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Posted (edited)

Yes the graph is 

Lorentz-factor-svg.png

 

The Gamma field is a function of velocity(https://www.mathsisfun.com/sets/function.html).

OK, the speed V doesn't change, as can be seen from the figure ,γ (V) is a constant.

 

But you just told me:”No, they will still differ by their velocity as a function of gamma.“

 

Why are they still different? Are there other factors that should affect it?

Edited by TonyYuan2020
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Posted (edited)

 

 

Why are they still different? Are there other factors that should affect it?

Change in velocity will affect it, for each object's unique velocity.

Edited by VictorMedvil
Posted (edited)

 

 

 
 
γ (V)  = Calculus(x*dv)?   or    γ (V)  = Calculus(v*dx)? what is x?
 
first γ (V) =0, because of V is a constant, so dv = 0. So what is the x in the second?

 

That is incorrect as across different reference frames velocity changes, thus is not constant across the different objects or frames of reference.

Edited by VictorMedvil
Posted

Their speed is the same.  velocity (speed + direction ) is different. Do you mean their direction of speed affects it?

No, the direction of the speed doesn't affect it the magnitude of the different object's velocities affect it.

Posted

But the speed of these ships is the same, they just have different directions.

Then they have the same rate of time as well, if the magnitude of velocity is different then they have a different rate of time.

Posted

Then they have the same rate of time as well, if the magnitude of velocity is different then they have a different rate of time.

 

So now you admit that these ships have the same time rate?Right? Because they have the same speed.

Posted

So now you admit that these ships have the same time rate?Right? Because they have the same speed.

That's what I was saying the entire time, If they have the same velocity then they have the same rate of time, if they have different velocities then different rates of time, you kept changing the velocity that they were going.

Posted

That's what I was saying the entire time, If they have the same velocity then they have the same rate of time, if they have different velocities then different rates of time, you kept changing the velocity that they were going.

Can I understand this passage like this? You admit that these ships have the same time rate as their speed is same.

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