Road to science and technology

"So you are here!"

A message sounded throughout Pangu Civilization in the form of a broadcast.

This made the leaders of Pangu civilization very nervous. They turned on the sensitivity of various electromagnetic wave detectors to the maximum. In addition, they also had various gravitational wave detectors to enable all-round detection in all wavelength bands.

In addition to electromagnetic waves and gravitational waves, all other types of fluctuations in the universe fall within the scope of these two waves. The Pangu civilization naturally knew this, so they were trying their best to search.

But in the end, they found nothing. They only detected slight waves in space everywhere, and those space waves were transmitted to their detectors in the form of gravitational waves.

The dark plane cannot be laid out, and they have lost their most powerful detection ability.

Just like a highly myopic person who has lost his glasses, looking up, he can see the vast sea of ​​stars, and he can't see anyone coming.

They can detect void civilization, but they cannot detect this unknown civilization.

After the results of this one-sided spying came out, the depressing atmosphere gradually turned into panic, which spread throughout Pangu Civilization.

Never before.

In the past, they were the ones spying on others, but now the roles have been reversed, which makes the entire Pangu civilization decision-makers very uncomfortable.

After a long time with no results, they decided to take the initiative to send a message to inquire. There was no dark plane, so they sent it in the form of electromagnetic waves and gravitational waves.

The band is the same as what they received, and they believe that the other party can definitely receive it.

"who are you?"

"Why did you destroy the dark plane? The dark plane is the key to saving the universe. Without the dark plane, the universe will die in the Great Rip."

"The void civilization stands on the opposite side of the creatures in the universe. They have no regard for the life and death of the entire universe. You should not believe what they say."

Messages were sent out one after another, but all fell silent.

Pangu Civilization thought of various solutions and countermeasures, but after each one was eliminated, all that was left was to continue broadcasting.

So one day, Pangu Civilization suddenly discovered that the computing power of their supercomputer seemed to have deteriorated.

This was discovered by a mathematician from the Pangu civilization.

Although Pangu civilization is now facing the triple crisis of dark plane, unknown civilization and void civilization, like conventional civilization, not everyone faces these things.

Therefore, those scientists who have been studying basic science rarely care about these things, or it is useless to care, unless those in power come to them.

Moreover, a civilization’s research and exploration of mathematics should never stop at any time.

It was under this circumstance that a mathematician who had been working in the field of basic mathematics discovered this phenomenon.

That day, as usual, he applied to use Pangu Civilization's most powerful ternary computer, Sanqing, to calculate a mathematical conjecture. This conjecture is called the Taiyi Conjecture in Pangu Civilization. It has been around for millions of years. A conjecture that has not been proven.

But mathematicians are still working hard. They firmly believe that this conjecture is correct, and during these millions of years, they have been making progress and trying to prove the conjecture.

Because once this conjecture is proven to be true, it will have an important role in promoting the development of mathematics and even science in Pangu civilization.

The mathematicians of the Pangu civilization are well aware that in the past tens of thousands of years, many outstanding physicists in the civilization have proposed some cutting-edge theories, but they all got stuck in mathematics during the process of constructing the theories.

As we all know, mathematics is a tool of science, and the establishment of physical theories must use mathematics. This is an unavoidable obstacle.

But now, there is a slowdown in computer operation speed, which is difficult for mathematicians to accept. So they informed the computer experts about the matter. However, after some rigorous testing and verification, the computer experts actually told them that the supercomputer was fine.

There is no problem with the computer. Is it because the proof process of this conjecture is too difficult? So much so that the supercomputer of Pangu Civilization had to run for hundreds of years before it could calculate a relevant calculation formula?

It's not that mathematicians haven't thought about using manual calculations, but they just think about it. Supercomputing takes so long. If we really need manual calculation, we might not be able to calculate the result of one of the steps until the heat death of the universe.

As a result, mathematicians found that this seemingly close proof suddenly drifted away.

The mathematicians of Pangu civilization knew that this was fatal.

Just like the Riemann Hypothesis.

Without the Riemann Hypothesis, there would be no Riemann function. The practical significance of the Riemann function zeta function ζ(s) is that the N-dimensional real space intersects in a certain perfect law, and every point exists in any space.

It is easy to deduce from the establishment of this conjecture: microscopic particles emerge from high-dimensional space, and the superposition state is just their projection in three-dimensional space.

This explains the appearance of quantum entanglement very well. So people know that uncertainty is caused by changes in other points, and the law of this change is certain.

This deterministic law of change happens to be certain self-evident axioms, such as the law of cause and effect.

For Pangu civilization, the proof of the ‘Taiyi Conjecture’ is also similar.

Pangu civilization still doesn’t know why.

Because the civilization that knew why didn't tell them.

Without telling them:

More than 10,000 mathematical propositions are based on the establishment of what they call the ‘Taiwan Conjecture’ and its generalized form. Most of these more than 10,000 mathematical propositions are related to the calculation of deep-level space-time dimensions, basic rules of the universe, and other advanced scientific theories.

Nor did he tell them:

Once this conjecture is proven, then more than 10,000 mathematical propositions will be deduced naturally and promoted into theorems. These theorems are the cornerstone of the continued progress of Pangu civilization’s science and technology.

All of this is based on the establishment of this conjecture.

Many people are surprised. If this is the case, then the Pangu civilization has not been proved. Can we just say that this conjecture is true and then use it?

Of course not, because if you don’t prove it, you don’t know how to use it. After all, the formulas, kilometer calculations, various variations, etc. used in the proof process are the cornerstones of science.

Learning is not child's play. For example, if a physicist encounters a difficult problem, he must use calculus to solve the problem before he can continue his theory. But at this time, the mathematics of this physicist's civilization had only developed to set theory, and had not even proposed the concept of limits. So it is conceivable that due to mathematical reasons, this physicist could not continue his research.

Because to create calculus, first set theory is the basis of everything, then real numbers and functions, followed by real number theory, then sequence limits, then function limits, continuity of functions, then derivative differentials, then series, and finally multivariable integrals This is how calculus was founded.

Armed with these mathematical tools, physicists can move forward.

But now Pangu Civilization has discovered that the proof of this conjecture seems to be far away!

But as a civilization that has existed for billions of years, they obviously did not give up. They were so tenacious. After discovering this phenomenon, we started to deduce it from the initial logical thinking, repeatedly demonstrated it, and then verified it step by step while ensuring that the logic was strict.