Can anyone see the problem with the below?
Multiple Light Emission Points under SR
Assume two rods of rest length d. Also, assume the two rods are in relative motion v. One rod names its endpoints O and R and the other names its endpoints O’ and R’. O’ has a light source. When O and O’ are co-located, O’ emits light up the positive x-axis toward R and R’.
When O is viewed as stationary and R is met with the light, t = d/c from the light emission time. Therefore, O' will be located along the position x-axis a distance of vt = vd/c from O when R is struck. Likewise, When O' is viewed as stationary and R' is met with the light, t = d/c from the light emission time. Also, O will be located along the negative x-axis a distance of vt = vd/c from O' when R' is struck. Hence, both frames agree O and O' are separated by a distance of vd/c when each of the targets R and R' are hit by the light and there is only one such point for each where both can agree they are separated by vd/c.
Einstein’s proclaimed the clock synchronization method is “free from contradictions”.
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fourmilab.ch/etexts/einstein/specrel/www/
This clock synchronization method makes the following assertions.
1. The light path is precisely the path from the stationary light emitter to the stationary mirror.
2. The light path is precisely the path from the mirror back to the light emitter.
3. Light takes the same amount of time to travel each way.
In order for the clock synchronization method to be “free from contradictions”, all three of the conditions above must be free from contradictions. Hence, in particular it must be a logical truth that the light path is precisely measured from the light emission point in the frame to the light receiver. Therefore, is must be a logical truth that the light emission point in the frame must be the absolute origination point for the light ray. If it is not the correct absolute light origination point, then it cannot be the case that condition 1 is a logical truth free from contradictions because the correct light path is not known. If condition one is not free from contradictions, then the clock synchronization method is not free from contradictions. Since the clock sync method lays the foundations for the Lorentzian transformation, then LT is not free from contradictions.
In the above thought experiment, taking O as stationary, when O and O’ are separated by a distance vd/c, O claims the light path for the one light source is precisely the path from O to R. On the other hand, taking O’ as stationary, when O and O’ are separated by a distance vd/c, O ‘claims the light path for the one light source is precisely the path from O’ to R’. Each are supported by condition a above that their claims for the precise origination point of light is free from contradictions or that it is a logical truth. However, each claim a different origination point in space for the light beam when they are separated by a distance vd/c. Hence, both cannot express a logical truth for the actual light path. However, if either is wrong, then clock synchronization cannot be free from contradictions.
Multiple Light Emission Points under SR
Assume two rods of rest length d. Also, assume the two rods are in relative motion v. One rod names its endpoints O and R and the other names its endpoints O’ and R’. O’ has a light source. When O and O’ are co-located, O’ emits light up the positive x-axis toward R and R’.
When O is viewed as stationary and R is met with the light, t = d/c from the light emission time. Therefore, O' will be located along the position x-axis a distance of vt = vd/c from O when R is struck. Likewise, When O' is viewed as stationary and R' is met with the light, t = d/c from the light emission time. Also, O will be located along the negative x-axis a distance of vt = vd/c from O' when R' is struck. Hence, both frames agree O and O' are separated by a distance of vd/c when each of the targets R and R' are hit by the light and there is only one such point for each where both can agree they are separated by vd/c.
Einstein’s proclaimed the clock synchronization method is “free from contradictions”.
www
fourmilab.ch/etexts/einstein/specrel/www/
This clock synchronization method makes the following assertions.
1. The light path is precisely the path from the stationary light emitter to the stationary mirror.
2. The light path is precisely the path from the mirror back to the light emitter.
3. Light takes the same amount of time to travel each way.
In order for the clock synchronization method to be “free from contradictions”, all three of the conditions above must be free from contradictions. Hence, in particular it must be a logical truth that the light path is precisely measured from the light emission point in the frame to the light receiver. Therefore, is must be a logical truth that the light emission point in the frame must be the absolute origination point for the light ray. If it is not the correct absolute light origination point, then it cannot be the case that condition 1 is a logical truth free from contradictions because the correct light path is not known. If condition one is not free from contradictions, then the clock synchronization method is not free from contradictions. Since the clock sync method lays the foundations for the Lorentzian transformation, then LT is not free from contradictions.
In the above thought experiment, taking O as stationary, when O and O’ are separated by a distance vd/c, O claims the light path for the one light source is precisely the path from O to R. On the other hand, taking O’ as stationary, when O and O’ are separated by a distance vd/c, O ‘claims the light path for the one light source is precisely the path from O’ to R’. Each are supported by condition a above that their claims for the precise origination point of light is free from contradictions or that it is a logical truth. However, each claim a different origination point in space for the light beam when they are separated by a distance vd/c. Hence, both cannot express a logical truth for the actual light path. However, if either is wrong, then clock synchronization cannot be free from contradictions.