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phyti
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This is a response to the those asking for a non technical explanation,
and those who claim there isn't one.
and those who claim there isn't one.
The speed of light c in a vacuum , is constant relative to its point of origin.
It should be emphasized that the time dilation is a result of the frame moving with respect to light,
not motion relative to another frame.
The equations verify this fact.
Wallace said:Hmmm, that doesn't seem any simpler than typical textbook explanations and I'm not sure that it's correct in any case.
Is not true. The speed is constant relative to all observers!?
I should hope not!
phyti said:Where in the expression for time dilation do you see a factor for another frame of reference? It's only v and c!
G01 said:[tex] t = \frac{t_p}{\sqrt{1-\frac{v^2}{c^2}}} [/tex]
What about t and t_p? One is a factor from one reference frame, the other from a different reference frame, so, no, it isn't only v & c there are the times. Plus v is the speed of a reference frame, so that is another factor relating to reference frames. Sorry, but you can't really get rid of the concept of reference frames moving relative to each other here.
Huh? You refer to "the speed v of Al's frame", but don't talk about the other frame. "v" is certainly not the speed of the frame with respect to the light signals, whatever that might mean. (Why v and not 2v or 3.5v? Where does the v come from?)phyti said:The t and v are for the observer moving
with the clock relative to the light signals.
An "event" is not a reference frame. The space-time coordinates of an event can be measured from any reference frame.The only other reference frame besides the observer is the event (the emission of light).
Time dilation is a phenomenon in which time appears to move slower for an object or person that is moving at high speeds or in a strong gravitational field, as compared to a stationary observer. This means that time is not constant and can be altered depending on the speed and gravity of the observer.
Time dilation occurs because of Einstein's theory of relativity, which states that time and space are relative to the observer's perspective. As an object's speed increases, time for that object appears to slow down for an observer. This happens because the faster an object moves, the more it distorts space-time, causing time to appear to slow down.
A classic example of time dilation is the famous Twin Paradox. In this scenario, one twin stays on Earth while the other travels through space at high speeds. When the traveling twin returns, they will have aged less than the twin who stayed on Earth. This is because the traveling twin experienced time moving slower due to their high speed.
Yes, time dilation is a real phenomenon that has been proven through numerous experiments and observations. It is an important concept in modern physics and is essential for understanding the behavior of objects in the universe.
Time dilation has many practical applications, including in the fields of space exploration and satellite navigation. Understanding time dilation allows us to make precise calculations for space missions and accurately track the movement of satellites. Time dilation also plays a crucial role in technologies such as GPS, which requires precise timing to function correctly.