Physically, this means that a scalar field is independent of the observer.
This is true even for a complex scalar field.
For instance, a scalar field with a positive potential can violate this condition.
His framework replaces the fine structure constant by a scalar field.
For example, a scalar field cannot produce the bending of light rays.
In physics, scalar fields often describe the potential energy associated with a particular force.
Consider a surface S on which a scalar field f is defined.
This scalar field acts together with all the rest to generate the metric.
The scalar field is called the velocity potential for the flow.
The dark matter can be modeled as a scalar field using two fitted parameters.