network

https://en.wikipedia.org/wiki/Knowledge_Graph -> Google uses exceptionally considerable amounts of space and energy to manage this information structure.

Possibly related discussion on Research Gate: 

"What is the weight of information?"

https://www.researchgate.net/post/What_is_the_weight_of_information

"Based on the Brillouin (negentropic) principle, we answer to the question: Does information have mass? The obtained answer is affirmative and the mass associated to a bit of information (which is always a positive definite quantity) is explicitly calculated."

Read More: http://www.worldscientific.com/doi/abs/10.1142/S0219477514500023

"Semantometrics: Towards Fulltext-based Research Evaluation"

https://arxiv.org/abs/1605.04180