One of my favorite ideas regarding the nature of the field (of Being) is from the perspective of quantum mechanics.
It may be manifest in a non-local sense, disembodied and extended, as a wave function (wuji) , or as an entity/ particle (taiji) - localized in space-time, with defined properties (i.e., position, momentum, etc.), the moment one "opens ones' eyes" or makes a test.
With regard to your second query, I do not know of any formal research. As you may know, people have used collective meditation (prayer) to influence the minds of others. To me, it remains an open question. Does the Ocean feel the rain? Perhaps the Sky sees everything, and remembers.
However, there are speculations that those who are gifted may use the Schumann field or continuum for activities (e.g., communications, remote/distance viewing, etc.) that are puzzling to the rational and bounded cognitive processes we live by.
As an example, you think of somebody you knew, with whom you have not spoken nor seen for a long time. Then they call, show up, or otherwise contact you, and say they too were thinking about you. What was that all about?
What about those times, when the air between us appears to get "thick"? What is the physical mechanism or agency responsible for the change in our perceptions of our environment?
Finally, I wonder if other animals are also coupled to the Schumann field and sensitive to its rhythms.
So many questions, so little to say... ;.)
By PK Melethil