1900: A physics genius wandering around Europe

Chapter 531 God's move! Mathematical equivalence! The audience was shocked! The final conclusion! The true God of quantum!

"slow!"

As soon as the voice came out, the whole audience was shocked!

Everyone looked towards the same place at the same time.

The direction where that man is!

It is also the direction where truth lies!

hiss!
"Is Professor Bruce finally going to take action?"

"Both wave mechanics and matrix mechanics have obvious flaws. How will Professor Bruce solve them?"

The level of the debate just now was so high that it can be regarded as one of the top scenes in the field of physics.

Schrödinger, Heisenberg, Pauli, de Broglie, Bohr, Einstein.

They are all the top physicists in the world.

If a person's views and arguments may have flaws.

Then the probability of a group of big guys making mistakes is very low.

Not to mention that classical physics giants such as Planck and Lorentz were present.

They may not understand quantum mechanics as well as the younger generation, but their basic knowledge is definitely very solid.

Even with such an ultra-luxurious lineup, it still cannot solve the contradiction between wave mechanics and matrix mechanics.

The difficulties can be imagined.

But when this voice sounded.

Everyone suddenly became excited and looked forward to it.

"Professor Bruce will definitely break the rules and create miracles!"

Heisenberg's face was filled with ecstasy and his body was shaking with excitement.

He felt that Professor Bruce chose to take action at this moment in order to solve Einstein's problem.

"Woo~"

"Professor Bruce is still on my side."

"I am the first person to help him rebuild the old quantum theory!"

"The core of matrix mechanics is full of Professor Bruce's hard work."

"He will not stand idly by!"

Compared to Heisenberg's excitement, Schrödinger was much more restrained.

But, he was also very nervous.

Since the two forms of quantum mechanics were published, Professor Bruce has never publicly evaluated the pros and cons of the two.

Instead, he praised both theories for their changes and influences on quantum mechanics.

As the number one general following Professor Bruce in the Quantum Institute, Schrödinger thought he knew that godly man very well.

In life, the other person is amiable and approachable, and can chat about any topic in a very casual manner.

However, in the academic field, the other party is arrogant, domineering and ruthless.

You can question, but your doubts will be shattered by the opponent's terrifying strength!
Schrödinger had deeply felt the horror of Professor Bruce in that state!
All his knowledge, experience, inspiration, and logic were ruthlessly crushed.

It's like trying to shake the sun's heat with the faint light of a firefly.

What a difference!

"You may be right, but Professor Bruce is never wrong!"

So, Schrödinger was a little worried.

After all, my wave mechanics was derived from a burst of inspiration and has not been rigorously deduced.

With Professor Bruce's sharpness, he might be able to find a problem more serious than Professor Bohr's.

There was an inexplicable light in Bohr's eyes.

He finally waited for his mentor to take action!

This is the real climax of today's meeting!

"Any meeting without Professor Bruce speaking is just a fuss!"

Like Einstein, Bohr did not have any obvious factional tendencies for the time being.

Although he raised fatal questions about wave mechanics.

But this does not mean that Bohr hated wave mechanics.

On the contrary, he liked the simplicity of this form of quantum mechanics.

He just wanted to make wave mechanics more perfect.

In real history, the dispute between wave mechanics and matrix mechanics should be regarded as the first debate in quantum mechanics.

Except for Heisenberg and Pauli, the two brothers insisted on matrix mechanics.

Almost everyone else is optimistic about wave mechanics.

Especially after the two were proven to be mathematically equivalent, matrix mechanics was immediately neglected.

Unless one is specialized in conducting research in a specific field, everyone's discussions are based on wave mechanics.

Moreover, Bohr criticized Heisenberg for belittling wave mechanics.

He has been thinking about how to connect the physical basis of the two.

After all, mathematical equivalence and physical equivalence are not the same concept.

After Born gave a new interpretation of the wave function, the second debate in quantum mechanics was triggered due to different understandings of the nature of the world.

This time, the camps began to be truly divided.

Einstein, Schrödinger and de Broglie are of the same school.

Bohr, Heisenberg, Pauli and Born are from the same school.

The point of debate between the two sides is the interpretation of the wave function in the wave equation.

Planck, Lorentz, Madame Curie, Compton and others were all spectators.

So, in today's meeting, except for Heisenberg and Pauli, everyone else still prefers wave mechanics.

Fortunately, Heisenberg didn't know this, otherwise he would probably cry on the spot.

At this moment, Einstein looked at Li Qiwei, smiled slightly, and looked forward to it in his heart.

He did not think that the other party was preparing to refute his question about the cloud chamber trajectory.

"Bruce, are you finally going to take action?"

"Matrix mechanics and wave mechanics were both completed under your guidance."

"One is the palm and the other is the back of the hand. With your personality, it is impossible for you to be partial."

"So, is it really as Professor Planck guessed?"

"is it possible?"

A bright light burst out from Einstein's eyes.

Next, perhaps it’s time to witness a miracle!
Under the gaze of everyone, Li Qiwei slowly stood up.

He smiled and said to everyone:
"Haha, I was just lost in thinking about the problem."

"By the time I realized it, I didn't expect the discussion was almost over."

"But it doesn't matter."

"Because I will end this discussion."

boom!
As soon as he finished speaking, the whole audience burst into exclamations!
Everyone gasped!
Extremely shocked!

What confidence and domineering attitude!
God's move! Judge the orthodoxy! End everything!
Everyone was stunned, their eyes widened, speechless.

Lorenz was the first to react and said hurriedly:

"Hey, Bruce, stop playing tricks on me and come up here."

Li Qiwei laughed awkwardly and walked to the front of the stage.

He gave Schrödinger and Heisenberg an encouraging look respectively.

"well done."

Then, under everyone's eager gazes, he finally spoke.

"From the beginning of the discussion until now, I think you should have made a judgment in your mind."

"Matrix mechanics and wave mechanics are by no means contradictory theories that are incompatible with each other."

“Particles and waves, two completely different theories based on physics, surprisingly have the same conclusions.”

"This shows that there must be an extremely profound connection between the two."

"What exactly is the nature of this connection? I don't know for the time being."

"But I can prove mathematically that wave mechanics and matrix mechanics are completely equivalent!"

boom!
Everyone was shocked!

Most people were shocked!
"Oh my God! It turns out that matrix mechanics and wave mechanics are equivalent!"

"How can this be?"

"The mathematics used in matrix mechanics are matrices and linear algebra, while the mathematics used in wave mechanics are calculus and differential equations."

“I can’t figure out how to prove equivalence.”

Planck, Einstein and a few others were shocked.

"Sure enough!"

They had already guessed this.

The discussion just now is enough to demonstrate the charm of the two theories.

Although everyone prefers wave mechanics, few people think that matrix mechanics is wrong. In other words, both theories are amazing.

Deep down, no one wants any of the theories to be wrong.

Therefore, the only way left is unification.

However, no one has the ability to prove it.

And now, Professor Bruce has finally done it!

Schrödinger and Heisenberg pretended to look at each other casually.

Then he quickly turned away to avoid embarrassment.

This situation is the most perfect one that both of them can accept.

Both of their theories are correct and are the orthodoxy of quantum mechanics.

Happy to everyone!

At this moment, Li Qiwei did not let everyone wait, he directly started the process of tearing up the proof by hand.

On the huge projector, his elegant handwriting is a pleasure to look at.

As he wrote, he said:
"Matrix and calculus, linear algebra and differential equations, it seems like they are really not related at all."

“But that’s because you think about them in traditional Euclidean space.”

"If we do the calculations in Hilbert space, the situation is very different."

“As shown in the picture.”

"In Hilbert space, the equations describing particles can be written as a superposition of a set of basis functions."

"This process is similar to the Fourier transform."

“An original function is transformed into the addition of many functions.”

"The wave equation can be turned into this functional form."

"If you choose a different basis function, the resulting expansion coefficients will be different."

“So, there will be a one-to-one relationship.”

"At this point, we write the coefficients as a separate column and we get a vector."

"In this way, we have linked functions and vectors together."

"This means that the wave equation and the vectors are also connected."

"And what is the Matrix?"

"The function of a matrix is ​​to transform one vector into another vector."

"So, through the special properties of Hilbert space, matrices and calculus are related, and the two are converted into each other as vectors."

"."

quiet!
The room was so quiet you could hear a pin drop.

Everyone was stunned with shock, their mouths open.

They all understood the contents on the projector individually, but when they were put together it became a mystery.

Is this still a physics conference?
Are you sure this isn't the World Mathematical Congress?
These top physics giants were also shocked by Li Qiwei's proof process.

Its difficulty far exceeds people's imagination.

Compton asked quietly:

"Wu, what is Hilbert space?"

Wu Youxun smiled bitterly, he only knew a little bit.

“You can understand it this way.”

"There are only three coordinate dimensions in Euclidean space: xyz."

"And Hilbert space extends to many more dimensions."

Compton said, "Oh."

I don’t know how powerful it is!

Wu Youxun's face was full of admiration.

"Professor Li is so strong!"

"This kind of mathematical ability is among the best even among mathematicians!"

Bohr, de Broglie and others looked excited.

They watched Professor Bruce's derivation process, which was as elegant as poetry!
Those mathematical symbols seemed to have their own thoughts, flying and spinning non-stop.

"Professor Bruce is so powerful!"

Planck, Einstein and others sighed heavily.

Once again, they were completely impressed.

"No wonder matrix mechanics and wave mechanics have been arguing for so long."

"How could anyone possibly come up with this kind of proof process?"

“The best mathematicians don’t understand the best physics, and the best physicists don’t understand the best mathematics.”

"In this world, only Bruce can do this!"

"Because he is both a top physicist and a top mathematician!"

"He is invincible!"

boom!
There was a sudden cry of surprise in the conference room!
Everyone was talking about it, looking shocked.

However, Li Qiwei seemed to be in a state of ecstasy.

He was not affected and continued to derive the formula.

five minutes.
ten minutes.
A full half hour later.

call!
Li Qiwei breathed a sigh of relief.

You're done!

He raised his head and looked at everyone.

Everyone present had a look of shock on their faces.

They stared at the screen, using every cell in their brain just to understand the proof process.

Li Qiwei smiled slightly and said:

"Everyone, please take a look."

"Through a simple derivation process, I proved that matrix mechanics and wave mechanics are strictly equivalent in mathematics."

“So, there is no so-called orthodoxy among them.”

"Both forms are orthodox in quantum mechanics."

"It's just that one describes the electron from a particle perspective, and the other describes the electron from a wave perspective."

"Different paths lead to the same destination."

After a while, everyone gradually came back to their senses.

Snapped!
Lorenz was the first to applaud.

Then, the rest of the people applauded at the same time.

The sound is like thunder!
"Wonderful!"

“It’s so exciting!”

"Professor Bruce has never disappointed anyone."

In real history, the mathematical equivalence of matrix mechanics and wave mechanics was achieved by Schrödinger with the help of top mathematicians.

And now, Li Qiwei has proved it on the spot.

You can imagine how shocking it was.

Today's discussion ended in such a dramatic way.

And it has such a perfect ending.

This made everyone feel extremely happy.

Schrödinger and Heisenberg were so excited that they couldn't calm down for a long time.

At this moment, a shocking picture appeared in the eyes of both of them.

Schrödinger holds a space-time wave interferometer.

With a light wave of his hand, the universe shattered like glass, revealing a gorgeous high-dimensional structure.

Heisenberg steps on the quantum matrix logic grid.

He stepped hard, matter decomposed, vacuum collapsed, and turned into countless extremely tiny quanta, subverting the universe.

The two were fighting hard.

Suddenly, an extremely tall and powerful figure slowly appeared.

He stabilized time and space with one hand and held matter with the other.

Space and time close, matter condenses, cause and effect are formed, and logic returns.

It's as if the universe has been rebooted.

"I am the true God of Quantum!"

boom!
"Professor Bruce, it's so scary!"

However, Li Qiwei just smiled faintly.

This is just the beginning!

(End of this chapter)