- #1
Hugh de Launay
Gold Member
- 37
- 1
This is an inquiry about some of the details of the bending of the trajectory if a photon by curved space-time (S-T) from the perspective of general relativity (GR).
The environment in this scenario contains a black hole at its center, a photon passing by the black hole a km above the event horizon, a starship observation platform which is moving a few kms per second well off from the black hole, and a light speed observer platform traveling next to the photon with technology that makes the photon visible to the observer. There is also an imaginary two dimensional flat sheet that can track the photon's wave motion. The sheet intersects the center of gravity of the black hole, the center of the photon, and the center of the length of its trajectory.
The observer in the accelerated reference frame of the photon reports to the starship that the photon appears to be unaffected by the curvature of S-T because at each instant it is moving along a vector that is tangent to the curvature of S-T. The photon is further reported to be a disk of electromagnetic waves perpendicular to the direction of its motion.
The observer in the starship's inertial frame of reference focuses his or her attention upon the photon's wave pattern in segments of 1000 meters. The observer plots the photon's wave motions tracked on the imaginary flat sheet that intersects the black hole's center of gravity and the center of the photon. In the starship, a history of the photon's wave pattern in two dimensions is printed for examination by the starship observer.
The printout shows the starship observer what was suspected. The curved line which was parallel to the photon's trajectory and intersected the top points of all of the crests of wave motion was longer than the parallel curved line which intersected the lowest points of the troughs. The starship observer finds that the distance between the intersection points on the lower side are closer together than the distance between the equal number of points on the line that intersected the top points of the crests.
The starship observer concludes that the S-T curvature below the center of the photon was sharper than the S-T curvature above the center of the photon. So the sharper curvature of S-T below the photon had a relatively slower pace of time than the S-T curvature above the center of the photon. The reason the action of the troughs keeps up with the action of the crests, in spite of their difference in the pace of time, is that they have a shorter distance to execute their wave pattern.
In this hypothetical case the sharp curvature of S-T altered the shape of the photon. The question is, does this happen to all fundamental particles when they are viewed from a distant observer?
I am also interested in finding out if what I have just written is valid in GR. If it is not valid, I wouldn't mind hearing what modern or old GR has against this scenario.
The environment in this scenario contains a black hole at its center, a photon passing by the black hole a km above the event horizon, a starship observation platform which is moving a few kms per second well off from the black hole, and a light speed observer platform traveling next to the photon with technology that makes the photon visible to the observer. There is also an imaginary two dimensional flat sheet that can track the photon's wave motion. The sheet intersects the center of gravity of the black hole, the center of the photon, and the center of the length of its trajectory.
The observer in the accelerated reference frame of the photon reports to the starship that the photon appears to be unaffected by the curvature of S-T because at each instant it is moving along a vector that is tangent to the curvature of S-T. The photon is further reported to be a disk of electromagnetic waves perpendicular to the direction of its motion.
The observer in the starship's inertial frame of reference focuses his or her attention upon the photon's wave pattern in segments of 1000 meters. The observer plots the photon's wave motions tracked on the imaginary flat sheet that intersects the black hole's center of gravity and the center of the photon. In the starship, a history of the photon's wave pattern in two dimensions is printed for examination by the starship observer.
The printout shows the starship observer what was suspected. The curved line which was parallel to the photon's trajectory and intersected the top points of all of the crests of wave motion was longer than the parallel curved line which intersected the lowest points of the troughs. The starship observer finds that the distance between the intersection points on the lower side are closer together than the distance between the equal number of points on the line that intersected the top points of the crests.
The starship observer concludes that the S-T curvature below the center of the photon was sharper than the S-T curvature above the center of the photon. So the sharper curvature of S-T below the photon had a relatively slower pace of time than the S-T curvature above the center of the photon. The reason the action of the troughs keeps up with the action of the crests, in spite of their difference in the pace of time, is that they have a shorter distance to execute their wave pattern.
In this hypothetical case the sharp curvature of S-T altered the shape of the photon. The question is, does this happen to all fundamental particles when they are viewed from a distant observer?
I am also interested in finding out if what I have just written is valid in GR. If it is not valid, I wouldn't mind hearing what modern or old GR has against this scenario.