Vision of traveling at the speed of light

This is what I talked about during the summer vacation. I handed in questions from the physics department.

Suppose a person is moving at a close speed of light. Then he looks back and asks what he sees?

For a long time, it cannot be solved. The only answer is:Colorful lightBut I don't know why.
Is it a magic horse?
In the end of the semester, I suddenly remembered it when I was studying for one day. I mentioned it to Zhang Zijun xiaopan.
As a result, the two abandoned the operating system and started to imagine the speed of light.
Finally, Zhang Zijun threw out a Doppler shift.
The result is more interesting than the colorful light.
The following formula shows the Doppler frequency shift under the Relativity Effect.

F_e is the fluctuation frequency of the source, f_o is the observed frequency, and V is the direction of the observer pointing to the source.
The subsequent discussion had a hypothesis that the given environment of the problem should be within the atmosphere.Energy is mainly concentrated in a limited frequency range..
Note that, although the relative velocity of the receiver and the light source does not affect the relative propagation speed of the light, it affects the frequency. That is to say, due to spectrum migration, electromagnetic waves that are invisible at a constant rate may be seen during actual motion! This is a key point. If you are moving forward at an approximate speed of light, even though a pile of photon occurs on the face, you are "receiving" the light, but in fact because of its infinite frequency, you can't really perceive it, so you are in front of the dark. At the same time, because the light from behind you tends to be zero in frequency, you will not be able to perceive it when you look back, so the rear is also dark.

Sunlight spectrum in the atmosphere

The figure shows that the frequency domain with energy is
320 ~ (Near UV )~ 397 ~ (Ziguang )~ 424 ~ (Blu-ray )~ 455 ~ (Indiguang )~ 492 ~ (Green )~ 575 ~ (Huang Guang )~ 585 ~ (Orange light )~ 647 ~ (Red Light )~ 723 ~ (Near infrared )~ 1820 nm
Waves above 1820nm are ignored because of low energy.
Next, we will analyze the relationship between the visual angle and visible light composition.
Let the observer take the velocity V and take an angle θ close to the wave source relative to the direction from the observer to the wave source (the time point is when the observer receives the light)
Then the formula for the Doppler frequency shift with θ added is

Ling

Then

The following table lists the critical situations of Frequency Shift

The light composition varies with the angle area.

The color in the slice is the combination of the various colors that can be perceived in the field of vision from this angle. Black indicates that the visible light is invisible.
The figure shows that when a person turns his head, he first sees the purple light, then adds the blue light, and then... the brightness of the light is gradually increasing, and the normal white light is displayed within a certain angle, and then the brightness gradually decreases ,... After seeing the last red light, I fell into darkness again.
(Note: In addition to the black and white areas, the color of light in each area is actually changing. The color added to each area is actually gradually added with the angle, and the energy is gradient)
And so on. In fact, this is not the truth.
Let's look back at how the formula for the Doppler shift under the theory of relativity was derived.
If a peak is set to reach the observer, the next peak is λ/CFE (where λ is the wavelength, Fe is the fluctuation frequency sent by the wave source, and C is the speed of light ). Since the peak movement speed is C and the close speed of the observer is V, the wave and the observer will meet at the following time:

Due to the Relativity Effect, speed slows down time, and a time extension factor is added.

Then

Therefore, the frequency after the frequency shift is

Add θ to consider the derivation

Therefore, the frequency after the frequency shift is

Therefore, the previous formula is incorrect. The error is that the V in Gamma is also replaced with VCOs θ, and the time delay of Gamma is purely caused by the speed and has nothing to do with θ. (Note: although the previous formula is incorrect, there is still no error in the idea of changing the frequency shift along with the angle and the addition and gradient of the color light, but the situation is more complicated)
Again, from the real formula, we found that V = C is a singularity, except for θ = 180 °, the frequency is 0, and the frequencies received in other places are infinite! In other words, when you are actually traveling at the speed of light on the earth, the surroundings are dark.
When V is not equal to C, we can make v = α C. Then we will discuss it based on the α value.
From the previous table, we can see that the two boundary values of K are 4.584 and 0.443.

Therefore

Then α 1 = 0.9091, α 2 = 0.6719
0 <α <0.6719, K Image
 

θ = 0 hour k <4.584, θ = 180 ° hour K> 0.443
Visible Light and hidden area at all angles

0.6719 <α <0.9091,
 

θ = 0 hour k <4.584, θ = 180 ° hour k <0.443
Therefore, there is only a dark area at the rear.

0.9091 <α <1 hour
 

θ = 0 hour K> 4.584, θ = 180 ° hour k <0.443
Therefore, there is a dark area before and after

The following describes how dark areas exist before and after a video.
In order to pursue a kind of symmetry (in fact, it is to look good), please ask the wolframalpha God to calculate the Alpha value that can make the range of the front and back Dark Areas equal
 

Alpha = 0.91745
The list has

The light composition varies with the angle area.

Again, the color in the slice represents the composition of the various colors of light that can be perceived in the field of view from this angle. Black indicates that the visible light is invisible, the figure shows that in this case, when people turn their heads, they first see the purple light, then add the blue light, and then... the brightness of the light is gradually increasing, and the normal white light is displayed within a certain angle, and then the brightness gradually decreases ,... After seeing the last red light, it fell into darkness again.
(Note: In addition to the black and white areas, the color of light in each area is actually changing. The color added to each area is actually gradually added with the angle, and the energy is gradient)

 

Thank you for drawing beetle.