Recent content by boggledandnot

OK, so let's make sure we are clear, at the circumstances event the correct answer for the location of the light beam in the coordinates of the primed frame is (cd'/v,0,0,d'/v) based on the light postulate yes or no. In other words, it is not at 2 different places.

I think you have it right. Sure looks like it. Then, the 3rd event is the location of light along the positive x-axis in the coordinates of the primed frame when the circumstances event is true.

The emission event is (0,0) for both frames. The clocks are synched to 0 when the light pulse is emitted and both origins are common. The circumstances event for the unprimed frame is when the primed coordinate (d',0,0) is at its origin. The circumstances event for the primed frame is when the...

Many thnks. But, no that is not what I was looking for. Please see my post below yours.

Really. The group structure is based on the Minkowski metric that says, a light beam measures c in one frame iff that same light beam measures c in the other frame. The metric does not prove that the transformation produces the same light beam that measures c in the other frame given a set of...

Sure, I would like to see a proof that the primed frame origin using the light postulate agrees with the unprimed frame's calculation using the lorentz transformations on the location of the light. So, the unprimed frame origin claims the light is located at a transformed (x'y'z't') under some...

Once you have the answer (x',y',z',t') from (x,y,z,t) have you ever proved the primed origin agrees with this answer yes or no? I mean, if you are going to make claims about logic in the primed frame, then certainly it is science to request that the primed frame origin for example agrees this is...

Many Hi's. GPS proves on Earth ignoring sagnac and GR effects that one way light speed is c or GPS would not work.

Yes, the speed of light is invariant. But, that is not what I am asking. And, I know exactly how to derive x'^2 + y'2 + z'^2 = (ct')^2 from x^2 + y^2 + z^2 = (ct)^2 and vice-versa. It is trivial algebra.

Thanks for your advice on textbooks. Anyway, after we have this mapped point using the math as I posted above, we get say (x',y',z',t') from (x,y,z,t) using the lorentz transformations which you call the math. And I am not asking for detailed proofs of the lorentz transformations. That is not...

Yes, but prove the primed frame agrees for all possible circumstances that the Lorentz transforms are correct. If it is so simple prove it with the math.

Yes, can you prove mathematically that the other frames agree with the any answer in the Lorentz group. That is what I am asking.

Assume a light was emitted from the origins of two frames in relative motion. Assume the light acquired some position (x,y,z,t) in an F frame. Then map that point using the lorentz transformations to (x',y',z',t') in a F' frame. Can anyone prove under all conditions that the the light...