High School Special Relativity and Light -- How does speed of an object affect time?

[jartsa]

Right.

So ?

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As the angular velocities of the minute hands of those watches are different, then it follows that those two watches have different ticking rates, because ticking rate of a clock is proportional to the angular velocity of a clock-hand of said clock.

So clocks with different velocities have different ticking rates.

Velocity is a relative thing. Ticking rate is a relative thing.

 

[BvU]

Are you dangerously close to denying relativity altogether ? Good clocks have exactly the same ticking rates in their rest frames.

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[phinds]

As the angular velocities of the minute hands of those watches are different, then it follows that those two watches have different ticking rates, because ticking rate of a clock is proportional to the angular velocity of a clock-hand of said clock.

Uh ... you SERIOUSLY need to rethink that !

 

[PeroK]

And still it's correct. The fast moving hand is going somewhat slower in time. How can both time velocities keep up? If I find myself near a black hole, different parts of me move through time at different rates. My feet will move slower in time than my head. How will the flow of blood evolve? Will blood accumulate in some parts?

You don't need a black hole. As far as that makes sense, it applies when you're standing on Earth.

 

[PeterDonis]

As the angular velocities of the minute hands of those watches are different

They are different 4-vectors in spacetime, but they each have the same relationship to the corresponding 4-vectors in spacetime that describe the 4-velocities of the clocks. So each clock's "ticking rate" in its rest frame is the same, as @BvU has said.

And still it's correct. The fast moving hand is going somewhat slower in time.

No, it's not correct as he stated it. Each hand moves at the same speed relative to the clock it is attached to. See above.

You're changing the subject. We were talking about an ideal clock moving through space, not a physical clock in a gravity well.

But the situation is comparable.

No, the situation is not comparable. The GR effect you refer to is different from the SR effect under discussion in this thread. If you want to discuss the GR effect, please start a new thread.

 

[PeterDonis]

The OP question has been sufficiently addressed. Thread closed.