34.2. SHADING FACTOR
In the figure above, the yellow object that is in motion moves in the direction of the arrow. On its way, there is an area that the blue object shades. The yellow object passes through this shaded area and moves on its way.
This seemingly simple event is not simple at all when it is thought with (c+v) (c-v) mathematics in mind and includes a lot of details and information.
Letís think with the help of a Doppler Triangle. We are dealing with a light signal that is sent from a light source when the yellow object is at point B.
The travel time of the signal will be tΔ=d1/c.
The yellow object covers d2= u. tΔ distance at u speed during tΔ time and gets into the shaded area.
Relative to the reference system of the source, there is the blue object on the path of the signal that comes on
d3 line towards the yellow object.
Letís remember that, relative to the reference system of the yellow object, the light signal comes to the yellow object on the red
d1 line. As a result of the movement of the yellow object, the red d1 line will go into the shading area.
While the yellow object is approaching point C, if the light signal passes the blue object, it will reach the yellow object. However, if it cannot pass the blue object, the light signal will be kept by the blue object. The blue object will prevent the light signal to reach the yellow object.
As a conclusion here, with the yellow object going into the shaded area, the blue object will have to get more light than necessary.
Since I am not sure what kind of a process this extra light that the blue object gets will be exposed to, I will not make a comment here. It can lead to Radiant Flux change for the blue object, it can lead to an increase in its thermal energy, or it may lead to another effect.
The fact is that there are many things that we need to learn about Alice Law. The topic Shading Factor is quite a new topic for me that I noticed while writing the Radiant Flux Shift. Even more, I hesitated a lot whether to write about this topic or not. I can see that the topic Shading Factor includes a lot of details that need to be paid attention. But I didnít want to go into details here.
Shading Factor also gives a special opportunity to empirically verify Alice Law. At least it is very likely that there will be such an opportunity.
Letís go back to the topic of the spaceship. When the spaceship covers half the distance, it continues its travel under the new Radiant Flux which it is exposed to. The star that it aims to reach now glows a lot brighter. However, the motors of the spaceship break down unexpectedly. On its path, there is a rescue and maintenance station, which is not in motion relative to the star, one light-year away from the star that it is traveling to. The spaceship decreases its speed and approaches the station to get fixed. Does the decrease in the speed of the spaceship lead to a change in the radiant flux for the spaceship? Yes, it does, but this change will start from at least a light-year away. It will take one light-year for the change to reach them. Throughout all this time, the spaceship will keep receiving this intensified energy that comes from the star. Even if the chief pilot stops the spaceship or change its direction or try to move away from the star, this effect will continue because those lights get into the field of the spaceship and come to the spaceship that is at the center of the field like guided rockets locked on their targets.
The spaceship lands on the airdrome of the maintenance station. The sun shields of the maintenance station now protect the spaceship from the energetic lights coming from the star. But what about the situation the passengers are in? The passengers started their journeys sleeping in the safe areas of the spaceship. When it is understood that the fix will take a long time, the passengers are woken up and transferred to the accommodation places of the maintenance station. The cafeteria of the maintenance station is designed so beautifully. All the glamour of the universe can be seen from the glass dome over it. One of the passengers get a coffee and turns his eyes towards the star that they going to. How will the passenger see the star? Does the radiant flux shift still continue for this passenger?
It is quite an interesting scenario. There is nothing more natural than Alice Law having paradoxes peculiar to itself. Now we have come across one of these; to be honest, it came to my mind while I was writing the book. I donít know the last part of the story and of course, I am curious. If you ask me to guess, I would make my bet on that the change in the radiant flux will continue for that passenger for the next year.