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New Theories / Re: What is the real meaning of the most-distant-quasar/galaxy?
« on: Today at 22:21:04 »It is stated:This quote is taken out of context. It is speaking of inertial frames, and not non-inertial frames. Lorentz transformations do not directly apply to other kinds of frames, nor do Einstein's velocity addition formulas, nor is the speed of light a constant. They do make the mistake of referencing the velocity of light instead of speed, the former which is different from one inertial frame to the next.
"The relative velocity of any two objects never exceeds the velocity of light. Applying the Lorentz transformation to the velocities, expressions are obtained for the relative velocities as seen by the different observers. They are called the Einstein velocity addition relationships."
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The formula is as follow:Interesting that you quote this formula but then don't use it.
u = (v+u') / (1+ vu'/c^2)
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Do you see any error in this calculation?You very much know it's wrong, at least for inertial frames.
Kryptid gives the correct value.
Cosmological coordinates are not inertial, and the formula is different. It is an absolute frame, not a relative one, so Lorentz transformations do not directly apply. Recession rates are expressed as a rapidity, not a velocity, so there is no limit to the rate and their addition. While not totally trivial, it is fairly straightforward.