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DanielLC
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Every time the runner hits a corner, the photons should suddenly move to a different part of the track. Due relativity of simultaneity, "now" changes whenever the point of reference of the runner changes. This is the basis of the Rietdijk–Putnam argument. Also, if the second picture is supposed to be from the point of reference of the runner, the runner should be staying still and the track should be moving.

It would make more sense for the photon in front to be blue due to the doppler effect. Although if you carry that logic too far it will get pointlessly complicated. We only care about which photon is which, not how much energy they have.

Edit:

Right now, you have the photon teleport with the track. You are using a Lorentz transformation to find the new position of the photon. The problem is that you're still using the old time. You need to find the time from the new point of reference as well, and then trace the path of the photon in order to find out where it is now.

Every time the runner hits a corner, the photons should suddenly move to a different part of the track. Due relativity of simultaneity, "now" changes whenever the point of reference of the runner changes. This is the basis of the Rietdijk–Putnam argument. Also, if the second picture is supposed to be from the point of reference of the runner, the runner should be staying still and the track should be moving.

It would make more sense for the photon in front to be blue due to the doppler effect. Although if you carry that logic too far it will get pointlessly complicated. We only care about which photon is which, not how much energy they have.

Every time the runner hits a corner, the photons should suddenly move to a different part of the track. Due relativity of simultaneity, "now" changes whenever the point of reference of the runner changes. This is the basis of the Rietdijk–Putnam argument. Also, if the second picture is supposed to be from the point of reference of the runner, the runner should be staying still and the track should be moving.

It would make more sense for the photon in front to be blue due to the doppler effect. Although if you carry that logic too far it will get pointlessly complicated. We only care about which photon is which, not how much energy they have.

Edit:

Right now, you have the photon teleport with the track. You are using a Lorentz transformation to find the new position of the photon. The problem is that you're still using the old time. You need to find the time from the new point of reference as well, and then trace the path of the photon in order to find out where it is now.

Source Link
DanielLC
  • 1.7k
  • 11
  • 11

Every time the runner hits a corner, the photons should suddenly move to a different part of the track. Due relativity of simultaneity, "now" changes whenever the point of reference of the runner changes. This is the basis of the Rietdijk–Putnam argument. Also, if the second picture is supposed to be from the point of reference of the runner, the runner should be staying still and the track should be moving.

It would make more sense for the photon in front to be blue due to the doppler effect. Although if you carry that logic too far it will get pointlessly complicated. We only care about which photon is which, not how much energy they have.