exmarine said:Do two inertial observers in relative motion agree on their relative velocity? Velocity is distance per unit time and they don’t agree on the distance or the elapsed time. If the apparent distance in the prime system is shorter and the elapsed time is longer, then it seems that the apparent relative velocity in the prime system must be smaller. The inverse transform gets a little strange if one can’t assume the exact same relative velocity.
exmarine said:Do two inertial observers in relative motion agree on their relative velocity? Velocity is distance per unit time and they don’t agree on the distance or the elapsed time. If the apparent distance in the prime system is shorter and the elapsed time is longer, then it seems that the apparent relative velocity in the prime system must be smaller. The inverse transform gets a little strange if one can’t assume the exact same relative velocity.
https://www.physicsforums.com/threa...tial-frames-are-the-same.802308/#post-5036511exmarine said:Do two inertial observers in relative motion agree on their relative velocity?
Relative velocity in Lorentz transform is a concept in physics that describes the speed of an object in relation to another object. It takes into account the effects of special relativity, such as time dilation and length contraction, which can change the perceived velocity of an object depending on the observer's frame of reference.
The Lorentz transform is a mathematical equation that describes how time and space are affected by relative motion in special relativity. It accounts for the fact that the speed of light is constant in all inertial frames of reference and therefore changes in relative velocity will result in changes in observed time and distance between objects.
Yes, relative velocity in Lorentz transform can be observed in everyday life. For example, the GPS system on our phones and navigation devices takes into account the effects of special relativity to accurately determine our location on Earth, as the satellites are moving at high speeds relative to us on the ground.
No, not all observers will agree on the relative velocity of an object in Lorentz transform. This is because their perceived velocities will depend on their individual frames of reference and the effects of special relativity. However, the fundamental laws of physics, such as the speed of light being constant, will remain consistent for all observers.
Yes, there is ample experimental evidence to support the concept of relative velocity in Lorentz transform. One of the most famous experiments is the Michelson-Morley experiment, which showed that the speed of light remains constant regardless of the relative motion of the observer. Additionally, the results of particle accelerators and other high-precision experiments have also confirmed the predictions of special relativity and the Lorentz transform.