Rotor-router and Quantum Physics?

Welcome to the RR Phy Model website, where we explore the possibility of using the rotor-router algorithm as a model for quantization in physics.

The rotor-router algorithm is a simple, yet fascinating mathematical construct that generates complex patterns and behavior. It has been studied and extended in various ways, and has found applications in a range of fields, including computer science and statistical physics.

In this website, we propose a physical model theory based on the rotor-router algorithm, and explore its potential as a model for quantization. We make a number of assumptions about the properties of chips in the rotor-router algorithm and their behavior in a 4D space-time, and propose a hypothesis about the synchronous hopping of chips between space units. Based on these assumptions and hypotheses, we explore the implications of the model and its potential predictions.

It is important to note that this model is highly speculative and should be considered as a thought experiment rather than a rigorous physical theory. However, we believe that it has the potential to shed light on the behavior of energy and particles, and to offer new insights into the nature of quantization.

We invite you to browse this website and learn more about the RR Phy Model, and to join us in this exciting exploration of the intersection between mathematics and physics.

Introduction to the RR phy model

Is there a link between the quantum physical models and the rotor-router model? which could be the predictions of such a model?

The roots of this work comes from some observations of the rotor-router algorithm :

1. Chips in the rotor-router algorithm: In the rotor-router algorithm, a chip is a small piece of information that is moved through a grid of cells, following a simple set of rules. Chips can be thought of as units of energy or matter, and their movement through the grid can be used to simulate various processes or phenomena.

2. 4D space-time: In the proposed RR Phy Model, it is assumed that the rotor-router algorithm operates in a 4D space-time, with three dimensions of space and one dimension of time. This space-time is discrete, meaning that it is made up of discrete units rather than continuous ones. The nature and properties of this space-time are not fully specified in the model, but it is assumed to be governed by the rules of the rotor-router algorithm.

3. Space units: In the RR Phy Model, space units are discrete volumes of space that acquire the rotor-router property when a chip arrives at them. These space units can be thought of as fundamental building blocks of the universe, with the rotor-router property representing some aspect of their behavior or structure. It is suggested that the rotation of space units may have important implications for the behavior of energy and particles in the model.

4. Synchronous hopping: In the RR Phy Model, it is proposed that all chips hop between space units synchronously, meaning that they all make these hops at the same time. This is a temporary hypothesis that is used to explore the implications of the model, and it is not clear whether this hypothesis is physically realistic or not. It is suggested that the synchronous hopping of chips may have interesting consequences for the rotation of space units and the behavior of energy and particles in the model.

5. Additionally, in a closed system, the positions of the arrows in the grid cells will stabilize progressively. By assigning a color to each position, patterns that resemble an electromagnetic field can be observed. These patterns may provide insight into the behavior of energy and particles in the model.

There are no limitations on the number of chips that can occupy a single discrete volume, which is the smallest unit of volume in a discrete space. This volume has a fixed size, and any number of chips can be contained within it.

So can we build a physical model theory using the rotor router algorithm and is very simple set of properties ?

One interesting observation that can be made in the RR Phy Model is that if the number of chips present in a given space unit is a multiple of the dimension of the discrete space unit, the direction of the space unit will remain unchanged when the chips exit. This is because the rotor has performed a full rotation and has returned to its original position. This means that certain areas of the space may retain chips indefinitely, as they will be trapped between two adjacent space units. It is important to note that this effect only occurs when the number of chips is a multiple of the dimension of the space unit. If this is not the case, the direction of the space unit will change as the chips exit.

To further illustrate this concept, let's consider a 2-dimensional example. If there are 4 chips present in a space unit, they will cause the rotor to rotate 4 times as they exit, leaving the system unchanged. This suggests that there may be an infinite number of space unit configurations that can retain chips in a closed loop, effectively trapping the energy in a specific location and forming "mass" particles. In this model, mass is defined as the capture of energy in a loop system due to the properties of the space unit described above.

What happens when an additional energy unit (chip) arrives at a space unit adjacent to a stable system in the RR Phy Model?

When an additional energy unit (chip) arrives at a space unit adjacent to a stable system in the RR Phy Model, it is likely to disrupt the stability of the system. Depending on the specific configuration of the stable system, the arrival of the chip may cause the direction of the adjacent space unit to change, potentially leading to a chain reaction that affects the stability of the entire system. It is also possible that the chip will be absorbed into the stable system and become trapped in the closed loop, further increasing the mass of the system. Ultimately, the exact outcome will depend on the specific characteristics of the stable system and the chip that has arrived.

In a 2D setup with 4 chips looping between two space units, the arrival of an additional chip will cause the stable bundle of energy units to be displaced to a different location. This demonstrates that the stabilized bundle of energy units can be influenced and moved by interactions with other energy units from outside the system. This adds an element of dynamics and change to the otherwise stable system.

Using the single rule of the rotor-router algorithm, it is possible to create arbitrarily complex, intricately looped systems that may exhibit macroscopic effects of attractive or repulsive forces. These forces may arise due to the interactions and movements of the stable bundles of energy units within the system.

Here is an example of how the RR Phy Model could be used to explain the behavior of attractive and repulsive forces:

Imagine that we have two stable systems, each containing a large number of energy units in the form of chips. These systems are positioned a certain distance apart from each other, and are initially unaffected by the presence of the other.

Now, let's say that we introduce an additional energy unit into one of the stable systems. This energy unit may disrupt the stability of the system and cause some of the energy units within it to be displaced. These displaced energy units may then come into contact with the second stable system, potentially causing a reaction or movement within that system as well.

Depending on the specific configurations of the two stable systems and the number and arrangement of the energy units within them, the result of this interaction could be either an attractive force, drawing the two systems closer together, or a repulsive force, pushing them further apart.

This is just one example of how the RR Phy Model could be used to explain the behavior of attractive and repulsive forces, but there are many other possibilities as well. The key is to consider the interactions and movements of the energy units within the system and how they may influence one another.

In the RR Phy Model, the simplest pack of intricated loops systems that could represent a photon could be a single loop of energy units. The loop could be stable, but when perturbed by another energy unit, it could be destabilized and move to another location, much like how a photon can be absorbed and re-emitted. A graviton could potentially be represented by a more complex system of loops, possibly involving multiple interconnected loops or a larger number of energy units in a single loop. A quark could be represented by an even more complex system, possibly involving many interconnected loops or a very large number of energy units. The quantum fluctuation of empty space could be interpreted as the movement and interaction of energy units within the space, potentially causing the emission and de-stabilization of loop systems.

Overall, the RR Phy Model suggests that the behavior of these fundamental particles and phenomena could be explained through the movement and interaction of discrete energy units within a discrete space-time.

Is there a missing parameter that is necessary to accurately model fundamental particles and phenomena, such as photons, gravitons, quarks, and quantum fluctuations, using the simple properties of unit space, unit volume, and discrete time in the RR Phy Model?

It is difficult to accurately answer this question without more information about the specific predictions and behaviors of the RR Phy Model and how they compare to those of known fundamental particles and phenomena in the real world. It is possible that the RR Phy Model may require additional parameters or modifications in order to accurately represent these phenomena, or it may not be suitable as a model for these phenomena at all. It would be necessary to carefully analyze and compare the predictions and behaviors of the RR Phy Model to those of known physical phenomena in order to determine if the model is capable of accurately representing them.

The observation that the growth rate of the number of chip moves in the rotor-router algorithm in 3 dimensions appears to be related to the moment of inertia of a sphere is an interesting one. It is possible that this relationship could be explained by the properties of the algorithm and the way that it fills space. It would be necessary to carefully examine the algorithm and the conditions under which it was run in order to gain a deeper understanding of this relationship.

It is not immediately clear how the number of chip moves in the rotor-router algorithm could be related to the formula for the inertial momentum of a sphere. Inertial momentum, also known as rotational inertia, is a measure of an object's resistance to change in its rotational velocity. It is calculated based on the distribution of mass within an object and is used to predict how an object will behave when subjected to a rotational force.

On the other hand, the rotor-router algorithm is a process for traversing a grid of cells in a specific order, with each cell being visited by a "chip" that follows a set of rules for movement.

The formula for the inertial momentum of a sphere with uniform density is given by:

I = (2/5) * mass * radius^2

The volume of the sphere is using the formula: V = (4/3) * Pi * radius^3

The formula for the inertial momentum of a sphere with uniform density is given by:

I = (2/5) * mass * radius^2

The volume of the sphere is using the formula: V = (4/3) * Pi * radius^3 . If you take mass= V then you obtain : 3/2* 4/5 * Pi * radius^5

As it is the radius which is growing over time in the rotor router algorithm, we can compare the growth rate of the radius with the formula for the inertial momentum of a sphere.

The growth rate of the radius in the rotor router algorithm is observed to be 4/5 * Pi * radius^5.

If we compare this to the formula for the inertial momentum of a sphere, we see that they are quite similar, with the growth rate in the rotor router algorithm being equal to the inertial momentum of a sphere with uniform density and mass equal to the volume of the sphere.

This suggests that the rotor router algorithm may be able to model the behavior of a sphere in some sense, although more work would need to be done to fully understand the relationship between the two.

It is certainly possible that in the context of the RR Phy Model, the formation of a black hole-like object could be simulated by having a system of energy unit loops that continually absorbs other energy unit bundles and grows in size as a result. However, it is important to note that the RR Phy Model is a highly speculative and theoretical model and it is not clear how well it would match up with the known properties of black holes in our own universe. It is always important to be cautious when making comparisons between theoretical models and real-world phenomena, and to carefully consider the limitations and assumptions of the model in question.

It is difficult to propose a sample setup for a black hole effect in the rotor router algorithm, as the algorithm is not designed to simulate the behavior of black holes. Black holes are extremely massive objects that are formed when a star collapses at the end of its life. They have a strong gravitational pull that can trap even light within their boundaries, hence the name "black hole." In contrast, the rotor router algorithm is a simple simulation of chip movement in a discrete space, and does not have the ability to model the complex physics of black holes.

Here is a sample setup of chips that can illustrate the black hole effect:

Imagine a loop of 5 chips, with the chips arranged in a circle. Now, let's say that a new chip arrives from the top. If this chip lands on an empty space unit next to the loop, it will be absorbed by the loop and become trapped. This process can continue indefinitely, with the loop growing in size as it absorbs more and more chips. Eventually, the loop may become so large that it consumes all the chips in the system, forming a "black hole" of trapped energy.

This is just a simple example, and in reality the behavior of a black hole in the RR Phy Model may be much more complex. However, it illustrates the basic idea of how the absorption of energy units can lead to the formation of a black hole.

To create a black hole configuration with the rotor router algorithm, you can set up a loop of chips with a specific arrangement on the grid. The loop should be large enough to be able to trap incoming chips, but not too large so that it is able to absorb them effectively.

To set up the loop, you can place the chips in a circular pattern on the grid, with each chip connected to the next by an arrow pointing in the direction of the next chip. You can then set up an incoming chip by placing it on an adjacent grid space and pointing the arrow towards the center of the loop.

Under the rules of the rotor router algorithm, the incoming chip will follow the arrows on the grid and eventually enter the loop. Once it enters the loop, it will continue to follow the arrows and eventually become trapped, unable to escape. This is because the chip's movement is determined by the direction of the arrow at each grid space, and the arrows within the loop are all pointing inwards towards the center, effectively trapping the chip.

In the rotor-router algorithm, a chip follows a path through the grid by moving in the direction indicated by the arrow at each grid cell it encounters. If a stable loop of chip bundles is formed such that the path of a chip through the loop is always in the same direction, then it is possible for the stable loop to release one or more energy chips by changing the direction of the arrows in the loop. For example, if the direction of the arrows in the loop is changed such that the path of the chip is reversed, then the chip will leave the loop in the opposite direction. This could be accomplished by introducing additional chips into the loop at specific points in order to change the direction of the arrows.

Spontaneous emission is the process in which an excited atom or other system spontaneously emits a photon (particle of light). In the RR Phy model, the chip bundles could potentially represent excited atoms or other systems, and the release of energy chips could represent the spontaneous emission of photons. Therefore, it is possible that a setup of stable loop of chip bundles in the RR Phy model could move and release one or more energy chips after some periods, potentially simulating the process of spontaneous emission.

According to the RR Phy model, the energy unit is the smallest quantum unit of energy. It is the building block that makes up all other particles. It is not yet clear how this energy unit relates to other known particles in the physical world, as the model is still highly speculative and has not been extensively tested or validated. However, it is an interesting area of exploration and further research may help to shed light on the fundamental nature of energy and matter.

The space unit is the smallest discrete volume in which the energy unit stays during a time unit. It is represented in the rotor-router algorithm as a cell in a grid and is equipped with the rotor-routing property, meaning that when an energy unit (chip) exits the space unit, it rotates the arrow of that space unit. The space unit also has a dimension, which is the number of possible directions that the arrow can point in. In the rotor-router algorithm, the dimension is usually 2 or 3, corresponding to the number of dimensions in the grid. The space units are the building blocks of the discrete space in which the energy units move and interact in the RR Phy model.

The space unit in the RR Phy model is the smallest discrete volume in which an energy unit can exist. It is equipped with a single property, called "direction," which follows the rotor router algorithm. This property can be thought of as a momentum in the third dimension. When an energy unit exits a space unit, it takes the direction of the arrow, rotating the arrow of the space unit according to the number of dimensions in a fixed order. For example, in a two-dimensional system, the directions would be UP, DOWN, LEFT, RIGHT, BOTTOM, UP. This additional property of the space unit can be thought of as adding an additional dimension to the system.

The rotor-router algorithm in 3 dimensions appears to generate a sphere-like structure with a growth rate of 4/5Pir^5. This growth rate is similar to the volume of a 5-sphere (8/15Pi^2r^5), with a constant factor of 2/3*Pi. Additionally, this growth rate is similar to the moment of inertia of a solid sphere with uniform density. These observations suggest that the rotor-router algorithm may be able to mimic some aspects of physical systems, particularly in terms of generating structures with certain geometric properties. However, it is important to note that this is purely speculative and has not been rigorously proven or tested.

The arrow, or spin property, of the space unit is an intrinsic characteristic of the space unit that is influenced by the presence of energy units within it. This spin can be thought of as a momentum in three dimensions, and it is changed based on the number of energy units present in the space unit over a particular time period. This spin property is an important aspect of the rotor-router model, as it helps to understand the behavior and interactions of energy units within the model's discrete space-time.

In the rotor-router algorithm, the arrow represents the direction in which the chip is moved, while the spin/momentum represents an additional property of the space unit that the chip is moving through. By differentiating between the arrow and spin/momentum, you are able to model different physical phenomena, such as the interactions between particles and their surrounding space. The arrow determines the chip's motion, while the spin/momentum allows the chip to interact with other particles and affect the space in which it is moving. In addition, it allows for modeling more complex behavior of the particle, such as diffraction, interference, or even interactions between several type of particles.

grid_size = 1000

arrow_grid = np.zeros((grid_size, grid_size))

spin_grid = np.random.randint(0, 4, size=(grid_size, grid_size)) # initialize with random spin values

arrow_grid[500, 500] = 0 # set initial arrow direction at center of grid

pos = [500, 500] # set initial position of chip at center of grid

def move_chip(pos, arrow_grid, spin_grid):

# Get the current direction of the arrow at the current position

arrow_direction = arrow_grid[pos[0], pos[1]]

# Get the current spin value at the current position

spin = spin_grid[pos[0], pos[1]]

# Update the position of the chip based on the arrow direction

if arrow_direction == 0:

pos[0] -= 1 # move up

elif arrow_direction == 1:

pos[1] += 1 # move right

elif arrow_direction == 2:

pos[0] += 1 # move down

elif arrow_direction == 3:

pos[1] -= 1 # move left

# Update the arrow direction and spin value at the current position

arrow_grid[pos[0], pos[1]] = (arrow_direction + 1) % 4

spin_grid[pos[0], pos[1]] = (spin + 1) % 4

return pos, arrow_grid, spin_grid

What is the time unit in the RR Phy model?

The time unit in the RR Phy model is the smallest discrete unit of time in which the energy unit can move between space units.

What is the link between Time energy and moment and mouvement in the RR Phy model?

The energy contained in a space unit, represented by e, is equal to the product of the moment of the spin and the movement within that unit, multiplied by time. This is similar to the concept of work, which is equal to the force applied on an object multiplied by the distance over which it is applied, and is also represented by the product of moment and movement. In the RR Phy model, the energy contained in a space unit is equal to the work done on the spin within that unit over a period of time.

In the RR Phy model, time is represented by discrete time units. Energy is represented by the energy units, or chips, that move through the space units. Momentum is represented by the movement of the chips as they rotate the arrow, or spin, of the space units.

In this model, the total amount of energy, momentum, and time in a given space unit is always conserved. This means that if a chip enters a space unit, the amount of energy in that space unit will increase by the energy of the chip. The momentum of the chip will also be transferred to the space unit, causing the spin of the space unit to change. The total amount of time that the chip stays in the space unit will also be added to the time in the space unit.

Overall, the RR Phy model suggests that energy, momentum, and time are interconnected and can be represented using the rotor-router algorithm.

In the RR Phy model, the link between time, energy, momentum, and movement is described by the equation "e + momentum movement = t". This equation states that the quantum of energy increases when the quantum of time increases, as long as there is no movement. If there is no increase in energy, then the energy is transferred into momentum and movement (spin of the RR). In other words, the space units are able to store energy in the form of momentum and movement, and this stored energy can be released at a later time. This concept is similar to the idea of kinetic energy, which is the energy of an object due to its movement or motion. In the RR Phy model, the movement or motion is represented by the spin of the space units.

What is the photon in the RR Phy model?

The photon could be represented as a stable loop of energy units in the RR Phy model. This loop is able to absorb and emit energy units, but the total number of units within the loop remains constant. The absorption and emission of energy units can be thought of as the photon interacting with other particles or fields. The direction of the photon's movement would be determined by the direction of the arrow at the space unit it is located in, as well as the directions of the arrows at the adjacent space units.

In the RR Phy model, the energy of the photon is defined as the product of the dimension of the space unit and a positive non-zero integer. This means that the energy of the photon is equal to the number of energy units that make up the photon, multiplied by the number of dimensions of the space unit. For example, in a 3-dimensional space, the energy of a photon would be equal to 3 times the number of energy units that make up the photon.

This property implies that when the space units crossed by the photon are not all in the same direction, the photon will not move in a straight line but instead will follow the local curve of the space implied by the space unit property. In other words, the path of the photon will be influenced by the direction of the arrows in the space units it passes through. This could potentially lead to phenomena such as diffraction or interference, similar to what is observed in wave-particle duality in quantum physics. However, it is important to note that this is a highly speculative and theoretical idea and has not been thoroughly tested or proven.

For instance, with this model, we could conjecture that in the Young experiment, a single photon emited can be seen as a bundle of energy chips which sometimes pass multiple times in the two holes before reaching the screen :) we could also see that this is the property (orientation) of all the space units that influences the path of such object

It is interesting to consider the possibility that the behavior of photons in the double-slit experiment and other quantum phenomena may be influenced by the properties of the discrete space units that they pass through. However, it is important to note that this is purely speculative and would need to be supported by further evidence and research. It is also worth noting that the behavior of photons in the double-slit experiment has been explained by other theories, such as wave-particle duality, which have been well-supported by experimental evidence. It is always important to consider multiple explanations for phenomena and to continue to test and refine our understanding of the world.

In the rotor router model, if you have a source emitting chips (energy units) and two slits in a grid with rotor router properties, the two slits act as secondary sources. This means that when a chip passes through one of the slits, it is treated as if it were emitted from that slit and can continue to move through the grid. This can lead to the chip crossing the slits multiple times before reaching the screen. The path taken by the chip is influenced by the orientation (spin/momentum) of the space units it passes through.

This is an interesting observation! If we consider the path of a photon as a bundle of energy chips in the RR Phy model, then it is possible that the path of the photon could be influenced by the orientation of the space units it passes through. In the Young experiment, it is possible that a single photon emitted from the source could pass through both slits multiple times before reaching the screen, depending on the orientation of the space units at the slits. This could potentially explain the interference pattern observed in the experiment. However, it is important to note that this is a highly speculative and theoretical idea and further investigation would be needed to determine if this could be a valid explanation for the behavior of photons in the Young experiment.

The RR quantum physical model predicts 6 types of particules, each identified by a different value of n, the number of energy chips present in a given space unit. The six types of particules are:

6n type (identity)

6n+1 type

6n+2 type

6n+3 type

6n+4 type

6n+5 type

It remains to assign a name to each type of particule. One possible approach is to consider that the dimension of the space unit is not limited to 6, and to generalize the model to higher dimensions. In this case, the 6n+5 particule, which operates a full rotation in the reverse direction, could be a good candidate for gravity. The 6n+1, 6n+2, 6n+3, and 6n+4 particules, which operate partial rotations, may be involved in other physical phenomena, such as the emission of photons. The 6n type, which does not rotate the arrow at all, may represent a different type of particule entirely.

The convention for the unitary direction moves (spin) in the RR model is up, down, left, right, bottom, front. Alternatively, one could use different labels, such as up, down, strange, charmed, top, bottom.

It is interesting to consider the possibility of extending the RR quantum physical model to include more than 6 types of particles. By assigning specific properties to each of these particles, it may be possible to explain various physical phenomena such as gravity, electromagnetism, and the strong and weak nuclear forces. However, it is important to note that this is purely speculative and further research and experimentation would be needed to determine the validity of this approach. It is also worth considering the limitations of the rotor-router model and how it may not be sufficient to fully explain all aspects of the physical world.

Whah is a massive particule at rest in the RR Phy model?

If we look the model in 3 dimension, we can have a stable loop with 2 space unit containing a multiple of 6 energy chips.

stable single loop object energy:;

E=n*e where a is the single discrete energy unit integer.

The RR Phy model proposes that a massive particule at rest is a stable configuration of energy unit bundles in space units, with the bundles being a multiple of the dimension of the space units. The energy of the stable particule can be calculated as the product of the number of energy units in the stable configuration and the energy of a single discrete energy unit. The specific configuration of the stable particule will depend on the number of space units and the direction of the energy unit bundles within those space units.

In the RR Phy model, a massive particule at rest can be represented by a stable loop of energy units. The number of energy units in the loop, and the number of space units involved in the loop, can both affect the properties of the particule. For example, a stable loop with 2 space units containing a multiple of 6 energy units can be considered a different type of particule than a stable loop with 4 space units containing a multiple of 6 energy units. Similarly, a stable loop with 8 space units containing a multiple of 6 energy units can be considered a different type of particule than a stable loop with 2 or 4 space units. The energy of the particule is determined by the number of energy units present in the loop, with the formula E = n * e, where n is the number of energy units and e is the discrete energy unit.

the smallest stable single loop object composed of 6 energy units and 2 space units oscilate at the discrete smallest frequency of 1/2 of the "synchronous" chip update discrete period.

In the RR Phy model, the smallest stable single loop object composed of 6 energy units and 2 space units oscillates at a frequency of 1/2 of the "synchronous" chip update discrete period. This means that the energy units within the loop are able to change positions within the loop in a periodic manner, with a period of 1/2 of the synchronous chip update discrete period. This oscillation can be thought of as a type of vibration or oscillation of the energy units within the loop. The frequency of this oscillation is determined by the number of energy units present in the loop and the size of the space units. It is possible that this oscillation could have some relation to the concept of spin in traditional quantum physics.

How is the energy chip inserted / extracted in the system ?

it would be important to include a source and sink for the energy chips in the model of the universe. Without a source and sink, it would not be possible to maintain a consistent number of energy chips in the system, which could lead to unrealistic behavior. In addition, the properties of the source and sink, such as how they add or remove energy chips, would also be important factors to consider in the model. (Rotor-router symetries with an absorbing pixel )

It seems that I have discovered a symmetry in the rotor-router algorithm whereby the patterns that appear around the source of energy chips are similar to those that appear around the sink, or location where the chips exit the system. This symmetry may be related to the concept of wave-particle duality, in which particles exhibit both wave-like and particle-like properties depending on the experimental setup. It is also possible that this symmetry arises due to the underlying mathematical structure of the algorithm, which may exhibit certain symmetries or self-similarities. Further exploration and analysis of this symmetry could potentially provide insight into the fundamental nature of matter and energy.

In the context of the rotor-router algorithm, a chip source could be defined as a location in the discrete space where new chips are continuously generated and injected into the system. A chip sink, on the other hand, could be defined as a location where chips are continuously removed from the system.

One option for a chip source in the RR Phy model could be to have all new space units generate a single energy chip as they are created. This could be seen as a way of continuously injecting new energy into the system. Another option could be to have a dedicated chip source location where new chips are generated and injected into the system at a certain rate.

As for chip sinks, one option could be to have certain space units or locations where chips are continuously removed from the system. This could represent the process of energy being "lost" or dissipated from the system. Alternatively, the chip sink could be at the edge of the system, where chips are removed once they reach the boundary.

In pure RR model all e chips are sourced from the initial location.

In such model the initial t0 is an infinite number of e chips located in the source point. See it as the infinite potential of Nothing. If we look the rotor router center in more details we observe some chips which passes in the center at least one time before ending in an empty un initialized location. This means that the energy source it self can move due to its own emissions of energy chips.

An alternate option is that the e chips emerge in all locations.

With this RR model the quantum fluctuations leading to particules appearing or disappearing could be seen as the superposition of combinations of the 6 types of particules defined in this page.

In the RR Phy model, quantum fluctuations can be understood as the result of the superposition of different combinations of the six types of particles defined in this model. These fluctuations can lead to the appearance or disappearance of particles, as the superposition of different particle types can result in the creation or destruction of particles. This idea is similar to the concept of quantum fluctuations in traditional quantum mechanics, where quantum fluctuations can lead to the temporary appearance and disappearance of particles due to the uncertainty principle.

Sure. Let's say that we have a stable configuration of energy chips in a certain region of our RR universe. This configuration is made up of a combination of different types of particules, such as 6n, 6n+1, and 6n+3. Now, let's say that we introduce a new energy chip into this region. This new energy chip could potentially disturb the stability of the existing configuration, causing some of the particules to disappear or transform into different types of particules. For example, a 6n particule could disappear and be replaced by a 6n+4 particule, or a 6n+1 particule could transform into a 6n+5 particule. In this way, the RR model allows for the possibility of quantum fluctuations, where particules can appear or disappear due to changes in the energy chip configuration.

conclusion

The rotor router algorithm seems an interesting model for studying quantum phenomena. Its ability to exhibit wave-particle duality and the emergence of inner patterns resembling particles in 3D make it a promising candidate for further exploration. The concept of space units with a "direction" property adds an additional dimension to the system and allows for the observation of complex, intricated loop systems that may exhibit properties of photons, gravitons, and quarks. The potential for modeling objects such as black holes and quantum fluctuations adds to the potential usefulness of this model. Further research and experimentation will be necessary to fully understand the capabilities and limitations of the rotor router algorithm in the study of quantum physics.

Content from Cedric Vandenweghe improved and discussed with ChatGPT dec15 OpenAI !

"open eyes!" - Thanks