A scalar field is a field with one value at any point.
Temperature can be represented using a scalar field. There is only one temperature at any point in our universe.
Theories like Quantum Field Theory describe our universe as a series of interacting fields that are everywhere. The Higgs field gives us mass, a single number at any point in space.
In this sense, the space around us is permeated by many fields.
Space itself is not a single scalar field because space contains many properties at every point that cannot be represented using a single number — for that one might use a matrix of values.
Temperature can be represented using a scalar field. There is only one temperature at any point in our universe.
Theories like Quantum Field Theory describe our universe as a series of interacting fields that are everywhere. The Higgs field gives us mass, a single number at any point in space.
In this sense, the space around us is permeated by many fields.
Space itself is not a single scalar field because space contains many properties at every point that cannot be represented using a single number — for that one might use a matrix of values.
https://en.wikipedia.org/wiki/Scalar_field