I have seen the mathematical concept of the pseudo force exerted to a mass in a non-inertial reference frame. But I did't find any theoretical idea that explains it. When I read the books, it says "to make adjustments for a non-inertial reference frame to apply Newtonian mechanics on it", "we assume a force from a invisible provider opposite to the direction of the frame's acceleration", "we can predict it by Mathematics". But could we give a physical interpretation of it which explains us why we feel such force in the accelerating frame?
If you accelerate relative to other objects, you will see them accelerate towards you. according to Newtons laws if a object is accelerated some force must be acting on it. but this acceleration is not causes by a real force, it is only caused by your own acceleration. Newtons laws then should no longer valid if you are accelerating. However, you can make a trick to make them work: You invent a fictitious force that causes the acceleration of the objects, and then newton's laws become applicable again in your accelerated frame of reference.