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gdpudasaini
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Can anyone explain me what is the difference between inertial system and coordinate system in relativity? Please make me understand.
Inertial systems are frames of reference in which an object will remain at rest or in uniform motion unless acted upon by an external force. Coordinate systems, on the other hand, are mathematical constructs used to describe the position and motion of objects in space and time. In relativity, inertial systems are used to define the laws of physics, while coordinate systems are used to measure and describe those laws.
According to relativity, the laws of physics are the same in all inertial frames of reference. This means that the laws governing the motion and behavior of objects will be the same regardless of which inertial system is used to measure them. However, the measurements themselves may vary depending on the coordinate system used.
An example of an inertial system would be a spaceship traveling through deep space at a constant velocity. As long as it is not affected by external forces, the spaceship will continue to move in a straight line at a constant speed. A coordinate system could be used to measure the position and velocity of the spaceship relative to other objects or points in space.
In relativity, non-inertial frames of reference are those in which objects appear to experience fictitious forces, such as centrifugal or Coriolis forces, even though no external forces are acting on them. In these frames, the laws of physics may appear to be different due to the presence of these fictitious forces. However, relativity still holds that the laws of physics are the same in all inertial frames of reference.
The principle of relativity states that the laws of physics are the same for all observers in uniform motion. This means that all inertial frames of reference are equally valid for describing the laws of physics. Coordinate systems, which are used to measure and describe these laws, may vary between inertial frames, but the laws themselves remain consistent.