Yes, you should find that they are equal, I=I'. You got 0 because you wrote c instead of v in the Lorentz transformations. They are:Kunhee said:When I do, do I find the quantities equal?
The Lorentz Transformation is a mathematical formula that describes how measurements of space and time change between two reference frames that are moving at a constant velocity relative to each other. It is an important concept in the theory of special relativity, which explains the relationship between time, space, and the speed of light.
The Lorentz Transformation is important because it allows us to understand how measurements of space and time are affected by motion. It also helps us reconcile discrepancies between the laws of physics in different reference frames, and has played a crucial role in the development of modern physics and technologies such as GPS.
The Lorentz Transformation was first developed by Dutch physicist Hendrik Lorentz in the late 19th century. It was later refined and mathematically formalized by Albert Einstein in his theory of special relativity.
The Galilean Transformation is a simpler formula that describes how measurements of space and time change between two reference frames that are moving at a constant velocity relative to each other, but does not account for the speed of light. The Lorentz Transformation, on the other hand, accounts for the speed of light and is used in situations where objects are moving at speeds close to the speed of light.
The Lorentz Transformation has many practical applications in everyday life, such as correcting for time dilation in GPS technology and understanding the effects of high-speed travel on human perception of time. It also helps scientists make accurate measurements and predictions in fields such as astrophysics and particle physics.