A scalar field can exist without a net source, analogous to a magnetic field where the number of sources equals the number of sinks. In this discussion, a "source" is defined as a non-zero divergence. The divergence of a scalar function is a critical concept in understanding this relationship. The consensus is that while scalar fields can exist without a net source, the implications of divergence must be clearly understood.
PREREQUISITESPhysicists, mathematicians, and students studying field theory, particularly those interested in the properties of scalar fields and their divergence characteristics.
This is precisely my questionDale said:In this context a "source" is a non zero divergence. Do you have a definition for the divergence of a scalar function?