599 Furnace of Souls (1/2)
Lucien replied rather innocently. ”I was inspired by the amazing result that electrons had the features of waves. So, I modified and abandoned some thoughts I had in the past.”
”You resolved the orbit problem by regarding them as waves?” Fernando knew that quantized orbits would be inferred naturally if so.
Lucien shook his head. ”The problem might be resolved in such a way, but I have some other thoughts. If they don't walk out, I'll reconsider from the perspective of waves.”
”You are not comparing electrons to waves?” Fernando had always been serious in arcana discussions. He wondered what Lucien could have possibly come up with from the experiment.
Lucien said rather cautiously, ”It's the epistemology behind the phenomenon. Like I said before, the problems within the atom should only be handled based on the phenomena and results that can be observed. We cannot consider the previous concepts that are not directly observable, such as orbit, as our basis, as we can only describe electrons as matter with the features of waves and particles.”
”Then you inferred it with mathematical tools?” asked Fernando rather interestedly.
Lucien nodded. ”Yes. I ignored the arcana significance of certain things and associated problems within the atom with the problems in reality through mathematical tools.”
”Didn't you say that the microscopic realm could not be associated with the real world?” Fernando was puzzled.
Lucien smiled. ”That's why I used mathematical approaches. The microworld and the real world indeed abide by different laws, but when the laws of the microworld are extended to the real world, our observation will agree with the classical laws. Otherwise, it will be inexplicable why we exist in reality instead of turning into waves. Therefore, we should not consider the arcana significance of the laws but focus on constructing a model that is similar to classic theories with pure mathematical tools, making the solution identical to the experiment, before we discuss the actual significance of the model.”
”This is the most primitive and classic approach, but we have long forgotten it,” Fernando remarked with mixed feelings. In the beginning, before the concepts took shape, many theories had been constructed based on the explorations and experiments via such means. There were functions first before the actual significance of functions was discussed. However, as there were more and more theories and concepts, while it was easier for the arcanists to explore the world with previous concepts and definitions, they were also restrained by such ideas in the meantime. ”Where do you plan to begin?”
Lucien did not hide. ”From the sum of the information in the atomic system that we can observe or the general status of the system—if you will—I will introduce a state function and use the observable arcana concepts as operators. By operating and changing the state function with it, I will have corresponding results, which must be a match with the experiment results.”
Fernando was silent for a while as if he were considering what Lucien meant. In the end, he could only compliment, ”A very amazing idea. Introducing the state function in thermodynamics into the atomic system, and regarding the observable arcana concepts as the operator, those are inspirations that only the avid lovers of mathematics can come up with. However, cold and complicated math models will never be generally accepted until they reveal their arcana significance.”
He did not ask for more details since Lucien didn't ask him, because it was Lucien's work. ”You've found a new approach. You should be able to construct a theoretical system soon. I look forward to your bringing good news to my studies.”
”Master, what are you working on?” asked Lucien curiously.
Fernando said gravely, ”Two directions. The first is the abnormal splitting experiment. I discovered that it could only be resolved by introducing a half quantum number, which doesn't agree with our understanding that quantum numbers can only be integers. The second is that I was inspired by my previous studies and believed that there can't be two identical electrons in an atom. That is to say, at least one of their quantum numbers is different.”
So far, three quantum states regarding electrons had been discovered.