Relativity, the flow of time and speed

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SUMMARY

The discussion centers on the implications of Einstein's theory of relativity, specifically regarding the experience of time for objects traveling at the speed of light (1C). It is established that while time appears to stand still for a photon, this does not imply that its relative velocity is infinite. The concept of relativistic velocities necessitates the use of Lorentz transformations, and attempting to accelerate a mass to the speed of light requires infinite energy, making it physically impossible. The conversation references the sci.physics FAQ for further clarification on these principles.

PREREQUISITES
  • Understanding of Einstein's theory of relativity
  • Familiarity with Lorentz transformations
  • Basic knowledge of the concept of relativistic speeds
  • Awareness of the implications of mass-energy equivalence
NEXT STEPS
  • Study the Lorentz transformation equations in detail
  • Explore the concept of time dilation in special relativity
  • Investigate the implications of mass-energy equivalence (E=mc²)
  • Review resources from the sci.physics FAQ for deeper insights
USEFUL FOR

Students of physics, educators in the field of relativity, and anyone interested in the fundamental principles of time and speed in the context of Einstein's theories.

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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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/
 
Thanks

For the response.
 

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