Here, we need to find out what is the difference between physics and mathematics. Physics is a subject that studies the laws of movement and change of things in nature, while mathematics is a subject that studies how to express logical reasoning in the simplest way. The biggest difference here is that physics studies real things, while mathematics studies abstract logical concepts. So it will produce the following logical relationship:

All real things can abstract corresponding logical concepts.

A concrete logical concept does not necessarily have a real thing corresponding to it.

According to the above logic, we can draw the following inferences:

All the conclusions of physics can be expressed in mathematics.

Mathematical expressions do not necessarily have specific physical conclusions corresponding to them.

According to the above conclusions, we can see that physics and mathematics do not conform to the definition of mapping relationship.

In addition, functionally speaking, mathematics is not a science, but a language or tool. In this way, from the perspective of language, there are also the following relations:

Everything that is real can find a language to describe it.

A particular word may not have a real thing to correspond to it.

So from this perspective, mathematics and physics, or mathematics and the real world, do not conform to the definition of mapping relationship.