While this may sound like a joke, we rule out all the impossibilities, and the rest is a relatively correct conclusion, no matter how counterintuitive it may seem. Kaichi observed Isaac's reaction, "Light has obvious waves, and in terms of the photoelectric effect, only particle theory can explain it, so why do we have to limit light to particles or waves." However, this does not mean that light is a wave even if the particle is a wave, it can only show that light has two properties, both a particle and a wave, which can be called wave-particle duality. ”

"Wave-particle duality?" Isaac felt his mind a little cloudy, and still reluctant to accept it, "What is light? waves, particles, or something other than waves and particles?"

"I don't know. ”

"Don't know?" Isaac was surprised by Kaichi's answer, and said so much in the paper, but in the end he left a sentence that he didn't know.

"The microcosm is too small to be effectively observed, and the results we have now are only based on existing observations, and it may not be long before we have other means of observation and new discoveries, and the current conclusions are incorrect. We can't just say with certainty that the present result must be the truth, just like the new geometry, and maybe there are some special circumstances that we haven't taken into account. ”

Isaac was a little surprised, and thought back to the development of modern magic, and said, "I didn't expect you to see it so thoroughly, our understanding of magic has indeed changed a lot over the years, but isn't there an eternal truth in the world?"

"Perhaps, but it's not that easy to get. We are getting closer to the truth step by step, rather than grasping the truth, and I believe in the results of mathematical calculations more than our understanding of the nature of the world. ”

[Unless one plus one is no longer equal to two, there will definitely be no problem with the result of mathematical calculations.] Kaichi said in his heart.

"No wonder you attach so much importance to mathematics, and you came out to help Master Rod Ori in the first place. ”

"The development of mathematics is good for the study of magic, and with the use of mathematical tools we can directly derive some results. For example, using calculus, we have calculated the orbits of planets, and we have calculated the existence of new planets at distances that cannot be directly observed. ”

Isaac stretched out his finger and pointed at Jiayi, and smiled with some reserved pride, the laws of celestial motion and calculus are his proud works, and Jiayi can't refute this, and he invisibly slapped a sycophant.

"But I don't see what your new geometry can do. Isaac couldn't help but smack Kaitichi.

Jia Yi stretched out his hand and made a horizontal gesture: "Your Excellency, is the plane we see really absolutely flat? Could it be like the back of my hand, in fact, full of ravines? If the new geometry is used to build a spell model, I don't know what will happen?"

Isaac looked at the back of Jia's hand, a little stunned, is there an absolute plane, will there be a plane like an absolutely smooth plane does not exist at all?

"Put your paper with me first, I'll let others read it, and then decide whether to publish it, why your paper is so unreasonable every time. ”

Kaichi's thesis stirred Isaac's heart a little uneasy, but fortunately Magnay was not there, and he was a little glad that he didn't know how the particle nature of light would have an impact on him. Since light has wave-particle duality, then electromagnetic waves must also have wave-particle duality, because light is a special electromagnetic wave. He thought that the higher the frequency of electromagnetic waves, the stronger the penetration, which is the obvious particle nature, which cannot be explained by the diffraction of waves.

Wait until after Kaichi leaves. Isaac shouted into the air, "Zibio, please bring up another paper by Kaichi, that paper on the structure of the atom." ”

"Yes, Your Excellency. Zibio appeared in the void, saluted Isaac, and then vanished, and a paper appeared on Isaac's desk through a circle of transmissions. Isaac picked up the paper and began to read it carefully.

"Quantized orbitals of electrons, energy transitions, light quanta, energy particles..."

Isaac looked at it and thought slowly in his heart, these three papers, the three concepts in the microcosm are related, supporting each other, if it is just a single paper, then the persuasiveness will be greatly weakened, when Jia Yi first proposed the quantum orbit, most of the mages scoffed at this concept, and wanted to replace the concept of quantum orbit with other methods, but no matter how it was replaced, the loophole was much bigger than the quantum orbit.

Now that these two papers are out, the concept of quantum has at least taken root and is no longer so easy to knock down.

"It's just that the energy is not continuous..."

Isaac stretched out his hand and swung in the air, still unable to accept that the kinetic energy generated by his palm was discontinuous.

......

When Kaichi returned home, he put the thesis behind him and began to reconstruct the spell model.

The construction of spell models is inseparable from geometry, but it is not a simple matter to build geometric models in the mental space, because there is no real scale in the mental space, and there are no tools such as rulers, which makes the construction of spell models quite difficult, and all spell models require a considerable amount of calculation to ensure that the structure is correct.

The difficulty of building a spell model is different for everyone, and some people have strong computing skills or good composition talents, and can build a spell model successfully faster, and learn new spells faster. The more accurate the spell model is drawn, the more powerful the spell will be. The process of using each spell is also a process of constantly adjusting the spell model.

Previously, it was thought that the difficulty of building models by mages was due to the lack of sufficiently accurate references and rulers, so the models they constructed were not accurate enough. But with the advent of new geometry, Jiayi had a different idea, the void looked flat, but because of gravity, the so-called space was not actually a plane, but a curved surface. Since the space is flat, is the space in the spiritual sea also uneven?

Based on this idea, Kaichi used the new geometry to reconstruct the magic model in his mind.

However, until his paper on the photoelectric effect was written, the reconstruction of the spell model still yielded no results. The new geometry is already more difficult than the classical geometry, and in the spiritual sea, the new geometry also lacks scale, and even if there is a successfully constructed spell model as a reference, he cannot determine the curvature of the space in the spiritual sea, and the tension is very slow.