Acceleration with four particles

. . . . . . . . . . . . . . Vertical speed of red particles =
Speed of red particles =
Speed of blue particles =
Vertical light clock's time =
Horizontal light clock's time =
Length contraction ratio =
Time contraction ratio =

This simulation shows how information travels between four bonded particles during their acceleration. For slow motion, hold the "Enter" key down after having hit the "One Step" button. The trace left by the yellow vertical photon shows the direction where it is programmed to move at c. For more details, right click on the screen an select "Source code".

Information is not instantaneous, and if we move an atom towards another atom while they are both part of the same molecule, it takes a while before the information from that move reaches the other atom. During that time, we can move it, but it resists to do so since the information it receives from the second atom has not changed yet. It will change only when that second atom will have moved and when the information from that move will have reached the first one. This is what happens when we hit the start button: we begin pushing on the red particles at a certain strength, and they move before the blue ones are informed that they did. They make a step to the right at a certain speed, then they wait until the blue particles have made a step too before increasing the speed of their own step. I suggest that it is during that time that they offer resistance: the stronger we push, the faster their steps, but the stronger they resist.

In the simulation, the strength of the push is represented by the distance traveled by the red particles in a certain time. I chose .01 picometer in 1 zeptosecond for the acceleration to be noticeable, a speed that is added to them each time the horizontal photons hit them. As you can see, when we stop the acceleration, the system goes on moving, and it does not move because the particles carry a mass, but because the light that they exchange tells them that they are at the right distance from one another at any time. When we stop the acceleration, the speed of the particles gets constant, and no relative energy is imprinted anymore on the light that they exchange even if they are still making some steps to move with regard to one another, which means that those steps are perfectly synchronized. For them, it's as if they were not moving, while for us, they are still crossing the screen at high speed. If we erased the red particles from the system at any moment, the blue particles would nevertheless go on moving, not because they carry a mass either, but because they carry components which are also exchanging light, a light that also tells them that they are not moving with regard to one another even if they are still moving on the screen.

During the acceleration, the speed of the red particles increases each time the photons hit them, but during the time the photons are away, they keep on moving even if they are not at the right distance from the blue ones. They do so only because we are still pushing them, otherwise if we stopped pushing and the blue particles did not yet have the time to get away, the red ones would immediately get back where they were. The red particles are constantly moving towards the blue ones during the time we push them, and as the length contraction ratio display shows, since it takes time for the blue ones to acquire the same speed, the distance between them contracts. As the time contraction display shows though, light takes less and less time to make a roundtrip between the blue and the red particles, so contrary to Relativity, at that contraction rate, time is contracted instead of being dilated. Nevertheless, as we can see, it is still possible to contract the vertical distance between the particles at a rate which permits the two yellow photons to hit the red particle at the same time, which means that, whatever the horizontal contraction rate caused by acceleration, there is always a corresponding vertical one that will keep the two photons on sync. This observation is sufficient to explain the null result of the Michelson-Morley experiment.

As we can see, if we let the simulation run for a while, the horizontal contraction gets more important than the vertical one. One of the reasons is that I didn't account for the longer distance traveled by the horizontal photon due to the vertical contraction. That photon should make a zigzag like the vertical one, and if it did, it would take more time to do its roundtrip and the horizontal contraction rate would get down a bit. The way the vertical contraction is programmed also affects its contraction rate since the vertical photon always hits the red particle before the vertical one, so that the horizontal contraction always happens before the vertical one. I might reduce that delay with more precise steps, but it would slow down the simulation a lot. These improvements wouldn't change the way time and lengths contract in this simulation though, so I'll leave everything like that for the moment.

I tried to find an equation to control that vertical contraction, but it didn't work, so instead, I tried to move the red particles towards one another each time the horizontal photon would hit the red particle before the vertical one, and to move them until that red particle would hit the vertical photon, and it worked. In reality, that's what the atoms would have to do, because they cannot anticipate their position with regard to other atoms, so they have to move after the fact, and even if they are a lot more precise than a computer, they are not absolutely precise, so they must also lose some time in the process. That time gap between detection and reaction was producing a drift in the timing between the horizontal clock and the vertical clock until I found a way to control it. I programmed the simulation to continue accelerating the red particles vertically even after the acceleration was off, and I realized that they were moving slightly up or down depending on which photon preceded the other, the horizontal one or the vertical one, but since it didn't seem to change the mean distance between them with time, I kept it, and we can observe the phenomenon.

Considering that the limited speed of the information would cause the same time/length contraction between the components of those atoms, there could be no way to measure it from one scale to the other, but I suspect such a scale effect to be producing gravitation, so I will go on looking for it. To account for the contraction at a smaller scale, the precision of the simulation should increase with time, in such a way that from the atoms' components' viewpoint, the distance between the atoms would seem to stay the same. If we run the present simulation until the end, the speed of the particles' steps reach the light ones and the system dismantles, but if the distance between the particles' components was also contracting, all those steps would become more precise with speed, and there would be no such end to the simulation: for an observer traveling with the accelerated system, the acceleration would stay the same, and the distances would not change.

My discussion with David Cooper on that simulation is
here , and if you have any comment or any idea about it, don't hesitate to participate.

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