Pi has been confirmed by modern science and is an irrational number. That is to say, pi is infinite, and the internal numbers do not cycle. The philosophy behind this seemingly simple mathematical problem of infinite loop is not involved in the textbook. It can be said that since we have found the irrational number, it will take the universe 65.438+038 billion years to use the light speed computer, and we will not accurately calculate pi.
Isn't the universe infinite? After all, pi is here. All cosmic information is converted into numbers, and the cosmic things represented by any combination of numbers can be stored in pi. So pi is not only used in astrophysics, but also often used as a cipher carrier. The tireless calculation of pi can also test the performance of supercomputers. Others rarely need hundreds of trillions of bits of pi, because it is unnecessary, and there are not so many scientific research projects in the world that can calculate such a quantity every day. Even if the motion of celestial bodies hundreds of millions of light-years away is calculated, pi of 1000 bits is enough.
If the topic of calculating pi is not new, more and more people come back to ask a question. What will the world be like if pi is calculated in the end?
Can it be counted?
In the conventional understanding, pi is an irrational number, but there is a premise: in the existing mathematical system. Those who support the idea that pi can be calculated, not all parts of the universe follow the existing mathematical system of mankind. Many new studies have found that many things will conflict with existing mathematical buildings.
1. First of all, there is no mathematics inside a black hole, so it is meaningless for all mathematical laws to fall into a black hole.
2. Pi is based on a circle. There is a sphere in three-dimensional space-time and a circle in two-dimensional space-time, so there is no circle in one-dimensional space-time, so there is naturally no pi, and pi in four-dimensional space-time and above has not been confirmed. According to superstring theory, human beings will have the opportunity to enter one-dimensional space-time in the future.
3. Another situation is that the universe collapses in the later period of life and returns to the original singularity, so π may have an end. In fact, this time may also be the so-called one-dimensional space.
There is also a saying that contemporary mathematics is not perfect. If there is a more advanced civilization, pi may be calculated in the upgraded mathematical system.
So there are still many people who think that there is an end to pi from a philosophical point of view, and in the future, human beings will be able to calculate all the values of pi.
What will the world look like if the future is counted one day?
1, the influence of shallow layer
There is no doubt that the existing mathematical order will be rebuilt, because once pi can be calculated, there will be no standard circle (curve), calculus will naturally be denied and most mathematical rules will be invalid.
At this time, mathematics will enter the "quantum age", and every field of mathematical research has a minimum value. Once a mathematician touches this minimum in his own field, it means that his research has come to an end and there is no need to continue digging.
1, the influence of the middle layer: how to calculate π? Ask the hydrogen atom!
Roots from different fields will gather in physics and become a tool for physicists to study the universe. Pi is naturally related to quantum mechanics.
As early as 20 15, scientists at the University of Rochester made an unexpected discovery. In the energy calculation at the hydrogen atom level, they found that the calculation company is the expression of a mathematical formula elaborated by mathematician john wallis in Infinite Arithmetic: Pi is actually equal to the product of the multiplication of infinite fractions, which means that human beings can use hydrogen atoms to calculate Pi without mathematical tools. This is the first time in physics to calculate the formula of circle. The publishing time of infinite arithmetic is 1965, and the earlier formula principle appeared 300 years ago, which is pure mathematics in medieval Europe. The change of π will definitely affect quantum mechanics, the pillar of physics building in the next century.
Since the emergence of quantum mechanics, Laplacian demon, one of the four beasts of physics, has been directly denied, because the trajectory of electrons is irregular, and you don't know where an electron will be in the next second, so the future cannot be calculated. "Laplace demon" thinks that knowing the momentum and position of each substance can calculate the events of the whole universe. However, once π is limited, the energy level transition of electrons can be calculated theoretically, and the Laplacian demon, which has been closed for nearly a hundred years, may see the light of day again.
3, the highest level of influence
The highest level, once calculus is calculated, mankind will enter a new era.
The first indicates that human civilization has developed to the point where everything in the universe can be understood. Man knows the universe like the back of his hand at this time, because calculus contains the information of everything, and the last digit has been calculated, so he naturally knows the whole universe. To reach this stage, human civilization may need to span several stages of civilization, because upgrading such civilization is more difficult than flying out of the solar system and the Milky Way. Maybe humans can approach the speed of light, but there is still no way to calculate the final pi. Do you think pi will be the key to solve the mystery of the universe?