In order to derive this, we have to consider two systems S & S'.Let S' be moving with a velocity v w.r.t S in the positive direction of X-axis.
Clock too!! has to be included as the word dilation means to lengthen at time.
So,suppose a clock is situated in the system S at position x and gives signs of interval ∇t, i.e., ∇t = t2-t1 ___________________(i)
If this interval is observed by an observer in system S',then interval ∇t' recorded by an observer is given by ∇t' = t1'-t2' _____________(ii)
From Lorentz transformation, t1' = t1-(vx/c2)/(1-v2/c2)1/2_____________(iii)
and t2' = t2-(vx/c2)/(1-v2/c2)1/2 ______________(iv)
Substituting the values of t1' and t2' from equations (iii) & (iv) in (ii), we get
∇t' =t2-(vx/c2)/(1-v2/c2)1/2 - t1-(vx/c2)/(1-v2/c2)1/2
= t2-vx/c2 - t1+ vx/c2/(1-v2/c2)1/2 = t2-t1/(1-v2/c2)1/2 = ∇t/ (1-v2/c2)1/2
So, ∇t' = ∇t/ (1-v2/c2)1/2, where ∇t'>∇t.
Hey buddies,just imagine the graph yourself..!!
()()
(':')
(")(")
IZ
The theory led to time dilation and spacial contraction.
twin paradox appears and is solvable with only special relativity, gravitational time dialation requires general relativity.
Time Dilation and Length contraction (essentially the same idea, whenconsidering the sameness of time and space as dimensions - which is the crux of special relativity), and specifically the Precession of Mercury (which is predicted by General Relativity) [which forgoes the necessity of a background reference frame (an axis/coordinate system)] are examples of Relativity.
using the theory of relativity he proved that man can travel in time and he can become invisible and with this knowledge atom bomb is invented the expression e=mc2 is the key whidh explains the mass energy equivalence
I'm not sure what you mean, but the theory of relativity explains how time changes depending on your observation point or speed. When you move close to the speed of light, time will work very differently for you. This is called "Time Dilation" and you can read about it on Wikipedia, or see videos in YouTube.
The theory led to time dilation and spacial contraction.
twin paradox appears and is solvable with only special relativity, gravitational time dialation requires general relativity.
Time Dilation and Length contraction (essentially the same idea, whenconsidering the sameness of time and space as dimensions - which is the crux of special relativity), and specifically the Precession of Mercury (which is predicted by General Relativity) [which forgoes the necessity of a background reference frame (an axis/coordinate system)] are examples of Relativity.
Time is the distortion of the four dimensional spacetime fabric. The more distorted the fabric is, the slower time travels. Search Time Dilation for more information
Yes, they are. If they were not, your GPS would have at most an accuracy of 50 ft.
The field of physics that studies the interactions between time and space is called spacetime physics or, more specifically, relativistic physics. This field encompasses Albert Einstein's theories of special relativity and general relativity, which describe the behavior of objects in relation to time, space, and gravity. It explores phenomena such as time dilation, length contraction, and the curvature of spacetime.
There is no relation between time and mass in classical mechanics or quantum mechanics. However in relativity the mass of a particle depends on the location the particle is in a gravitational field and on the particles velocity. These alterations in mass are directly attributable to time dilation effects. i. e. time dilation and mass changes are one in the same phenomena.
Full studies have not been conducted, but there are some factors that indicate you would age more slowly in space. The lack of gravity would be the single biggest help. Based on physics, if you move in a time frame at the velocity of light, it will provide you time dilation and hey! you are still younger.
using the theory of relativity he proved that man can travel in time and he can become invisible and with this knowledge atom bomb is invented the expression e=mc2 is the key whidh explains the mass energy equivalence
I'm not sure what you mean, but the theory of relativity explains how time changes depending on your observation point or speed. When you move close to the speed of light, time will work very differently for you. This is called "Time Dilation" and you can read about it on Wikipedia, or see videos in YouTube.
GPS and handphones can work because of the satellites, and satellites makes use of special relativity(modern physics) to calculate the time dilation which ensures the satellites sends useful and accurate information.
Relativity: The Special and the General Theory; Sidelights on Relativity; Relativity: Einstein's Theory of Spacetime, Time Dilation, Gravity and Cosmology; Investigations on the Theory of the Brownian Movement