Relativity, the flow of time and speed

In summary, according to Einstein's theory of relativity, an object traveling at relativistic speeds will not experience the passage of time. This means that time will stand still for the object. However, this does not mean that the object is actually traveling at an infinite speed, as this is physically impossible. The concept of relativistic velocities refers to speeds that are fast enough to require the use of relativistic formulas. Additionally, attempting to accelerate an object to the speed of light would require an infinite amount of energy, making it impossible.
  • #1
atymtrvlr
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Question:

According to Einstein an object traveling at relativistic speeds would not experience the passage of time (time stands still).

Speaking from the vantage point of the relativistic object:

Let's consider a photon. At 1C time stands still for the photon (T=0).

1. With the absence of time, isn’t the relative velocity of the photon actually infinite (again, from the vantage point of the photon)?

By this I mean V=D/T where V=velocity, D=distance and T=time

Speed is relative to distance traveled in a given unit of time. If T reaches 0 (zero) the calculation cannot be performed & speed cannot be determined.

In another example, if you were in a car traveling at 1C, your speedometer wouldn't function. It requires space and time to calulate speed.

Is this right? Does anyone have any thoughts on this?

I also have a follow-up question.

Thanks!
atymtrvlr
 
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  • #2
You went off the rails at the very beginning

atymtrvlr said:
Is this right?...
According to Einstein an object traveling at relativistic speeds would not experience the passage of time (time stands still).

No, "relativistic velocities" means "fast enough that relativistic formulas must be used". You are thinking of taking the limit [itex]v \rightarrow c=1[/itex] in the Lorentz transformation, but this fails as you can check. Physically speaking the reason is easy to understand: if you try to accelerate a particle of mass m to the speed of light you will need an infinite amount of energy, which is impossible.

Several items from the sci.physics FAQ should help: see http://www.math.ucr.edu/home/baez/physics/
 
  • #3
Thanks

For the response.
 

FAQ: Relativity, the flow of time and speed

What is relativity?

Relativity is a theory in physics that was developed by Albert Einstein in the early 20th century. It explains how the laws of physics are the same for all observers, regardless of their relative motion. It also describes how gravity is not a force between masses, but rather a curvature of spacetime caused by the presence of mass and energy.

How does relativity affect the flow of time?

According to relativity, time is not absolute and is affected by the speed and gravitational pull of an object. The closer an object is to the speed of light, the slower time will appear to pass for that object. This phenomenon is known as time dilation. Additionally, gravity can also slow down time, as seen in the famous "twin paradox" where one twin who travels at high speeds ages slower than the other twin on Earth.

Can an object travel faster than the speed of light?

No, according to the theory of relativity, the speed of light is the maximum speed at which all matter and information in the universe can travel. This speed is approximately 299,792,458 meters per second and is considered a fundamental constant of the universe.

How do we measure the speed of an object in relativity?

In relativity, there is no absolute measurement of speed. The speed of an object is always measured relative to another object. This is why the theory is called "relativity." Speed can be measured using a variety of methods such as radar guns, Doppler effect, and time-of-flight measurements.

What are the practical applications of relativity?

Relativity has had numerous practical applications, including the development of GPS technology, which uses Einstein's theory of general relativity to account for the time dilation effects of satellites orbiting the Earth. It has also been essential in the development of nuclear power and weapons, as well as in the understanding of the behavior of black holes in space.

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