Question

Although inertial forces are just our mathematical creation to help apply Newton's law even in non-inertial frames, can we assume or is it (mathematical proof) that inertial forces also create its field.

I think it does so, because when we say that we cannot distinguish between gravity and accelerated motion, we assume them to be same.

Is it just as assumption or a correct assumption?
Options:

A) It's purely an assumption without any basis in physics.
B) There is mathematical proof that inertial forces create their field.
C) It is a correct assumption based on the principle of equivalence in General Relativity.
D) The assumption depends on the specific frame of reference and lacks universal validity.

Answer 1

No, there is no mathematical proof that inertial forces create their own field. The assumption that gravity and accelerated motion are indistinguishable is based on the principle of equivalence in General Relativity. Inertial forces are considered to be fictitious forces that arise due to the acceleration of an object in a non-inertial frame of reference.

Step-by-step explanation:

No, there is no mathematical proof that inertial forces create their own field. Inertial forces are considered to be fictitious forces that arise due to the acceleration of an object in a non-inertial frame of reference, such as an accelerating car or a rotating merry-go-round. These forces do not have a physical origin and are not caused by the presence of a separate field.

The assumption that gravity and accelerated motion are indistinguishable is based on the principle of equivalence in General Relativity. According to this principle, a gravitational field and an accelerated frame of reference are equivalent in their effects on the motion of objects. However, this does not imply that inertial forces create their own field; it simply means that the effects of gravity and acceleration can be mathematically described in a similar manner.

Therefore, the correct assumption is option C) It is a correct assumption based on the principle of equivalence in General Relativity.