Chapter 521: The Five Realms of the Game of Life Create the World
Conway's Game of Life, an epoch-making game invented by legendary mathematician Conway in 1970, is also known as cellular automaton.
Many complex structures and processes in nature can be simulated through a large number of grid dynamics models in which time, space, and states are discrete, and spatial interactions and temporal causal relationships are localized.
For example, forest fires, traffic flow, metal corrosion, virus infection, crowd evacuation... are powerful methods to study self-organized criticality.
So until Mr. Conway passed away due to the COVID-19 epidemic fifty years after the invention, mathematicians and scientists were still diligently obsessed with it.
In 1997, a Harvard professor used a 29-page paper to prove that the ideal increase in the number of living cells is n^2, and the optimal density of living cells in the stable part of the grid is 1/2...
In 2020, the same month that the old man passed away, a computer scientist discovered the smallest known extraordinary structure in the game of life, which is 183 cells...
Having introduced so much, the rules of the game are actually extremely simple, as simple as Go——
In an infinite two-dimensional grid, each square can place a life cell, and each cell has only two states: life or death.
Black represents death and white represents life. Or vice versa.
When the game starts, all squares are randomly set.
From then on, the cells will iterate once in each round, and life and death are completely determined by the placement of the opening. To be precise, it is only determined by the status of the eight adjacent grids——
When the current cell is alive and there are more than 3 living cells adjacent to the eight cells, the excessive number of cells will lead to resource constraints and cell death.
Cells survive and remain the same when there are 2 or 3 living cells nearby.
The cells survive, and when the number of viable cells is less than 2, they die because the population is scarce and the number is insufficient.
The cell dies, and when there are three surviving cells, the cell survives through reproduction iterations.
The definition of proximity, death, reproduction, population expansion and contraction are all parameters and can be changed.
This is where various critical models come from.
The above set is the most classic setting, with endless consequences, called chaos type.
Others include fixed value types, periodic types, complex types, etc.
In short, such simple rules can lead to an infinitely complex world!
Of course, Su Xingmou wants to open up the membrane of heaven and earth and create a world of his own. It is impossible to create a QR code...
Um, can't you?
Ye Han thought about it and found that there seemed to be no restrictions in this regard...
"I don't want two-dimensional ones! I want three-dimensional ones. I want to play in the mini world!" Su Xingmou shouted quickly, fearing that Ye Han would confirm it a step too late. She was well aware of the madness of scientists.
The three-dimensional mini world is very fun, but the two-dimensional one... is too flat, and the front and back are not good? And it is black and white, and the colors are too monotonous, right?
Let’s make it three-dimensional!
Naturally, the rules cannot be copied in two dimensions.
Ye Hanxian taught Su Xingmou how to distinguish the concept of proximity: the 6 squares front, back, left, right, up and down are facing, with a weighted value of 4; facing facing, and the 12 squares intersecting with the original square, are line adjacent, with a weighted value of 2; and the original square. If only the vertex angles intersect, it is a point adjacent, with a weighted value of 1.
In this way, birth, old age, illness and death are redefined according to the weighted value of the adjacent area.
Then according to Su Xingmou's request, the three primary colors were set, imitating the settings of quantum chromodynamics and taste dynamics, and iteratively dyed, so that the world can be colorful, not just simple black and white.
Finally, the new world does not have an endless two-dimensional chessboard or an endless three-dimensional map...
The so-called creation of the world is to refine and process the rules that exist in the mind, body and field, and then release them to the outside world to expand them to the extent that they can affect the outside world.
It is an upgraded version of the small mental world of practitioners in the middle and third realms.
This arduous task cannot be accomplished by Form Three practitioners, so it can only be left to the rules themselves.
Because Su Xingmou's level is not high enough and he is unable to cope with it...
This is why Ye Han uses the Game of Life as a blueprint, because this game has life and can achieve self-expansion.
Except for the initial chessboard, all areas of the chessboard that have not been included in Su Xingmou's cognition are set to empty, which can also be called the Schrödinger state.
Its state is determined by the observations of the discoverer (that is, the approaching grid).
Observation will consume the vitality of adjacent grids and incorporate new areas into the territory (exploitation).
The expansion will not be too fast, because it will be accompanied by sacrifices. But the price of sacrifice will also make the expansion step by step, solid and reliable, even if Su Xingmou does not end up personally.
At the same time, because this is a simple, self-consistent world.
There is no need to worry about the situation within the world at all. She only needs to pay more attention to the situation of the expansion boundary, be careful not to create bugs that cannot be corrected, and just take things steadily...
This transfers the pressure from the three-dimensional world to the two-dimensional contact surface.
Even if you are in the fifth realm, there is absolutely hope that you can hold on to it.
"I understand! Let me try!" Looking at Ye Han's operation on the black hole computer, Su Xingmou felt that it was really possible for him to do it, so he took the plate with great interest.
Like the God who created human beings, he randomly clicked on life cells one by one on the three-dimensional chessboard with row upon row of iterations.
There is no need to iterate with the smallest unit of time, Planck time, like in the real world, just set the minimum time within the acceptable range according to her own rhythm.
Of course, we can also create the special structures deduced by Ye Han: three-dimensional pulsars, three-dimensional gliders, three-dimensional breeders, spaceships... [If you are interested, you can study the Game of Life]
These special patterns on the chessboard look like a stable group of people in the new world.
If there is no external interference, it can be maintained for a long time.
If it collides with other groups, it may pass through without interfering with each other; it may collide and both parties will suffer losses and lose stability; there is also a very small probability that they may combine with each other and collide to form a form with a longer period and a more complex structure...
Although it seems simple to run, this iteration is actually quite complex, and the calculation required for the deduction is staggering!
If you don’t believe me, think about it, how big is the Go board?
In order to exhaust the astonishingly simple pixels of 19×19 and the two-dimensional changes of a mere 361 grids, how many talented brain cells have human beings died? How much computing power of the computer system has been consumed?
The chessboard of the game of life is not 19×19, it is inherently 19×19 and then 19 three-dimensional!
The iterative interaction of color and taste is added, and the complexity increases exponentially.
The chessboard is still expanding, and each time it expands, the complexity is not as unimaginable as the Tree function, but it cannot be completely simulated by stacking computing power alone!
Not even a black hole computer can do that!
We can only do some basic deductions within the range that our computing power can handle...
This is also the requirement that must be met to construct the world - chaos!
It is impossible to predict, and no one can completely control the future, not even the creator.
Although it is so complicated, compared to other worlds constructed in the upper three realms, Su Xingmou's world, which is based on the Game of Life, is definitely more condensed!
It is almost equivalent to a concise formula that summarizes hundreds of thousands of pages of reasoning... A novel in one sentence has won a writing award.
In other worlds in the upper three realms, they often build up their own laws based on the vague and unclear meaning of "Tao generates one, one generates two, two generates three, and three generates all things".
I don’t know what one is, what is two, what is three, or even what the Tao is, I just follow my luck...
Those who are talented and lucky can guarantee the success rate of collision.
After all, even chaotic systems such as turbulence can be painted by Van Gogh; fractals, which are equivalent to chaos, have also been mastered very skillfully by abstract expressionists such as Pollock.
But did Van Gogh understand the physical meaning of turbulence?
Obviously not.
Did Pollock understand the secrets of fractals?
When he was alive, the subject of fractals had not yet been created. It was even more impossible for him to understand the dimensions of fractals, the origin of self-similarity, fractal sets, escape time, attractors...
But Ye Han understood it, and he taught Su Xingmou to understand it too!
If Su Xingmou can really create the world in the fifth realm and advance to the third level...then from now on, there will really be a safe way to reach the third level, a scientific way that is unique to Yemen!
Ye Han plunged into a black hole and virtualized the world. The method of constructing a black hole computer was too complex and high-end. Knowledge, computing power, mastery of soul splitting techniques, and timely tempering of one's character... were almost indispensable.
Even if he is allowed to reset his own state and try again, success may not be guaranteed, let alone others?
But Su Xingmou is really a new and sure path!
It can be repeated and verified!
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While Ye Han was distracted in training Su Xingmou, he did not stop operating on the large group of wandering demons.
It was because of Xuanzang's exposure, Nagarjuna's suspicion, and subsequent clarification that the five hundred guests and friends of Amara Garden paused for a while.
Due to the time difference between the two worlds, this moment seems to be a long time.
After a long time, when their thoughts returned and they checked the battle situation in Fa Luo again, the battle between Huo Jiajun and the seven golden mountains continued...
Although two armies are confronting each other, there is the information flow blessing of the quantum network here, and the integration of the Great Sumeru Mountain Formation there, it is like a group of giants fighting in groups.
On one side are warriors riding war horses, carrying bows and arrows, and wielding swords and walking like the wind. On the other side are seven golden-headed arhats, who are slightly inconvenient to move.
On the one hand, it is powerful and powerful; on the other hand, it is small and flexible, and its fighting talent is off the charts...
Even if you hit one side, you will never fall, and even if you reach it, you will never be in danger.
And as the battle continued and the situation continued to heat up, the environment of Faluo changed quietly. Nagarjuna's guests and friends, as well as Nagarjuna himself, quickly discovered this change.
It is not the changes in the battle situation between Huo Jiajun and the Sevenfold Golden Mountain, which is only a matter of time before they are crushed, but the changes that are quietly taking place in all spaces, all materials, and all demon spirits on the battlefield except them.
A change that makes people, no, makes Buddha's hair stand on end, frightening and shocking.
I don’t know when, all of this has been integrated together, and it is gradually revealing an overwhelming and unparalleled scale!
Even if Kunpeng reaches this point, he still feels ashamed of himself!
Even if he is at his peak, he can only hide his face and walk away!