A Twinkling Little Star

After returning from the Courant Institute, Shen Qi accelerated the theoretical derivation of Riemann Theorem and quantum key distribution.

The United States and China have engaged in a scientific race in this field, Shen Qi has come to deeply realize the important role that basic theories play in practical applications.

Shen Qi worked very hard during this period, going to bed at two or three in the morning every day and spending his days tackling the Algebraic Geometry section of the Hodge conjecture with Yu Lei and Ralph.

The department also had other tasks, such as teaching undergraduate and graduate students. Occasionally, Faltings would give Shen Qi a few mathematical papers and ask him to review them for the "Annals of Mathematics".

Shen Qi appears to be a busy mathematics professor; everyone knows he's incredibly busy and overwhelmed trying to prove the Hodge conjecture.

Only Ou Ye Shen Qi held multiple positions, and that the work he did during the day was different from the work he did at night.

"Qi, let's go stargazing." The night sky was clear, Ou Ye suggested going to our usual spot to look at the stars.

"Wait a minute, after we solve this Differential Equation, we'll go stargazing." Shen Qi was engrossed in his work, not even looking up.

"Sigh..." Ou Ye sighed with heartache. She knew that Differential Equation had nothing to do with the Hodge conjecture, and Shen Qi was engaged in his secret research, working day and night.

"I'll heat up a bowl of porridge for you." Ou Ye went to the kitchen, heated up a bowl of porridge, and brought it to the study.

"Impossible, did I miscalculate again?" Shen Qi pondered, holding his head in his hands, his eyebrows furrowed into a deep frown.

Finding a valid link between Riemann Theorem and quantum key distribution is an unprecedented and innovative undertaking. There were no readily available and effective supporting materials, so all the work relied on Shen Qi's imagination.

Shen Qi's initial idea was to start with Differential Equation, establish a new functional expression, and ultimately connect it to the theoretical system of the prime number distribution of the Riemann zeta function, thereby deriving a theory for setting absolutely secure quantum communication keys. This was Plan A, the scheme that Shen Qi prepared to deliver to Academician Pan.

The Plan B provided to the Courant Institute not long ago was something Shen Qi came up with on the spot in a flash of inspiration. He came up with all sorts of things, including functional integral equations and Schrödinger operators. After some fiddling, he actually turned it into an innovative theory, which completely fooled Professor Stari and others. Afterwards, they applauded and cheered, becoming fans of Shen Qi.

If you call it strategic deception, then you could call it strategic deception.

After all the deception, Shen Qi had completely fooled himself. Now he suddenly felt that Plan B seemed quite reliable after all!

Whether it's mathematics or physics, some scientists meticulously devise plans over several years or even a lifetime, only to have them proven to be wrong in the end.

Often, those flashes of inspiration that occur in an instant eventually become classic theories that have been passed down for thousands of years.

Shen Qi's body trembled slightly. He had originally intended to fight the Hu Courant Institute to buy time for himself and Academician Pan's Chinese team.

It seems that Shen Qi's brilliant Plan B may have been a great help to the Courant Institute!

"There's no mistake, Plan-A must be correct!" Shen Qi re-verified Plan-A. This damned new differential representation of the bivariate Hermite Polynomials, you have to give me a solution!

"If you made a mistake, take a break." Ou Ye scooped up a spoonful of porridge, blew on it, and brought it to Shen Qi's lips. "Good boy, have some porridge first."

"Ahem." Shen Qi drank his porridge.

"Just one more sip."

"Awooo."

"Tonight, let's not solve Differential Equation, let's go stargazing. Come on, let's relax."

"Yes, let's look at the stars. It's good that you're with me, Little Yezi."

Shen Qi picked up his 381mm astronomical telescope, left the faculty dormitory, and drove with Ou Ye to an old, desolate spot 5 kilometers south of Princeton University.

Setting up the tripod, Shen Qi and Ou Ye assembled the Schwarzka Celestron telescope together.

Under Shen Qi's tutelage, Ou Ye is now a little astronomy whiz, and she can skillfully disassemble and assemble astronomical telescopes.

"Look, this is the Orion Nebula." Shen Qi locked onto the Orion Nebula and handed the goggles to Ou Ye.

The Orion Nebula, located 1,400 light-years away, is the closest bright nebula to us and the only nebula north of 20 degrees latitude that is clearly visible to the naked eye.

The telescope revealed the delicate, hazy cup-shaped shape of the Orion Nebula, whose gentle light contrasts beautifully with three second-magnitude stars in Orion's Belt and some third- and fourth-magnitude stars closer to the nebula.

"The Orion Nebula is absolutely stunning," Ou Ye exclaimed. Then, she locked onto a target, stepped back a few paces, and offered the goggles to Shen Qi.

"Wow, Little Yezi, so you like big things. Jupiter is spectacular tonight."

Shen Qi laughed. Ou Ye's target was Jupiter, the largest planet in the Solar System.

The clouds covering Jupiter were constantly changing, with huge dark cloud bands appearing or disappearing from one place. The bright areas were actually clouds composed of ammonia. Shen Qi observed a dark ring known as "flower pattern".

The game between the two continued, with Shen Qi selecting Andromeda, Aries, and Triangulum for Ou Ye to admire. These are autumn constellations, most clearly visible in autumn.

Ou Ye liked large, bright celestial objects, and she chose Sirius and Canopus, the two brightest and second brightest stars in the night sky.

With Xingguang and his girlfriend by his side, Shen Qi forgot his fatigue and his mind became clear again.

Whenever it was a clear night, Shen Qi and Ou Ye would come to their usual spot to look at the stars, a tradition they maintained from autumn until early winter.

The most worthwhile stars to see in the Winter Milky Way are located between Orion and Gemini, extending north to Auriga.

With the help of a telescope, Shen Qi and Ou Ye were mesmerized by the dazzling band of light in the sky, with thousands of stars stretching across their field of vision.

Taurus is the ruling constellation of winter, and its brightest star Aldebaran, is the bull's eye.

Swish swish swish!

Aldebaran is flashing wildly!

Twinkle, twinkle, little star!

What does that mean?

What does this signify?

Shen Qi was drawn to Aldebaran's unusual behavior; his eyes flashed intensely, and sparks of wisdom ignited within him.

"Plan-A, the only correct answer is Plan-A! I've found the solution to the new differential expression of the bivariate Hermite Polynomials!"

Shen Qi clasped his hands together in gratitude to Taurus and Aldebaran, the winter-guarding constellations that had given him inspiration.

The twinkling of stars in the sky is explained in mythology as a sign of life, while in science it is caused by changes in air currents, which make the stars appear to twinkle to the human eye.

Whether it's the mythological version or the scientific version, Shen Qi has to thank Xingxing and Ou Ye, as they are the source of his inspiration.

While his inspiration was still flowing, Shen Qi wrote furiously, and in this more than one hundred-page derivation, he finally solved the major problem that Academician Pan had entrusted to him.

The correct solutions to the new differential expressions of bivariate Hermite Polynomials generate a new class of functions, which seem rather useless in any purely mathematical paper.

However, in Quantum Physics, these new generating functions allow physical formulas to be directly integrated.

Layer by layer, the prime number carrier enters the quantum chaotic system through the only effective path. The new rules of setting the Riemann Theorem and quantum key are extremely reliable, so reliable that even its creators may be helpless against it after it completes its upgrade and mutation.

Shen Qi made an overseas call to Academician Pan, "Academician Pan, the goods are ready. Should we deliver them to your door or have you pick them up yourself?"