Chapter 615

Bao Songquan looked at Gu Lu with a suspicious look, "Gu Lu, this plan of yours is really too bold!"

Bao Songquan has already looked at Gu Lu's new topic with extremely high standards.

Even......

Even if Gu Lu was to prove the generalized Hodge conjecture next, Bao Songquan would not be too surprised.

However, the plan that just came out of Gu Lu's mouth was really amazing.

Bao Songquan, who has long developed the ability to be moody and invisible, can no longer maintain his composure.

And what exactly is Gu Lu's bold plan?

In simple terms.

Gu Lu wanted to create a new mathematical framework that included the three branches of mathematics: geometry, algebra, and topology.

More plain to understand.

Gu Lu is trying to construct a unified theory that includes geometry, algebra, and topology!

The Great Unification Theory!

Bao Songquan knows very well what these five words mean, and he knows even more how heavy the weight behind these five words is.

The so-called unified theory of geometry, algebra, and topology can be explained as a unified set of theories to explain all the contents of the three fields of algebraic geometry and topology.

It includes theorems, conjectures, and formulas.

Now, the various branches of mathematics are more or less connected to each other.

For example, algebra and geometry form algebraic geometry, and number theory and algebra make algebra number theory.

But......

Although there are more or less connections between the branches, most of them are connections between single contents, which cannot be studied and explored in the same set of theoretical frameworks.

The unified theory of geometry, algebra and topology proposed by Gu Lu is to put these three branches of mathematics under the same framework for research, so that the connection between the three will change from point-to-point to face-to-face, and finally gradually integrate the three into one.

Let's take an analogy.

If we think of the various branches of mathematics as rooms next to each other.

Previously, there was a door between each of the three rooms, geometry, algebra, and topology.

If you want to see from one room to another, you have to open the door and walk to the other room.

The unified theory of geometry, algebra, and topology proposed by Gu Lu can break the wall between the three rooms.

Such.

No matter which room you stand in, you don't need to make any movements, you just need to look at the other room.

The process of constructing this geometry-algebra-topology theory is figuratively the process of breaking the wall between the three little by little.

But the process of breaking the wall was not difficult at all.

Because those walls are very large and strong.

It is not that the predecessors have not tried to construct this set of grand unified theories.

But apart from a few pitted marks on the walls, there is basically not much to achieve.

If Gu Lu really wants to try to construct this set of geometry-algebra-topology unified theory, it will be similar if not starting from scratch.

And it's not just one wall, it's three whole walls: geometry-algebra, geometry-topology, and algebra-topology.

The amount of work and difficulty involved......

Bao Songquan is really unimaginable.

Because of this plan, anyone who hears it will find it incredible.

Otherwise, Bao Songquan would not have had the extremely bold idea of Gu Lu's plan in his mind when Gu Lu finished speaking.

…………

"Gu Lu, you really ...... Don't think about it anymore?" Bao Songquan glanced up at Gu Lu and spoke tentatively.

Bao Songquan is not optimistic about Gu Lu's bold plan to try to construct a unified theory of geometry-algebra-topology.

With Gu Lu's talent, as long as Gu Lu is given enough time, Gu Lu still has a great chance to construct this set of unified theories in his lifetime.

But.

That was in my lifetime.

How much time and energy it takes to construct this set of unified theories, Bao Songquan still has a rough estimate in his heart.

At least three years to start.

And that's just a conservative estimate.

If there is some kind of inspiration drying up in between, it will be a long time coming.

Moreover......

An even more important point.

It is still unknown whether the set of geometry-algebra-topology unified theory mentioned by Gu Lu in the plan really exists.

This grand unification theory may or may not exist.

If it exists, it will be fine, at most it will take a little more time, and there will be a day when it will be found.

But if it doesn't exist.

That's a blood deficit!

What a real blood loss!

This is not the same as proving a conjecture.

If a conjecture is not true through proof, it is at least one of the results, but the result is less than satisfactory.

But......

If there is no such thing as a unified theory, then there really will be nothing.

The price of wasting time, fame and fortune have not been gained, it can be described as a huge loss.

Not to mention.

In more than two years, it will be the next Fields Medal selection.

Now Gu Lu's top priority should be to seize the time to accumulate capital for the selection of the Philippine Awards and study a few more results with high certainty, rather than placing bets on such a risky plan.

The geometric-algebra-topological grand unification theory is a big hole.

It's a big pit that is hard to climb out of once you fall in.

Bao Songquan didn't want Gu Lu to be trapped in it.

Therefore, when this plan was still in the preparatory stage and had not been put into practice, Bao Songquan hoped that Gu Lu could change his mind.

But apparently.

According to Gu Lu's temper, once something is decided, he will do it without hesitation, no matter what the risks and benefits of this matter are.

In the face of Bao Songquan's persuasion, Gu Lu just smiled lightly and shook his head gently, "Senior brother, I have already thought about it, my next topic is definitely this!"

"Are you really going to try to construct a geometry-algebra-topology grand unification theory?"

"Seriously!"

"You should know how much time you'd waste if the grand unification theory didn't exist on its own. ”

"I know, but I have a hunch that this set of grand unification theories will definitely exist!"

"Okay!" Seeing that Gu Lu had made up his mind, Bao Songquan did not choose to persuade him.

Gu Lu is still young and has many opportunities for trial and error.

Besides, even if you lose the qualification to win the Philippine Award this time, isn't there a next one!

Gu Lu can afford to wait.

Since he chose to agree, all Bao Songquan needs to do is support Gu Lu wholeheartedly.

"When will the project be established?" asked Bao Songquan.

"In the middle of next month. Gu Lu replied.

It's the end of March.

Coupled with the preparation time, Gu Lu estimated that it would be almost half a month before he could officially start the research work.