In the history of human developnt, mathematics and philosophy evolved together, both possessing the common characteristic of pursuing deeper laws beyond superficial phenona.
In ancient tis, limited by humanity’s understanding of nature, gods were the supre beings, and every civilization’s history contained elents related to deities.
Gods represented human faith, and also served to explain what could not be explained at the ti.
The term ’nature’ originated from the ancient Greek mathematician Thales, who replaced the position of gods in people’s hearts with the concept of ’nature’.
This was the budding of mathematical and philosophical thought, and Thales was thus known as the ’father of philosophy and science’.
Although Thales was a theist, he believed that solving problems should not solely rely on ’gods’ but must follow ’natural laws’, using logical reasoning to address real-world issues.
First, one needed to propose a theory, then seek related argunts, and after that, use logic to prove the veracity of the theory. Old theories could be modified or even overthrown, thus forming new ones.
Under the influence of Thales’ teachings, a host of ancient Greek mathematicians and philosophers took to the historical stage: Socrates, Plato, Aristotle, Archides, Euclid.
The integrated view of mathematics and philosophy posits that what is natural is harmonious, is beautiful, and mathematics is the manifestation of natural beauty.
Against such a backdrop, a mysterious irrational number surfaced—the renowned ’natural logarithm base e’.
This is a rather interesting number; unlike π, it is not simply the ratio of a circle’s circumference to its diater.
The origin of ’e’ is much more complex, defined as follows—
As n approaches infinity, the limit of (1 1/n)^n, with the base getting closer to 1 as n increases and the exponent tending to infinity, and the result infinitely approximating ’e’.
’e’ is an infinite non-repeating decimal: 2.71828...
In modern high school textbooks, e is used as the base for ’natural logarithms’.
This seemingly complex irrational number is called ’the most natural number’ because it trades its own complexity for simplicity in cumberso computations.
Over the past several centuries, many top mathematicians have been engaged in researching the natural constant e, enhancing its applications in fields such as mathematics, astronomy, biology, and contributing to the developnt of natural sciences like physics and biology.
Two hundred and fifty years ago, the mathematician Euler proposed a famous formula—
e^iπ 1=0.
This is a captivating formula, called ’the formula created by God’.
Using the magical ’e’ as its base and the product of i and π as its exponent, it was the first ti the ’domain’ of the ’exponential function’ was expanded to include complex numbers, building a bridge between ’complex exponentials’ and ’trigonotric functions’, and linking ’mathematical analysis’ with ’complex function theory’, hence the Euler Formula is hailed as the ’celestial bridge in mathematics’.
The magical properties of ’e’ continue to be discovered; in modern science, researchers have found that the division cycle of a mature cell corresponds exactly to ’e’.
Cells are the most basic units of life, which ans, in other words, there might be so mysterious connection between e and the life sciences.
In the process of studying natural laws and the mysteries of the universe, there are many more examples related to e, and no one thinks they are re coincidences.
Now Zhao Yi has discovered that e appears in the relationship between particles and space, and when he obtained a definitive result, he could hardly believe it, but after so thought, it seed quite normal.
e is simply amazing!
If it had been any other ratio, like 2, 3, or 3.5, etc., knowing the result of the asurent would suffice, just as with the gravitational constant G, which was precisely asured as 6.67259×10N·m²/kg².
Once the exact number is asured, then the constant can be applied for calculation.
e is different.
Why, when particles are compressed by a factor of e, they reach the critical value to counteract the absorption of space.
This is certainly not a coincidence.
Zhao Yi developed a keen interest in e, confident that the ratio e was definitely related to the internal structure of particles, and possibly even to the way particles are ford, making it of significant research value.
Unfortunately, unraveling ’why it is a multiple of e’ is currently impossible.
Particles are too small.
The composition of particles is still a matter of conjecture, and even the theories completed by Zhao Yi, those concerning the composition of particles, can only be categorized as mathematical conjecture. He has established a very perfect mathematical system for particle structure, but even with causal thinking abilities, he cannot provide a definitive answer as to its correctness.
Therefore, in researching why the ratio is e, one could only proceed with mathematical analyses and fail to find the specific cause.
"This is probably the future direction, right?" Zhao Yi sighed deeply.
In scientific research, the deeper one delves, the more problems are revealed, and it’s nearly impossible to completely solve them. The only option is to conduct more analyses.
Zhao Yi has now started doing this, carrying out a series of analyses on the relationship between particles and space based on the ratio e and, after extrely complex yet beautiful mathematical derivations, eventually forms a logical loop.
A logical loop does not necessarily an correctness; it might simply be a coincidence or part of a ’perfect logic’. But through a series of analyses, he arrived at another multiple for the compression of particles—
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