Suppose you dropped a penny at exactly the same time you threw another penny sideways. Which one hits the ground first? Suppose you also dropped a quarter, what then?

If a speeding car T-bones a stationary car, can you determine the velocity of the speeding car?

In my last post, I shared a bit of my history with the "Mars Spectacular," and I encourage you to take a look at that if you have not already.

But, alas, I can't just stop at refuting this claim by demonstrating that it's been made before. No, I have to refute it with math!

Everything I write here involves learning physics, but it's time to go over some fundamental material that will serve as a foundation for upcoming posts I have in mind and provide much-needed background for one of my earliest articles.

I have gotten a couple of requests from family members for me to share my eclipse experience. They are itching to see my pictures and hear my stories, and I have been so focused on school that none of this material has been forthcoming. Until now!

No, dear website, I have not forgotten about you.

It has simply been a busy couple of weeks...

In a recent post, I calculated the \(\Delta v\) of an unladen Saturn V rocket and concluded that the maximum speed of such a vehicle, when launching from Earth, is over \(36,000\,\mathrm{mph}\). As I explained then, that is fast, *but not fast enough for our purpose!* Furthermore, as is typically the case, we want to use our rocket to carry something into space, and the addition of a payload will slow us down even more!

I am busily working on another post called *The Problem with Payloads*, within which I make that claim that for any positive numbers \(A\), \(B\), and \(C\), where \(A>B\), \begin{equation} \frac{A}{B} > \frac{A+C}{B+C} > 1. \label{081117frac} \end{equation}

For an upcoming blog post, I need to know the maximum speed that can be achieved by a Saturn V rocket—for SCIENCE!

Yesterday, I posted a detailed explanation of the technique of quantum teleportation and hopefully demonstrated that the process is not as complicated as one might expect! *And also that it is not going to lead to Star Trek transporters anytime soon.* No, unfortunately, we will have to settle for a mere quantum Internet instead.

It's been a while, but if you have followed this website throughout the past couple of weeks, then you have (hopefully) learned that

In my previous post, I used my latest invention, quantum playing cards, to give specific examples of entangled and non-entangled quantum systems. I recommend reading that article if you have not already done so, or reread it if it has been a while, for today I am going to expand upon that example and use it to introduce a bit of mathematical formalism, which is necessary for our ultimate goal of understanding quantum teleportation.

Not too long ago, I introduced the ideas of entanglement and wave functions with the ultimate goal of explaining quantum teleportation. I also wrote about how I have been too busy to post recently, and how I am therefore anxiously yearning to return to this topic. Since that post, I have been writing as much as I can and feverishly subjecting myself to a crash-course in JavaScript to come up with examples that I think nicely illustrate the basics of quantum entanglement. Hopefully, you will agree and by the end of this post poses the fundamental knowledge necessary to understand this phenomenon.

Yesterday, I introduced the concept of wave functions, which encode all of the information about a quantum system. Specifically, we can use them to derive the probabilities of different outcomes of a particular experiment.

Yesterday, I wrote about research in which scientists teleported quantum information from a laboratory to a satellite in Earth orbit. Today, I would like to describe the basic physics of quantum teleportation and explain a few details about this particular experiment.

Recently, this article has been making the rounds on social media. It's a reprint of this article, which cites this article, which reports on this research. I recommend clicking those links and reading them for yourself, but the headlines are the most important things to note:

The time has come to post some real material to this site—a simple exploration of physics that will (hopefully) build audience interest and help me learn techniques of generating math-laden web content. After spending the last couple of days mulling over which one of my little projects would be the first one I share, the answer came to me late last night in the form of a text message from a friend:

I claimed that my last post was not going to be foundational, and then I went an wrote about pretty much everything which lies at the foundation of classical mechanics. Now it’s time I feel to distill all that down to the bare fundamentals, without the wrapper of a falling coin that my previous post provided.