Mass dimensions refer to the units of measurement used to describe the magnitude of a physical quantity. In the context of fields, mass dimensions refer to the units used to measure the strength or intensity of the field at a particular point in space and time.
The term "mass" is included in the concept of mass dimensions because it is a fundamental physical quantity that is closely related to the strength of a field. For example, in the theory of gravitation, the strength of the gravitational field at a point is determined by the mass of the objects present at that point. Similarly, in electromagnetism, the strength of the electric field at a point is determined by the charge of the particles present at that point.
The mass dimension of a field is determined by its physical properties and the units used to measure it. For example, the mass dimension of the electric field is determined by the units of electric charge and distance. The mass dimension of the gravitational field is determined by the units of mass and distance.
In summary, mass dimensions play an important role in describing and understanding the strength and intensity of fields. The inclusion of the term "mass" in the concept of mass dimensions is due to the close relationship between mass and the strength of a field.