Lorenz Transformation of Time: Explained

In summary, Lorenz transformation of time means clocks run slower in one observer's reference frame than in another's. This can be explained by the fact that moving objects have clocks that must "go" longer distances to measure a 'tick' of time.
  • #1
AhmedHesham
96
11
For example, Lorenz transformation of time means
That measurement of time changes from one observer
to another. I have read that this means moving clocks
run slower. But this can't be true because Lorenz transformation of time depends on both of the seed
of the observer and the object he observes. How can
the clock depend on the speed of the object we observe?
 
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  • #3
  • #4
AhmedHesham said:
So how do we Measure time In Michelson Morley experiment?
The MMX did not exactly measure time. It measured the difference in time between the two arms. That was measured through the interference fringes.

My point with the reference above is that you shouldn’t state “it can’t be true”, because the Lorentz transform has been tested thoroughly. Instead, the question should be “how can it be true”.
 
  • #5
Dale said:
The MMX did not exactly measure time. It measured the difference in time between the two arms. That was measured through the interference fringes.
OK,i am going to read more about this. Thank you
 
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  • #6
AhmedHesham said:
For example, Lorenz transformation of time means
That measurement of time changes from one observer
to another. I have read that this means moving clocks
run slower. But this can't be true because Lorenz transformation of time depends on both of the seed
of the observer and the object he observes. How can
the clock depend on the speed of the object we observe?

Each person who views the other's reference frame clock will see the other clock run slower.
However, that doesn't mean both clocks are actually running slower than the other.
Read up on the twin paradox.

The fact is, a clock is a measurement of a cycle. Whether it be the number of times an electron has gone around an atom, or the number of vibrations that an a bunch of atoms have made. That's how clocks work.

But when an object "moves" in a straight line, and has a clock "pendulum" transverse to that motion; the distance the pendulum moves is longer than if the clock itself was not also traveling. The hypotenuse of a right triangle is always longer than either leg. So, moving objects have clocks that must "go" longer distances to measure a 'tick' of time. If the clock uses electromagnetic signals, anywhere, they travel with the speed of light; and therefore, take longer "time" to complete a cycle.

That's why Einstein talked about the twin paradox. His discussion was to answer exactly the objection you just raise. However, the solution is that one of the two observers come back with less time elapsed on their clock at the end of the experiment.

In relativity, there are both "apparent" and "real" time changes. They "look" the same for both observers, but there's an objective difference.
 

1. What is the Lorenz Transformation of Time?

The Lorenz Transformation of Time is a mathematical formula used in the theory of special relativity to describe how time is perceived by observers in different frames of reference. It was developed by physicist Hendrik Lorentz in the late 19th and early 20th century.

2. How does the Lorenz Transformation of Time work?

The Lorenz Transformation of Time involves a series of equations that relate the measurements of time and space between two different frames of reference. It takes into account the relative motion and velocity of the two frames to determine how time is perceived by observers in each frame.

3. Why is the Lorenz Transformation of Time important?

The Lorenz Transformation of Time is important because it is a fundamental component of the theory of special relativity, which has been confirmed by numerous experiments and observations. It helps us understand how time behaves in different reference frames and allows us to make accurate predictions and calculations in physics.

4. Can you give an example of the Lorenz Transformation of Time in action?

One example of the Lorenz Transformation of Time in action is the phenomenon of time dilation, where time appears to slow down for an observer moving at high speeds relative to another observer. This has been observed in experiments with atomic clocks on airplanes and in particle accelerators.

5. Are there any limitations or criticisms of the Lorenz Transformation of Time?

Some criticisms of the Lorenz Transformation of Time include its dependence on the constancy of the speed of light and its inability to fully explain certain observed phenomena, such as the behavior of gravity. Additionally, it is limited to describing objects in uniform motion and does not account for acceleration or gravitational effects.

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