Dual slit interferences with a rotor-router model

The rotor-router model is a unique and innovative approach to understanding quantum mechanics and the behavior of particles in a given space. Through the use of a simple and intuitive algorithm, this model allows us to simulate and observe the phenomena of interference, such as those seen in the Young double-slit experiment.

One key aspect of this model is the idea that the spin/momentum of particles is not a property of the particle itself, but rather a property of the space in which it exists. This challenges our traditional understanding of the nature of particles and their interactions with space, and suggests the possibility of a more complex fundamental structure.

In addition, the rotor-router model allows us to examine the role of discrete time and space in particle behavior, and to consider the possibility that quantum phenomena may emerge from the interactions between particles and their surrounding space.

Overall, the rotor-router model offers a unique and thought-provoking perspective on the fundamental nature of particles and the principles of quantum mechanics. It presents a promising direction for further research and exploration into the fundamental nature of the universe and its behavior.

I would like to present a discrete model I developed to simulate interference patterns similar to those observed in the Young double-slit experiment. The model is based on the non-random diffusion limited aggregation algorithm, also known as the "Propp machine" or "rotor-router algorithm." More information about this algorithm can be found at the following website: http://www.cs.uml.edu/~jpropp/rotor-router-model/.

I utilized the rotor-router model to simulate interferences similar to those observed in the Young double-slit experiment. Despite appearing random at first, this model has the ability to fill and progressively organize a given space. By applying it to the space of the Young double-slit experiment, I sought to determine whether the rotor-router space would become organized in a way that would produce interference effects.

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In order to better understand the physical principles underlying the rotor-router model and its ability to simulate interference patterns, it is important to review the underlying assumptions and principles of the model. These are described in detail on a separate page, which can be accessed by following the link Rotor Router with extensions . This page will focus on the application of the model to the simulation of the Young double-slit experiment and the resulting patterns observed.

In addition to the rotor-router model, we have also developed the RR Phy model, which expands on the rotor-router model to incorporate principles from physics. The RR Phy model offers a unique perspective on the nature of particles and the fundamental principles of quantum mechanics, and offers a promising avenue for further exploration and research. For more information on the RR Phy model, please see our separate page dedicated to this topic.RR and Quantum Physics?

The Young double-slit experiment is a classic example of quantum interference, in which a beam of particles is sent through two slits and creates an interference pattern on a detector screen behind the slits. This phenomenon demonstrates the wave-like nature of particles, as the interference pattern can only be explained by the particles exhibiting wave-like behavior.

The experiment was first performed by Thomas Young in 1801, using light as the particles. However, it has since been repeated using various types of particles, including electrons and atoms, with similar results. The Young double-slit experiment is often used to introduce the concept of wave-particle duality, in which particles can exhibit both wave-like and particle-like properties depending on the experimental setup.

Understanding the Young double-slit experiment and its implications for the nature of particles and their behavior is a fundamental concept in quantum mechanics, and continues to be a subject of study and research today.

In this experiment, I used the rotor router model to simulate the behavior of particles in the Young double-slit setup. I generated particles from a point source and placed reflective or absorbing walls in the space. The background space units were given a spin/momentum value, and the behavior of the particles was observed as they moved through the space. The results of this experiment are presented on the website in the form of graphical representations.

In this picture:

• The plane is limited by absorbing lines in black.

• The inner part of the square is initialized with an "up" value.

• A double-slit wall is then inserted in the middle, still using absorbing lines.

• The UDLR rotor router algorithm is launched with its center on the left side of the double-slit wall.

• The picture on the left shows the progression of the simulation after a few iterations of the algorithm.

• The picture on the right shows the progression after 120 million iterations of the algorithm.

It is interesting to note that the pattern that emerges is similar to the pattern observed in the actual Young double-slit experiment, where light waves create a pattern of alternating light and dark bands on a screen due to constructive and destructive interference. This suggests that the rotor-router model may have some validity in explaining the behavior of particles in certain situations.

( To reach this number of iteration in a reasonable time, the rotor router agent is modified to be run with multi threading in order to give a faster approximation)

What we observe is that each slit draw the same Moiré pattern as the rotor router creating two diffusion sources.

in the rotor-router model, the path of a chip is not only influenced by the properties of the chip itself, but also by the state of the space through which it is traveling. This is similar to how the path of a light wave in the Young double-slit experiment is influenced by the properties of the space through which it is passing. This provides an interesting perspective on the behavior of particles and the role of space in determining their path and properties.

A moiré pattern is a geometric pattern that occurs when two grids or patterns are overlaid on top of each other, creating an interference pattern. The rotor-router model exhibits similar patterns when the algorithm is run for a number of iterations. In the case of the Young double-slit experiment, the moiré patterns are produced around the slits as if they were the source of the chips. This is because each slit acts as a source of chips, and the rotor-router algorithm creates patterns based on the movement and interaction of the chips. The patterns that emerge in the simulation are similar to those observed in the actual Young double-slit experiment, suggesting that the rotor-router model may have some validity in explaining the behavior of particles in certain situations.

In the rotor-router model, the chip represents a particle that is moving through space. The space units, which have a spin/momentum value, act to deflect the chip in a certain direction based on their spin/momentum value. When the chip passes through a slit, it may encounter space units that are oriented in such a way that it is deflected back towards the slit, causing it to cross the slit multiple times. This is similar to the way in which a particle in the real world may be deflected by various forces as it moves through space.

In this second example we remove the absorbing walls around the square. We initialize the square with UP value and we use the rotor router with the extension of UDLR case3c.

In this last example we use the URDL version of the rotor router instead of the UDLR.

There are some inconsistencies in the patterns which are due to an shortcut in the implementation of the multi-tread rotor router.

In this experiment, we run the rotor router UDLR on the left part. we see that the double-slit act as to diffusion points where two Moire pattern appears and creates a combined shape.

In this case the wall on the right is configured to reflect a received chip to the right. It is interresting to observe the way it becomes organised on the right part.

The dual slit experiment using the rotor-router model has shown promising results in reproducing the interference patterns observed in the original Young double-slit experiment. This suggests that the rotor-router model may have a deeper understanding of the behavior of particles and their interactions with space, and may offer new insights into the fundamental principles of quantum mechanics. Further exploration and research into the rotor-router model could lead to new applications and a deeper understanding of the nature of the universe.

Some potential applications of the rotor-router model and its ability to simulate interference patterns similar to those observed in the Young double-slit experiment include:

1. Further exploration of the fundamental principles of quantum mechanics and the behavior of particles in a given space.

2. Development of new technologies based on the principles of quantum interference, such as quantum computers and secure communication systems.

3. Investigation of the role of discrete time and space in the behavior of particles, and the possibility that quantum phenomena may arise from the interactions of particles with their surrounding space.

4. The study of other physical phenomena that involve interference patterns, such as sound waves, water waves, and electromagnetic waves.

5. The design of new materials and structures with novel properties based on the principles of quantum interference.