[j13n]

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.

https://en.wikipedia.org/wiki/Scalar_field

[Eddy_Viscosity2]

Temperature seems like a bad example because its an average of energy in particles in a volume of space. The temperature at any finite point will always be zero. Like what's the temperature on the inside a neutron? Is that even mean anything?

[bardworx]

Wait, why would the temperature at any finite point will always be zero? Because I’m quite confident it would be non zero as emptying space is stupid expensive.

And there is temperature inside a neutron, since it’s not a fundamental particle but composed of quarks: The neutron temperature T, on the Kelvin scale, is given by T = 2E/3k, where E is average neutron energy and k the Boltzmann constant.

Source: https://www.oxfordreference.com/display/10.1093/oi/authority....