Reciprocity of Time Dilation (Spatial Length Contraction) Gedanken:
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This gedanken is to test the assertions made by the relative velocity view of Special Relativity.
It takes place in deep space away from any large masses and involves only timing during inertial conditions such that GR affects can be ignored. (Hint do not regurgitate the "Twins" arguement).
The space station shall be labled "A". Two shuttle craft on board are labled "B" and "C". The scientist aboard are planning a mission to test SR and are aware of complexities of testing which would involve Relativity of Simultaneity and so they opt to lay out a flight schedule where only inertial relative velocity to the space station will be timed.
Acceleration/deceleration and simultaneity issues are circumvented making it possible to consider only the predictions regarding relative velocity and time dilation hence indirectly length contraction.
They decide to launch the shuttles in opposite directions simultaneously with equal acceleration for the same period of time according to a master clock in the space station, such that they each achieve a relative velocity of 0.866c to the station. That makes gamma = 2.000 and means each shuttle clock must tick at the rate of one tick for each two ticks of the master clock aboard the station.
The flight schedule is precalculated such that when mathematically the shuttles have reached their target velocity they begin to coast and become inertial and at that time the clocks aboard the shuttles and the space station all begin to record time. Both shuttles transmit a start information signal to the space station.
One can argue about this being simultaneous or not but it doesn't affect the conclusions of the test and can be ignored.
The point is all clocks are recording time at their proper rate while in an inertial (rest) state. The space station and each shuttle is equipped with several clocks.
The capital letter designates in which frame the clock is mounted, followed by "m" means it is the master clock ticking at the proper time rate for that frame. Followed by "a", "b" or "c" means it has been calibrated to reflect the time of the master clock of the frame designated by the small letter. Followed by a "p" means the time is what is predicted by relativity for observers of the frame designated by the capital letter or followed by a "c" means it is calibrated to tick in synch with clock Am for control purposes.
All of these calibrations can be made via precalculation of Special Relativity predictions.
Since the time dilation is precalculated based on the planned flight schedule it is known that (assuming Special Relativity is valid) the proper shuttle clocks, Bm and Cm, will be ticking at one half the rate of Am. Control monitoring clocks have been precalibrated and installed in each shuttle to run at two ticks per each tick of clocks Bm and Cm. They are labled Bac and Cac.
The space stations shuttle prediction monitoring clocks are labled Abp and Acp and are calibrated to tick at one half the rate of Am so as to allow the station operators to know what time has accumulated aboard the shuttles.
The monitors Bac and Cac allow the pilots of the shuttles to see and operate in accordance with the rate that time is passing back at the space station clock Am.
Due to Velocity Addition the relative velocity between "B" and "C" is 0.9897c and Gamma is 6.984 and their clocks each tick at the rate of only 143 ticks per 1,000 ticks of the other.
Respective prediction clocks have been precalibrated in B and C so as to accumulate time of the other as predicted by Special Relativity. That is the clocks will only record 143 ticks for each 1,000 ticks of the respective local proper time clocks Bm and Cm, they are labled Bcp and Cbp
The flight schedule is set to be 10 hours inertial testing from the Am clock.
So that after 36,000 ticks (seconds) according to Am and according to Bac and Cac all clocks stop. Each shuttle transmits a stop information signal back to the space station.
Again the simultaneity of these actions can be argued but have no bearing on the issue at hand and can be ignored.
The results of this test are as follows:
Am = 36,000 Abp = 18,000 Acp = 18,000
Bac = 36,000 and stops all B clocks.
Cac = 36,000 and stops all C clocks.
Bm = 18,000 Cm = 18,000
Bap = 9,000 Cap = 9,000
Bcp = 2,574 Cbp = 2,574
Put into a more understandable configuration where predicted accumulated times of clocks A, B and C are more obvious:
Clock A
------------
Am = 36,000 Test master clock reading.
Bac = 36,000 Shuttle B test control clock.
Cac = 36,000 Shuttle C test control clock.
Bap = 9,000 Shuttle B's incorrect prediction of Am time.
Cap = 9,000 Shuttle C's incorrect prediction of Am time.
Clock B
-------------
Bm = 18,000 Shuttle B master proper time clock test reading.
Abp = 18,000 Station A's correct prediction for Bm test reading.
Cbp = 2,574 Shuttle C's incorrect prediction of Bm test reading.
Clock C
-------------
Cm = 18,000 Shuttle C master proper time clock test reading.
Acp = 18,000 Station A's correct prediction for Cm test reading.
Bcp = 2,574 Shuttle B's incorrect prediction of Cm test reading.
SUMMARY:
Before others point this out let me acknowledge that you are going to be inclined to claim that this test is not testing the affect of motion on clocks in that I am controlling the clocks with precalibrated timers so as to stop at preselected accumulated times per Special Relativity predictions.
But don't throw up your hands yet. There is some interesting things that can infact be demonstrated here.
1 - Accumulated times based on tick rates predicted by Special Relativity due to only relative motion do not agree with times actually accumulated in the test.
2 - The assumption that Special Relativity is valid results in evidence which shows that the theory requires physical clocks to accumulate time at multiple rates so as to satisfy predictions of multiple observers having different relative velocities. A physical impossibility.
3 - The fact that these times are based on actual affects of motion is verfiable in that the start/stop information signals sent from the shuttles can be used to determine that infact the test period was 36,000 seconds according to the master clock Am.
That is all data is based on the same universal time period to a common standard. In that regard the issue of simultaneity which is generally used to mask such comparisons is rendered moot.
In this manner IF the affect of motion were not as per SR then the start/stop signals from the shuttles would not be 36,000 seconds according to the master control clock Am.
4 - Special Relativity requires that clocks B and C both tick at a rate of 0.5 / 1 to the space station clock. That is B and C are ticking at a common rate inspite of the fact that they have a relative velocity to each other which also requires them to tick at rates of about 1 tick to 7 ticks of the other. Impossible reciprocity and impossible ticking conditions for all views.
It should be noted that it is reciprocity predictions which fail, not the primary gamma calculations which are demonstrated by emperical data. The point being that the data also supports an absolute view, it is the reciprocity created by the relative velocity view which is unsupported and unsupportable.
********************************************************
This gedanken is to test the assertions made by the relative velocity view of Special Relativity.
It takes place in deep space away from any large masses and involves only timing during inertial conditions such that GR affects can be ignored. (Hint do not regurgitate the "Twins" arguement).
The space station shall be labled "A". Two shuttle craft on board are labled "B" and "C". The scientist aboard are planning a mission to test SR and are aware of complexities of testing which would involve Relativity of Simultaneity and so they opt to lay out a flight schedule where only inertial relative velocity to the space station will be timed.
Acceleration/deceleration and simultaneity issues are circumvented making it possible to consider only the predictions regarding relative velocity and time dilation hence indirectly length contraction.
They decide to launch the shuttles in opposite directions simultaneously with equal acceleration for the same period of time according to a master clock in the space station, such that they each achieve a relative velocity of 0.866c to the station. That makes gamma = 2.000 and means each shuttle clock must tick at the rate of one tick for each two ticks of the master clock aboard the station.
The flight schedule is precalculated such that when mathematically the shuttles have reached their target velocity they begin to coast and become inertial and at that time the clocks aboard the shuttles and the space station all begin to record time. Both shuttles transmit a start information signal to the space station.
One can argue about this being simultaneous or not but it doesn't affect the conclusions of the test and can be ignored.
The point is all clocks are recording time at their proper rate while in an inertial (rest) state. The space station and each shuttle is equipped with several clocks.
The capital letter designates in which frame the clock is mounted, followed by "m" means it is the master clock ticking at the proper time rate for that frame. Followed by "a", "b" or "c" means it has been calibrated to reflect the time of the master clock of the frame designated by the small letter. Followed by a "p" means the time is what is predicted by relativity for observers of the frame designated by the capital letter or followed by a "c" means it is calibrated to tick in synch with clock Am for control purposes.
All of these calibrations can be made via precalculation of Special Relativity predictions.
Since the time dilation is precalculated based on the planned flight schedule it is known that (assuming Special Relativity is valid) the proper shuttle clocks, Bm and Cm, will be ticking at one half the rate of Am. Control monitoring clocks have been precalibrated and installed in each shuttle to run at two ticks per each tick of clocks Bm and Cm. They are labled Bac and Cac.
The space stations shuttle prediction monitoring clocks are labled Abp and Acp and are calibrated to tick at one half the rate of Am so as to allow the station operators to know what time has accumulated aboard the shuttles.
The monitors Bac and Cac allow the pilots of the shuttles to see and operate in accordance with the rate that time is passing back at the space station clock Am.
Due to Velocity Addition the relative velocity between "B" and "C" is 0.9897c and Gamma is 6.984 and their clocks each tick at the rate of only 143 ticks per 1,000 ticks of the other.
Respective prediction clocks have been precalibrated in B and C so as to accumulate time of the other as predicted by Special Relativity. That is the clocks will only record 143 ticks for each 1,000 ticks of the respective local proper time clocks Bm and Cm, they are labled Bcp and Cbp
The flight schedule is set to be 10 hours inertial testing from the Am clock.
So that after 36,000 ticks (seconds) according to Am and according to Bac and Cac all clocks stop. Each shuttle transmits a stop information signal back to the space station.
Again the simultaneity of these actions can be argued but have no bearing on the issue at hand and can be ignored.
The results of this test are as follows:
Am = 36,000 Abp = 18,000 Acp = 18,000
Bac = 36,000 and stops all B clocks.
Cac = 36,000 and stops all C clocks.
Bm = 18,000 Cm = 18,000
Bap = 9,000 Cap = 9,000
Bcp = 2,574 Cbp = 2,574
Put into a more understandable configuration where predicted accumulated times of clocks A, B and C are more obvious:
Clock A
------------
Am = 36,000 Test master clock reading.
Bac = 36,000 Shuttle B test control clock.
Cac = 36,000 Shuttle C test control clock.
Bap = 9,000 Shuttle B's incorrect prediction of Am time.
Cap = 9,000 Shuttle C's incorrect prediction of Am time.
Clock B
-------------
Bm = 18,000 Shuttle B master proper time clock test reading.
Abp = 18,000 Station A's correct prediction for Bm test reading.
Cbp = 2,574 Shuttle C's incorrect prediction of Bm test reading.
Clock C
-------------
Cm = 18,000 Shuttle C master proper time clock test reading.
Acp = 18,000 Station A's correct prediction for Cm test reading.
Bcp = 2,574 Shuttle B's incorrect prediction of Cm test reading.
SUMMARY:
Before others point this out let me acknowledge that you are going to be inclined to claim that this test is not testing the affect of motion on clocks in that I am controlling the clocks with precalibrated timers so as to stop at preselected accumulated times per Special Relativity predictions.
But don't throw up your hands yet. There is some interesting things that can infact be demonstrated here.
1 - Accumulated times based on tick rates predicted by Special Relativity due to only relative motion do not agree with times actually accumulated in the test.
2 - The assumption that Special Relativity is valid results in evidence which shows that the theory requires physical clocks to accumulate time at multiple rates so as to satisfy predictions of multiple observers having different relative velocities. A physical impossibility.
3 - The fact that these times are based on actual affects of motion is verfiable in that the start/stop information signals sent from the shuttles can be used to determine that infact the test period was 36,000 seconds according to the master clock Am.
That is all data is based on the same universal time period to a common standard. In that regard the issue of simultaneity which is generally used to mask such comparisons is rendered moot.
In this manner IF the affect of motion were not as per SR then the start/stop signals from the shuttles would not be 36,000 seconds according to the master control clock Am.
4 - Special Relativity requires that clocks B and C both tick at a rate of 0.5 / 1 to the space station clock. That is B and C are ticking at a common rate inspite of the fact that they have a relative velocity to each other which also requires them to tick at rates of about 1 tick to 7 ticks of the other. Impossible reciprocity and impossible ticking conditions for all views.
It should be noted that it is reciprocity predictions which fail, not the primary gamma calculations which are demonstrated by emperical data. The point being that the data also supports an absolute view, it is the reciprocity created by the relative velocity view which is unsupported and unsupportable.
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