Chapter 5 Circumference
The four of them looked at each other, and they could see the surprise and incredulity in each other's eyes.
Jiang Zi hesitated for a moment, "I think this number seems to be ...... Napierian logarithm? ”
Among the four people present, he had the lowest education, as the repairer and repairman and station manager of Cassini Station, he usually did the most manual work, and could not intervene in academic questions.
Liang Jing, Lou Qi and Hu Donghai exchanged glances, none of them dared to judge at will, but this string of numbers is really too famous, don't say it is Jiangzi, even if a student who has just graduated from middle school is standing here, he can recognize it at a glance, and the number on the screen is the natural logarithmic base e.
"Coincidence? Director Hu, this is a coincidence, right? ”
"Can it be more precise?" Hu Donghai raised his head, "Da Bai, can this number be more accurate?" ”
"Director, how many more digits do you need to be exact?"
"Do what you can, to the limit."
"Okay, please don't touch the sample again, take a step back." Dabai's gentle voice came out of the loudspeaker, "I'm debugging the light pressure quality inspection ......"
A few minutes later.
"The debugging is completed, the weighing is completed, and the result value is in line with e."
"How good does it fit?"
"A perfect fit within the measuring range."
The four took a deep breath.
"Exactly matched, nothing wrong?"
"Yes, at least within the range of a precision light pressure scale."
"Can it be more precise?"
"I'm sorry, Director, I've been accurate to 10∧-18 kilograms, and the existing hardware conditions are no longer possible to further accurate measurements."
Dabai's voice is very smooth, it is an emotionless artificial intelligence after all, and will only faithfully complete the task.
"If it's really the constant of nature e." Liang Jing asked, "What does this mean?" ”
"Impossible, absolutely impossible." Hu Donghai shook his head, "E is an irrational number, it only makes sense mathematically, how can it be measured in real life?" ”
"Why doesn't it exist?" Jiang Zi interjected, "If I draw a square with a side length of 1 centimeter, isn't its diagonal length √2 centimeters?" ”
"Mathematically this is of course true, but in actual engineering measurements you can't really draw a square with a side length of 1 centimeter, √2 is an infinite non-cyclic decimal number, no matter how accurate you are, you can only approximate it infinitely, and it can't fit it exactly." Liang Jing explained, "If the accuracy of your tool is millimeter, then the √2 you draw is 1.41 centimeters, and if the accuracy is micron, then the √2 you can draw is 1.41421 centimeters, and you can be accurate forever, but there will be no end to it." ”
"The natural constant has practical implications, but it is used to express the limits of growth." Liang Jing continued, "It can appear in calculations, but it cannot appear in actual engineering measurements. ”
Jiang Zi fell silent, and he also faintly sensed the strangeness in it.
A square with a diagonal of √2?
A black ball with quality e?
No matter how precise you are, no matter how many decimal places you get to the end of the day, you will find that it matches the standard answer exactly.
What a hell of a life.
"I said brothers, let's dig it out of the permafrost, touch it around, toss for so long, is there no loss of quality at all?" Jiang Zi suddenly realized another problem, "Even if its mass is really 2.7182818 infinite non-looping, why can Dabai still match the eighteen decimal places completely?" If I knock on it, it will lose at least 0.00000000001 grams, right? ”
Jiang Zi's tongue was knotted when he read it.
"I don't know."
"I don't understand."
The other three shook their heads in unison.
In fact, what Jiang Zi said makes sense, the precision light pressure quality detector can accurately weigh the mass to more than a dozen decimal places, one thousandth of a microgram or even one hundredth of a microgram, to this accuracy, blowing will cause huge numerical fluctuations, and the black ball is dug out of the ground, the working environment is rough and harsh, Jiang Zi, a reckless man, knocks down with a pickaxe, and the granite can be smashed.
Why is it not the slightest loss of quality?
"Why don't I try?" Jiang Zi looked around, his eyes fell on the hammer on the experimental table, "Knock it on a hammer to see if the quality has changed?" ”
The three of them hurriedly stopped and made some jokes.
"Is there anything in this world that is absolutely indivisible and impossible to lose quality?" Liang Jing asked.
Lou Qi turned his head to look at Hu Donghai, who was a physicist.
"Electronic degeneracy...... Or neutron degenerate objects, whose gravitational pull is so large that it exceeds the neutron degenerate force, pressing the atomic nuclei tightly together, such a celestial body is almost inseparable, which is what we call a neutron star, but the density of a neutron star is more than 100 million tons per cubic centimeter. ”
Hu Donghai raised his stubble chin and pointed at the black ball in the glove box, meaning that if this thing was a neutron star, then it would probably be as heavy as half Titan.
"Except for neutron stars?"
"Then there is no longer any existence in the macrocosm." Hu Donghai replied, "There is indivisibility on the microscopic scale, protons and other elementary particles can be considered indivisible, or they cannot exist stably after segmentation, because quark confinement does not allow a single quark to exist, so there is no single quark or half of a proton, and quantum is the most basic unit of energy, which is also indivisible, but it obviously has nothing to do with this black ball, and it is not a proton." ”
Hu Donghai stared at the black sphere, his long scientific research work had brought him a certain keen intuition, relying on which he could often find the answer to his questions faster than others, but this time his intuition failed. Hu Donghai faintly noticed the abnormality of this sphere, which was not only physical, but also mathematical, as if it was a completely closed individual, born closed, physically and mathematically closed, without any information exchange with the outside world.
If the black ball is a circle, then humans may not be able to find its position on the number axis and coordinate system.
Although Dabai's limit can only be calculated to eighteen decimal places, Hu Donghai instinctively feels that if he continues to be precise, the answer he gets will still be e.
The natural constant e, this irrational number, this transcendent number, this number that is often active on the pen and paper of mathematicians and on the blackboard, actually appears in front of the unit of kilograms.
Hell, even the unit of the kilogram itself is artificially defined, and there is no natural concept of the kilogram in nature.
violations.
Disorder.
A strong sense of disobedience and confusion.
It's like someone has taken out the number e out of thin air and stuffed it into the mass.
But the idea was too crazy for him to say it directly.
"Let this question go for now." Hu Donghai sighed, "Let's take a look at other data...... Next, measure the diameter and circumference or something, big white, what is the maximum circumference of this thing? ”
31.4 cm.
All four of them were stunned.
They were faintly uneasy.
"Dabai, be more precise!" Lou Qi shouted.
31.41593 cm.
Hu Donghai's eyes slowly widened.
"Dabai, no matter how precise! Be more precise! ”
Dabai adjusted the measuring instrument, changed the range, and two green lasers shot out of the small hole at the bottom of the glove box, gradually approaching the black ball - it began to be more precise, and then released the results.
There was a long silence in the lab.
"!" Jiang Zi subconsciously blurted out.
31.41592653589793 cm.