Two photons... relative distance question



Consider Inertial Frame of Reference #1: 2 photons are travelling
towards each other along the X-axis. Photon A is at position zero on
the X-axis, and photon B is 1.5 light-seconds away:

FoR#2:
-> <-
A........449688687 meters..........B
O1

Now consider the situation from Inertial Frame of Reference #2, in
which the axes are the same as FoR#1 and photon A is also at position
zero on the X-axis, but the observer, at rest in FoR#2, is travelling
at 0.5c relative to FoR#1, in the same direction as photon A:

FoR#1:
-> <-
A........X meters..........B
O2 (-> at 0.5c relative to O1)

Question 1: Is this scenario possible? (or have I misunderstood
concepts in the theory of relativity?)
Question 2: Where is photon B in FoR#2? (i.e., what is the distance
between A and B in FoR#2)?

.



Relevant Pages

  • Re: relativity of simultaneity - real or perceived?
    ... >> prefer) both travelling at c towards each other along the X-axis. ... >> Photon A is at position zero on the X-axis, ... I think what you mean is that the photons have these worldlines: ...
    (sci.physics.relativity)
  • Re: relativity of simultaneity - real or perceived?
    ... Photon A is at position zero on the X-axis, and photon B is 1.5 light-seconds away. ... Now you need to Lorentz-transform all the points in these lines together, which will give you two new lines, representing the paths of the photons with respect to the other frame. ...
    (sci.physics.relativity)
  • Re: The equation x=ct violates the Uncertainty Principle
    ... photon), from a source located at the origin of the x-axis, will hit ... a detector on the x-axis a distance from the origin. ... the velocity and the position of the first photon is known ... The Lorentz Transformation doesn't matter in this case. ...
    (sci.physics.relativity)
  • Re: relativity of simultaneity - real or perceived?
    ... Thanks to all for their responses. ... prefer) both travelling at c towards each other along the X-axis. ... Photon A is at position zero on the X-axis, ... in which the axes are the same as Frame 1 and photon A ...
    (sci.physics.relativity)
  • Re: The equation x=ct violates the Uncertainty Principle
    ... detector on the x-axis a distance from the origin. ... velocity and the position of the first photon is known simultaneously. ... Galilean transformation equations. ...
    (sci.physics.relativity)