The Mathematical Order Inherent in Our Universe
There is a mathematical order inherent in our universe that can be observed and studied. Take, for example, a river. If we measure the length of it and divide by the direct route from the start to the end, we will get its synyosity or bendiness. We found that the average sanyasa T of every single River in the world is pi, the same mathematical constant used to calculate the mass of an electron. This suggests that there is a hidden order at play, one that governs the behavior of rivers and other natural phenomena.
The Gentle Breathing of a Baby
The gentle breathing of a baby also helps define how bendy all rivers are. The digits never end and never show a pattern, but they can't possibly be random because they represent the inherent order of so many things in nature. This is a fascinating observation that highlights the complexity and beauty of our universe.
Surface Tension and Wetness
At a smaller scale, we can observe that this drop of water is a liquid, but depending on how the molecules are arranged, it could also be a solid or a gas. Only if it's liquid, though, does it possess the emergent property of wetness. This specific arrangement of molecules caused by surface tension gives it the ability to behave in a certain way. If we were to arrange these water droplets together in a certain way, we could get a waterfall. All waterfalls across the world fall at the same speed because they are all subject to the same acceleration gravity.
The Navier-Stokes Equation
The navier-stokes equation describes how all fluids, like the water in this waterfall, will move and behave. It also explains everything from how blood flows in our body to how we can best simulate water in video games. This equation is a fundamental concept in understanding the behavior of fluids and has far-reaching implications for many fields of study.
The Shape of Tree Branches
Even something as seemingly random as the shape of tree branches has order. The main trunk of a tree will grow until it produces a branch, which then branches into two more stems. This pattern is repeated for every new stem, creating a complex and intricate network of branches. We can model this using the Fibonacci sequence, where each successive number is the sum of the previous two.
The Golden Ratio
The Fibonacci sequence gives us a famous constant called the golden ratio. This ratio appears everywhere in nature, from the seed pods of a pine cone to the formation of waves in the ocean. It's a remarkable example of how mathematics can describe and understand the natural world.
Mathematics and Living Things
What makes something alive or dead? The difference between a living bird and a dead one isn't that we're adding some secret life juice to it; its state depends on the specific pattern of its molecules. Many birds use celestial objects like the Sun or stars to navigate their flight path, which requires some trigonometric calculations but is not conscious.
Mathematics as a Language
Mathematics is just the language that helps us interpret all this activity. It's the framework we use to reason about what the order behind these patterns could be. We can use beauty, the beauty that's all around us, as our torch in this journey, following it with the belief that eventually it might just lead us to truth.
Hiking and Reflection
As I write this article, I'm here in Portland Oregon, hiking and reflecting on the wonders of our universe. I hope you guys liked the video from the last coding challenge, which was won by Vishal Bhature. He's the badass of the week! And to all those who participated, a big thank you for taking part in this community.
The Video and Holiday Greetings
This video is meant to relax and take a breather. It's not about solving a complex problem or achieving a specific goal; it's just a moment to appreciate the beauty around us. As we move into the holiday season, I want to wish you all happy holidays, with love and appreciation for everything that makes our lives richer.
The Next Hike
For now, I've got to go hike up to a waterfall. It's time to get back out there and explore more of nature's wonders. Thanks for watching!