physics

The amount of apples can be represented by a number $1,2,3\ldots$. The length and time can also be represented by decimal/real numbers $1.3, \pi, 3,\ldots$. The phase of an electric circuit can be represented by complex numbers! In this sense, physics is useful by abstracting away our world into the world of math. Beyond numbers, another mathematical object is used to represent things like velocity and position. This is the humble vector, an object with both magnitude and direction....

Unit Conversions 1 meter = 100 millimeters = 3.281 feet = 39.37 inches. This is an example of unit conversion. Sometimes, unit conversion is used to convert quantities from an unfamiliar unit to a familiar one. Currently, 1 US Dollar is equivalent to 151 Japanese Yen1 2. At times, the change of unit is for clarity, to express quantities of large or small amounts into comprehensible numbers. For instance, instead of several thousand steps, I find the unit of several miles3 more graspable....

I was watching a youtube video 1. The video was about the speed of light in a medium and I think it would intresting to do some relaxing programming with Julia. Specifically, I would like simulate some light propogating media with varying dielectric. This post will go with the following steps. Derive the equations from Maxwell’s equation in a dielectric. Simulate the wave equations. Explore! From Maxwell’s Equations Here are Maxwell’s Equations known in a dielectric in general3....

Enlightenment Two videos came out (Veritasium, Dialect) about measuring the one-way speed of light. Both are the usual fair for science videos, though Dialect is on the spicy side. For a bit of primer, the one-way speed of light is the distance traveled per time taken between two points. The two-way speed of light is the round trip distance traveled per time taken between two points. The aforementioned videos claim we cannot acutally measure the one-way speed of light....

Shoots (Snakes) and Ladders Shoots and ladders is the classic game for kids 1. The rules are simple. Each player starts with their pieces starting at the start of the board. For each player’s turn, they role a six diced dice where the rolled number is the number of spaces to move forward. To win, you must be the first player to reach the end of the board. For simplicity, we will consider reaching the end as rolling enough to move past the last position....

The Universal Number (As of current knowledge) every possibly measurable quantity can be represented with $10^{134}$ bytes (or bits). Why? First, I would like to make some assumptions! Let’s same you make a measurement to distinguish the physical states of the world. For example, a potato could of many lengths! We use rulers to distinguish which universe1 we are in such that the potato is so long. Effectively, the smallest length increment is the Planck length....