The beautiful world of mathematics

"Because the world is spiraling upward

Among them

π governs the spiral

e governs the ascent"

π governs the spiral: π is the ratio of a circle's circumference to its diameter, representing cycles, periodicity, and infinitely non-repeating winding.

History, seasons, economic cycles, and even personal growth all resemble revolving along a circular path, but each cycle is not a simple repetition. Instead, like the digits after the decimal point in π, they extend infinitely without repeating, forming a "spiral" trajectory—returning to a similar point but at a new height.

e governs the ascent: e is the base of natural logarithms, and its function e^x has a derivative equal to itself, representing continuous, self-reinforcing exponential growth.
Technology, knowledge, compound interest, and even the progress of civilization often follow this "upward" model—where the rate of change is proportional to the current state, accelerating as development progresses, forming an upward trend line.

Combining the two: the spiral (π) provides the path and pattern, while the ascent (e) provides the power and direction. This may be the wonderful essence of the world's evolution—within the cyclical oscillations and regressions (π), there lies an irreversible, cumulative upward force (e).

This is a poetic philosophical view of mathematics.