Doc Al said:
You must distinguish two things: When the lightning flashes happened versus when the light from those flashes reaches a particular observer. Everyone agrees that the light from both flashes will reach Observer #1 (in the middle of the embankment) at the same time. Everyone also agrees that the light from both flashes will reach Observer #2 (in the middle of the train) at different times.
Observer #2 knows where the flashes happened in his frame (at the ends of the train, as far as he's concerned). Since he knows he's right in the middle of the train, the fact that the light reaches him at different times forces him to conclude that the flashes must have happened at different times. (If they flashed at the same time, the light would have reached him at the same time since the light from each flash travels the same distance in his frame.)
On the other hand, Observer #3 also knows where the flashes happened in his frame of reference (at the ends of the platform, as far as he's concerned). So he can calculate how long they must have took to reach him. His calculations will confirm that the lightning flashes must have occurred simultaneously. (Sure the light from one flash reaches him before the light from the other flash. But that's just because he's closer to one of the flashes.)
I think your's is one of the better descriptions of what and why Albert reached his conclusion.
Why can other people on the ground know they are not at the mid point but the person on the train does not know he is moving? It sure seems that the person on the train is just as smart as the many people on the ground. It sure seems that the person on the train could also calculate and get the correct results.
Suppose we use what will be referred to as Don’s Unified Simultaneous Relativity Experiment. In this experiment we will eliminate the simultaneous lightning strikes and substitute reflectors. Now, instead of observing simultaneous lightning strikes we will observe simultaneous reflections. We will also have 4 reflections with 2 on the ground and 2 on the train. We will have one flash of light that is split to travel on the ground and on the train.
To setup and validate our conditions, we will have the train standing beside the companion points on the ground. The reflector at the back of the train will be next to the reflector on the ground. The same applies for the mid point and front point reflectors.
In the middle of the train we have a single light source that is triggered when the train mid point and the ground mid point are beside each other. The light will be split with part going to a reflector on the ground at the mid point. The other part of the light will travel the same distance to a reflector on the mid point on the train.
Those two simultaneous reflections will be split again. In both cases, part goes forward and part goes to the back. Since the train is not moving. We will have the single light event split to cause two simultaneous events. Those two events will cause 4 simultaneous events when the 4 light pulses arrive at the front and back reflectors. The front reflector on the ground and on the train will receive then reflect the light at the same time the back ground and train reflectors receive and reflect the light.
The 4 simultaneous reflections will occur sending the original single light flash, that was split, back to the sending location. The four simultaneous reflections will be detected simultaneous by their respective midpoint ground and train reflector sensors. The mid point reflector sensor on the train will also be able to sense the light pulse reflections on the ground from the front and back.
This scenario has one light pulse that causes 2 simultaneous events that cause 4 simultaneous events. The 4 simultaneous events fully replace and serve as substitutes for the two simultaneous lightning strikes in the Theory of Relativity paper. We have a hierarchy of relativity with the flash point at the beginning, then extending through the initial and secondary split of the light to the 4 simultaneous reflections before returning through the hierarchy for detection.
Now we simply move the train back some distance and have it moving when the single light pulse occurs. Again, the single light source is triggered when the train mid point and the ground mid point triggers are beside each other. Again, the light is split with part going to a reflector on the ground at the mid point. The other part of the light will travel the same distance to a reflector on the mid point on the train. The single light that was split has unified the train moving frame and the ground stationary frame. Again, those two simultaneous reflections are split. In both cases, part goes forward and part goes to the back.
Even though the train is moving, the 4 parts of the one pulse of light will cause 4 simultaneous events when the 4 light pulses arrive at the front and back reflectors on the ground and on the train. Again, the front reflector on the ground and on the train will receive then reflect the light at the same time the back ground and train reflectors receive and reflect the light. Again the two reflections on the ground will simultaneously arrive at the ground mid point reflector sensor. Also, the two reflections on the train will simultaneously arrive at the mid point of the train.
However, since the train is moving, the reflection from the ground front and back reflectors will not arrive at the secondary train sensor, that is for detecting the ground light pulse, at the same time the train pulses of light arrive. That secondary train mid point reflector will measure the same timing results of the lightning strikes as observed in the Theory of Relativity paper.
In Don’s Unified Simultaneous Relativity Experiment, three of the times that light from the front and back reflectors are detected confirms the timing results of Albert’s experiment. However, in Don’s experiment, there is a additional light detection event. We have the detection of the simultaneous return of the reflection from the train reflectors which is simultaneous with the detection on the ground. This fourth event reveals a problem with the partial results of Albert’s limited experiment.
The one light pulse in Don’s Unified Simultaneous Relativity Experiment established the relationship between the 4 simultaneous events that are in different frames. While the 2 lightning strikes observed in Albert’s paper gives only an appearance of conflicting with a constant time, the inextricable unity of the simultaneous events in the different frames, in Don’s experiment, verifies that there is a unified complex hierarchy of relativity that precludes any false perception.
The one observer who established the conditions of the experiment could pick any point of reference. The results are the same from any train reference point as well as from any ground or remote location.
Conclusions from Don’s Unified Simultaneous Relativity Experiment
1. Albert’s results related to the timing of the arrival of the light pulses are confirmed by Don’s experiment.
2. The perception of time having no meaning established in Albert’s paper remains as a false perception that may misdirect observers.
3. Don’s experiment shows that an event in a moving frame has a unified relationship with simultaneous events in other frames that may be stationary or moving relative to the original moving frame. The choice of frame of reference related to simultaneous events is irrelevant.
4. Don’s experiment delivers the additional result that shows a unified relationship for the constant progression of time between and among different frames regardless of the position or movement or selection of a frame of reference.
5. Don’s Unified Simultaneous Relativity Experiment shows that light from one source adopts a unified relationship with the frames the light enters. In the experiment I showed that the light from the single flash travels at the speed of light in different frames that are moving at different speeds relative to each other. The portion of the light on the ground travels at the speed of light relative to the ground. The portion of the light on the train also travels at the speed of light relative to the train. As a result, portions of the single flash of light simultaneously traveling at different speeds which are additive to the speed of the ground as well as additive to the speed of the train.
When all data is known and considered, the unified simultaneous relativity in the constant progression of time enables observers to overcome the false perception from one moving frame to another.
I think this experiment has profound impact. For that reason, I have a copyright on it. Reference to this experiment should include reference to me, the copyright owner.