Source | Quantum College
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What is a "low-dimensional creature"
Although they are in the same space, they are not a species.
Some people question that high-dimensional organisms can observe low-dimensional organisms, but humans can't find two-dimensional species. Why?
In fact, there are many, vast.
They are no different from ordinary people in chemical bonds and molecular structures.
This is actually understandable: ants are also three-dimensional structures, but their thoughts are flat. When they climb up, they still climb on a surface, but they find it harder to climb. This is why some scientists in the field of biology regard them as two-dimensional creatures.
In other words, even if it has a high-dimensional structure, it is still a low-dimensional creature.
Of course, these low-dimensional creatures can only see two-dimensional planes, and it is impossible to realize their low dimensions.
On the contrary, low-dimensional fun is temporary cool, and low-dimensional fun has always been cool!
The size of the world has been shrinking. How to treat "low-dimensional creatures"?
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Controversy caused by Tsinghua University's book list
What is a low-dimensional organism? Let's start with Tsinghua University's book list.
This part is taken from China Youth Daily.
The view of low-dimensional creatures is very clear and intense: Tsinghua University has not achieved cultural self-confidence. Why do we have to send foreigners' books when we are five thousand years old? Aren't you sitting? There must be a conspiracy behind this.
But for high-dimensional creatures, we have to observe many things: from the operation law of the whole universe to the structure of molecular atoms. Therefore, true cultural self-confidence is all-encompassing, absorbing the power of other civilizations and establishing more cultural coordinates. Excellent works have no national boundaries.
If we define what a "low-dimensional creature" is from recent social events:
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These low-dimensional creatures are actually prisoners.
Why are they "low-dimensional creatures"? Because they are also "low-dimensional prisoners".
There is a cave metaphor in Plato's Republic. A group of prisoners were shut up in a dark cave, facing a stone wall. There are torches behind them, and the fire shines, and a shadow appears on the stone wall in front. Prisoners believe that this is the truth of light.
It was not until a prisoner turned around, saw the torch, walked out of the cave along the fire and saw the sun that he realized that the shadow was illuminated by the fire, and the scope of the fire was far smaller than the sun. He finally knew that the real light was the sun.
The prisoner returned to the cave and told his companions that the shadow is not light, but the real light is outside and boundless. The prisoners laughed at him and thought he was crazy.
Summer insects are not ice, which is the same reason. Limited by the five senses, the scope of migration, lifestyle and cultural customs, people always have far less knowledge than what they have, even pitiful knowledge, which can hardly be said to be truth.
Most people are prisoners trapped in this world, unable to see the truth of this world. A few people who see the real light will be laughed at by other prisoners.
Ignorance is the eternal dilemma of low-dimensional people, which cannot be eliminated. Can the prisoner finally get the reliable truth? Why are many people prisoners of illusion?
Because they are trapped in a very low dimension, and they never doubt, lack logic, never reflect and lack rationality. Always think that what you see is the truth, and always think that what you do is right.
Therefore, low-dimensional creatures are reasonable, low-dimensional creatures are murderous, low-dimensional creatures like toughness, low-dimensional creatures like "domineering", and low-dimensional creatures think that black is white.
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Low dimensional "truth"
Truth is not necessarily directly perceived, and truth is not obtained from textbooks.
It is not simply pursuing golden sentences and emotions, nor blindly believing in "chicken soup".
The more cynical, irrational and pure stand-up and conspiracy theories, the more likely they are to be xenophobic, lying, bossy and violent, and then turn complex problems into simple opposites.
The truth needs reflection, reasoning and independent judgment.
What you see is the truth, what you can't see is the truth.
The projection of high-dimensional reality in low dimension is only the shadow of real body.
What is the low-dimensional truth?
? A snail has been crawling on the edge of the bowl, thinking that as long as it keeps crawling, the line will always end. Snail knowledge is one-dimensional knowledge. It doesn't know that straight lines can be bent into circles. A one-dimensional circle must be visible on a two-dimensional plane.
? A ladybug crawls on a sphere. It climbs fast, but it will never climb out of this sphere. Its knowledge is two-dimensional knowledge, and it doesn't know that a plane can be bent into a sphere. A two-dimensional sphere must be seen in three dimensions.
? Humans have surpassed snails and reptiles and know that there are spheres and solids in the world, but in fact, it is impossible for people to see a complete two-dimensional sphere at once, but by constantly rotating the three-dimensional sphere and splicing it into a two-dimensional sphere through side visual clips. In fact, we can't see a complete sphere at all. Similarly, people can't see any three-dimensional objects at once.
As a low-dimensional creature, you can only see the low-dimensional truth. What is special about human beings is that they can not only see two-dimensional surfaces, but also overlap and splice them into a solid.
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Reflection on high-dimensional creatures
High-dimensional creatures will reflect, will this three-dimensional world we live in be just a projection?
In the universe model of general relativity, our three-dimensional universe is indeed a small projection of a four-dimensional sphere, which is finite and infinite.
Since ancient times, philosophers have debated whether the universe is confined to space, forming the famous antinomy:
? Title: The universe is infinite in space.
? Inverse problem: The universe is limited in space.
The solution of this problem depends on the difficult exploration of mathematicians and geometricians. From European plane geometry to Riemann bending geometry, geometricians finally used "bending" and "circle" to quantitatively describe the degree of bending, and then created an N-dimensional non-Euclidean geometry, which separated the two concepts of size and boundary.
Geometric shapes with limited volume may have no boundaries, such as a one-dimensional circle with limited length but no starting point and ending point; The area of a two-dimensional sphere is limited, but there is no boundary.
Einstein creatively applied N-dimensional non-Euclidean geometry to the universe and explained the finiteness of the three-dimensional universe.
The universe we live in is a four-dimensional sphere. In this sphere, any three-dimensional creature, including human beings, cannot perceive the curvature of the universe as a whole, but regards the universe as a roughly flat three-dimensional space. The celestial body in the universe will distort the three-dimensional space locally, just like a convex and concave sphere, but it will not affect the bending of the whole sphere.
The volume of the universe is limited, it is expanding and may shrink in the future, but we will never fly out of this four-dimensional ball. There is no essential difference between humans flying in the universe and snails crawling around and ladybugs walking on two-dimensional spheres. They all just move in a limited and endless curved circular space. Unless God created multiple universes, we can't explore the edge of the universe.
What does this mean? If a person lives long enough, the light on his back will enter his eyes from the front after tens of billions of years, that is, he can see his back.
The essence of a four-dimensional sphere is absolutely unimaginable, because it is a high-dimensional truth, which transcends human eyes and imagination and is the truth assembled by human beings through low-dimensional projection visible to the naked eye.
In fact, all human cultural behaviors are assembling and splicing, evolving from low dimension to high dimension.
But what about reality?
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Evolve to higher dimensions
Are we really evolving to a higher dimension?
In fact, we see more dimension reduction, that is, pan-intelligence dimension reduction and anti-intelligence dimension reduction;
Seeing more vulgarity, you can directly vilify famous universities without academic qualifications and reading;
What I see is biodegradation. After lying flat, he smoked opium in a short video and then began to swear.
The strength of a country and civilization depends on slogans, keyboards, emotions, and wars, and the word "traitor" spouts from the mouth.
Whoever has a higher dimension of truth is stronger, and evolution is to upgrade the dimension.
Every time the dimension evolves, the competition among species, civilizations and people will become a struggle between low dimension and high dimension, which is not an order of magnitude at all.
1840 during the opium war, the British navy of a small island country crossed half the world and accurately drove to the gate of the Qing Empire with a population of 400 million, but Daoguang didn't even know where Britain was. After the war began, the British armored ship and the muskets driven by the steam engine beat the Qing army to no avail.
Is the slogan of Boxer Rebellion silent? Scold the poor war?
It is important to learn more knowledge and understand the most cutting-edge science and ideas.
Why did Britain defeat the great Qing Empire? Because it has mastered celestial mechanics, there are scientists like Newton, thinkers like Bacon and Voltaire, and they know the movement of the earth like the back of their hands. At that time, the population of 40,000 in the Qing Dynasty thought that they were living on the same plane.
Only by actively promoting dimensions can we see the truth of high dimensions. Of all the forces, one is the most fundamental.
It is this power that enables us to expand low-dimensional knowledge into high-dimensional knowledge.
It is this power that enables us to connect knowledge fragments into closed-loop knowledge.
It is this power that enables us to expand direct knowledge into indirect knowledge.
It is this power that enables us to combine local knowledge into whole knowledge.
It is this power that enables us to understand the truth without relying on imagination.
It is knowledge and learning, humanity, reason and logic.
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How to go from low dimension to high dimension?
A high-dimensional society should pursue rationality and goodwill.
A strong country should pursue openness and science.
Behind those feelings of justice armed with emotions are flattery and laziness.
The core reason is: don't shout the truth, in fact, you just dare not face the facts.
The low-dimensional knowledge in the above two directions is correct, but it does not reach reliability.
There are three rules for logical assembly from low dimension to high dimension (mathematics and geometry should also be observed):
? Identity: the connotation and extension of the same concept cannot be changed in logical reasoning. In short, don't change your mind and change the subject.
What do you mean? You reason with him, and he plays rascal with you; You play hooligans with him, and he tells you about the legal system; You talk to him about the legal system and he talks to you about quantum, which is very troublesome.
? Law of non-contradiction: in the same thinking process, two contradictory ideas can't be true, and one of them must be false. In short, don't contradict yourself.
? Law of excluded middle: In the same thinking process, contradictory thoughts can't be false, but there must be a truth. In short, there is always a correct conclusion.
In order to clearly understand the law of non-contradiction and law of excluded middle, we should add:
? Opposition is not contradiction: people often confuse opposition and contradiction, but they are absolutely different. Opposing things can exist and even depend on each other. Contradictions cannot exist under any circumstances. Two opposing propositions can be true or false at the same time. Contradictory propositions must be true and false.
"This is a downhill road" and "This is an uphill road" are opposite propositions, both of which are correct. They can sum up as "this is an inclined road".
"This is an inclined road" and "This is a flat road" are contradictory propositions, and there must be one truth and one falsehood.
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Shengwei makes China a better place.
Low-dimensional creatures are reluctant to ascend because low-dimensional creatures can sometimes become addicted.
When a person is in the position with the lowest potential energy, he is certainly the safest.
If you want to be impeccable, turn yourself into a gangster. I'm a gangster anyway. What can you do?
When you have nothing, you become noble.
But this is not a means for a country to become rich and strong. If the country wants to enrich the people and strengthen the country, it must be upgraded.
Only with strong thinking can society move forward quickly. Let's give two examples. With knowledge, learning, good logic and rationality, we can deduce the truth through thought experiments.
Galileo's free fall
As we all know, Galileo proved that the speed of free fall has nothing to do with the mass by letting two iron balls with different weights fall to the ground at the same time. But this is Galileo's experimental method to convince others. How did Galileo discover the loophole that "the heavier an object is, the faster it falls"?
He did it through logical analysis.
Suppose there are two balls A and B, the weight of which decreases in turn, Ma >；; Mb. According to "the heavier an object falls, the faster it falls", the falling speed VA >；; Galileo imagined what would happen if A and B were tied together and then fell.
? Because ab is tied together, the mass of ab increases, so the falling speed is VAB >:Va & gt；; Vb .
? Because the slow decline of B will slow down the decline of A, VA >:Vab & gt；; Vb .
The same premise leads to two different answers, which proves that not only the two answers are wrong, but also the premise is wrong.
Einstein's photoelectric effect equation
At the end of 19, Planck didn't understand why the process of atomic absorption of light energy was discrete. He explained that atoms absorb light energy like this:
Atoms are like spoons, and light energy is a bucket of water. Of course, the spoon can only hold one serving of water.
Planck believes that the root of discreteness is that atoms are one after another, while light is still continuous.
Einstein, 26, has a different view. Experiments show that different atoms absorb the same amount of light energy. If the amount of light energy depends on atoms, then the energy absorbed by different atoms must be different. Just like different spoons hold different water, even if they are served one by one.
This shows that the reason for determining the amount of light energy is not atoms, but light itself, which is a copy. So different atoms absorb light, in fact, different spoons hold the same grapes, only one at a time, and they are the same size.
Einstein deduced the photoelectric effect equation and easily won the Nobel Prize in physics. In fact, this equation is not difficult to write, even very simple, and should belong to Planck.
Galileo was the founder of modern science, and Planck and Einstein led quantum theory and relativity, which enabled Europe and America to make a strong leap in the scientific field and have a modern civilization leading the world.
Finding the truth, digging the truth and upgrading the dimension are the fundamental ways to make China better.
And all this requires learning knowledge and reading, rather than typing on the internet.
If you really love this country, you should study hard instead of cursing the old man and the sea.
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No truth is perfect.
Some people say that many voices on the Internet are irrational.
Because many of them are primary school students, middle school students and even some are illiterate.
Then study hard, study hard, and don't cling to the "algorithm cocoon room".
Some people say that you are qualified to spray the books recommended by Tsinghua, and you will never reach its threshold.
This view is a bit extreme, everyone is qualified to criticize, but you have to read some books when criticizing.
Back in Tsinghua, as one of the highest universities in this country, the recommended books list embodies the concept of combining Chinese and foreign, learning from others, and should be read well, not sprayed.
The summer vacation book list of Tsinghua University 202 1 in a science and engineering university clearly expresses the concept of humanities+science.
Attachment: "Summer Book List" recommended by Tsinghua
Please click on the link above to view the complete list.
artist
Highlight: This novel focuses on the life and career of several young artists, describes the creation and life of artists for more than half a century, and reflects the changes of domestic artistic career and social environment during the same period. The author mentioned: "I don't shy away. This novel is about the life history of my generation, including the history of mind and the history of artistic pursuit. "
Confucius and Analects of Confucius
Recommended reason: This book is Mr. Qian Mu's heavy exposition of Confucius' theory and the teaching and reading methods of The Analects of Confucius, and it is the essence of Confucianism.
Beauty of formula
Highlight: Every formula has a history behind it. The content of this book is easy to understand, full of professionalism and interest, with creative illustrations and exquisite book binding, which takes everyone into the mysterious and beautiful scientific world.
The year of adventure: a classical music every day
Highlight: This book leads readers to listen to music through reading, decorate their lives with classical music, and convince readers that classical music is an endless, diverse and dynamic global art form.
Follow insects
Highlight: The author's architectural background gives him a unique perspective to observe insects, and many photos show the structural beauty of insects that ordinary people don't know, giving people a refreshing and diversified experience; In careful observation, scientific knowledge and reasoning are combined to reveal the evolutionary mystery behind insect behavior.
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Close to high dimension
There are many classifications of human beings.
Some are classified by nationality: China, the United States, Japanese and French. ...
Some are classified by ethnic groups: Han, Zhuang and Bai. ...
There are also those classified by color: yellow, white and black. ...
In fact, there is a more important classification: high-dimensional organisms and low-dimensional organisms.
Those who are willing to get along with others, think rationally about the world, and rely on logic and knowledge to make themselves infinitely close to the truth are moving towards higher dimensions. Although human knowledge can't be perfect, it approaches its imaginary extreme value like an asymptote, or just like the speed of an object can always approach the speed of light but never reach it.
However, as long as they are willing to learn, these people will eventually approach higher dimensions.
Of course, there are also some people:
Mixed table tennis, blowing to the top of the universe, was scolded for not winning the gold medal;
People who force donations at every turn;
Consume Red Star Kerr and attack other brands;
…………
These people, in addition to biological similarities, have gradually become another species.
Reason and logic are the only lighthouse that we can rely on when walking in the dark night of the universe. Don't give up this light, indulge in your irrational emotions and inertia cage, and eventually become a low-dimensional prisoner.
This is not good for individuals, society and the country.
Stop "low-dimensional fun is cool for a while, and low-dimensional fun has always been cool".
Otherwise, there will be another "low-dimensional creature" in this world.