Tuesday, July 27, 2010
Science Journalism Failure #4,964 - The "God" Particle
Monday, July 26, 2010
The Birth of US Space flight, 60 years ago...
The Best Science TV is not on Cable...
Wednesday, July 21, 2010
The Greatest Dispute in Science, Part 1: A Perfect Circle
I do not pretend for to know the answer, nor will I claim one. What I will do is discuss the fascinating battles and theories that have taken place over the years. The battles won and lost on both sides. While most of us make our arguments with books, religions, history and anecdotes; we'll be focusing on how science has waged these battles, the only place where solid evidence and the scientific method serve as referee to constrain the participants’ arguments.
We are going to start with something simple:
Humanity's search for perfection in the form of a circle.
First of all, π is a number, pure and simple. It is not a formula and it means nothing more than the number it represents (3.1415…etc). Its simply much easier to refer to this inconveniently long number as an old Greek letter (anybody with a very long name can sympathize with early mathematicians).
Obviously, there has to be something special about this number, since its one of the oldest numbers in human history. Ancient Egypt and Babylon knew it was a little bigger than 3, but they couldn’t figure out the exact decimal representation. Over 2000 years ago Archimedes of Cyrus was able to figure out the best approximation of π which lasted until the 1800’s, when William Shank calculated it to 527 decimal places (in a time long before computers and calculators no less).
Why all this devotion to a seemingly random number?
Perfection.
You see, in order for a circle to truly be a circle, its MUST have the exact number of π describing the ratio between the circle’s diameter and circumference. My favorite graphical illustration of π is below:
You see, we can easily measure a circle's diameter. With the advent of flexible or clothe rulers (like the ones tailors use), we are also able to accurately measure the diameter of the same circle. However, unlike other basic shapes (squares, rectangles, triangles), these measurements do not easily provide us the area of the circle. For this calculation, we need π.
Area of a circle = π multiplied by the circle’s radius, squared.
Without knowing π, we can never know the true area of a circle. So it was important for mathematicians to discover this number so people could know things like land area for early circular shapes (coliseums…etc). Unfortunately, finding this number precisely, has taking the smartest human brains thousands and thousands of years to determine.
The end of this story is not a very satisfying one for many people: the exact number of π does not exist. In fact, the true amount of decimal places extends to infinite. Which in turn means humans can never make a perfect circle. We can never know the exact amount of area within a circle. Therefore, early mathematicians learned that in the case of geometry, the ultimate and most advanced mathematical tool of the day, perfection does not, cannot, and will never exist.
This ultimately makes sense in one crucial way: a perfect circle is not provided to us, anywhere, in the known Universe. No planet is perfectly circular. No orbit is perfectly circular. Nature, it turns out, might be a chaotic and haphazard place, the idea's of perfection and order were disappearing; A frightening idea indeed to most people in the ancient world.
Tuesday, July 13, 2010
The Smartest Man in Human History
That’s right I said it, but don’t take my word for it. Listen to Astronomer/Physicist and fellow science ambassador Dr. Neil Tyson discuss Sir Isaac Newton in this TIME special:
Much like Einstein’s famous E=mc2, the reigning champion in the realm of famous equations prior to Einstein was Newton’s F=ma. An even more elegant and simple equation since there is no square involved.
Last time we provided an example of how to “read” and equation in English. Lets try this again with our second most famous equation in science history:
Translation: “The force (F) on any object must be equal to (=) the mass of the object (m) multiplied by the acceleration (a) of the object”
This may seem painfully obvious to you, but at the time, this was some mind-blowing stuff. Acceleration can be an abstract idea to some, so let's clear this up right now. Acceleration is a rate. It describes the change in velocity of an object.
Newton’s concept comes down to a firm base in position of where something exists in space. A simple concept that we all are quite used to. “My car is parked in the garage” is an example of a position of an object. You could also say, “my house is on 101 Newton Avenue”, but there’s a big difference between a car and a house: a car moves!
Since you car actually moves from time to time, its position must change. The rate of positional change of your car is known as velocity (or speed). If we take this idea one step further, we can determine the rate at which an object changes its speed over time. This rate is known as acceleration. A car cannot move without accelerating first, and it cannot stop without decelerating.
Back in Newton’s time, the distinction between speed and acceleration wasn’t very clear to most people and many actually considered them the same thing. Newton however, realized something amazing: of these 3 (position, velocity and acceleration) the human body can only “feel” acceleration. You feel the same whether you are sitting in your house or at work. If you were riding in a car on a perfectly smooth road with your eyes closed, you would not sense that you are moving at all! The only way to know you are moving would be using your eyes. However, when you accelerate or decelerate, you can “feel” it. Your body is forced into your seat when you are accelerating. A force therefore is something you can physically feel.
Newton correctly, and for the first time in history, realized that the force you feel on your body must be directly related to your body’s acceleration. Conversely, in order for an object to change is velocity (speed up or slow down), it MUST experience a force. Sometimes the force you experience is a bad thing…in a car accident, the force that hurts you is due 100% to how fast you decelerate to a stop.
But Newton also realized that mass plays a large role in this relationship because the heavier an object is…the more force it takes to speed it up and slow it down. So as you can hopefully see, there is something oddly fantastic about this because it describes something visceral and basic in your experience as a human being: the sense of physical feeling. Anytime you feel motion as a human being, you must be accelerating in some fashion.
Believe it or not from this formula, spawned forth all modern forms of travel, machinery, weapons, our understanding of the solar system, and even how we measure the passage of time! If it wasn’t for Newton, it might have been another 1000 years before this law of nature was realized, and we’d still all be travelling by horse, never going more than a few miles away from our homes…
...An interesting Newton Fact: The smartest man to ever live wasn't smart enough to avoid the 18th century's largest economic bubble when he lost over a million dollars (in today's money) when the South Sea Company's stock crashed in 1722.
He later remarked: "I can measure the motions of celestial bodies, but I cannot measure human folly."
Keep this in mind any time you here economists who believe they actually know how the economy works. If Newton couldn't figure it out, its doubtful anyone else can.
Saturday, July 10, 2010
So just why is this Einstein guy famous?
Everybody knows this guy. It doesn’t matter if you are a scientist, engineer, musician, athlete or an office worker. Albert Einstein is amazing simply for the single achievement of becoming the “rock star” of scientists. The only other scientist to ever come close to his level of world wide fame might be Sir Isaac Newton (whom we will introduce next post).
So why all the fame? Do you know just what it was that made this guy so great? Sure he’s smart, but there are tons of smart scientists out there that are virtually unknown (in fact most of them are pretty obscure).
Here’s one reason:
E=mc2
One of the most simple and elegant science equations ever written. Only 3 letters (variables) and one is usually always constant (c). But why? What does this equation mean? Just why is it so important?
First off, since this blog is written for those with no science and math background, lets make sure we understand just how simple and easy a math equation is to understand. I know, most math equations look like greek to most people, but they are actually very easy to comprehend by anyone, way more easy than learning another language (the author is currently learning French).
So, lets start off by translating this equation into English. After all, every math equation is just another form of a “sentence” expressed in the language of algebra.
What this equation says in English is simple: All the energy (E) in an object has to be equal to the amount of mass (m) in the object multiplied by speed of light (c) squared.
(Notice how math reduced all that text down to three letters with no loss of meaning. This is one reason why math is considered the "universal language")
A “square” is a simple concept you learned way back in grade school. It’s a number multiplied by itself. So the square of 8 is simply 8 times 8, which equals 64. Here’s the deal, the bigger the number you are squaring, the bigger the total square is going to be. In this case, “C” is the speed of light, which is an amazingly big number: 671 million miles per hour to be exact. Think about that for a minute, how fast does your car go? This can only mean that when we square this number by multiplying it by itself, we are going to be left with one insanely huge number: 450,241 TRILLION. That’s a hell of a number. One that the human mind, even Einstein's, cannot truly comprehend.
So the basic idea here is that “c2” is big…really, really, really big. Now what happens when you multiply this huge amount with any other number (in this case, an object's mass)? Even if the number is very very small you will still be left with a huge number in the end.
So what this equation is saying is that there is a hell of a lot of energy stored in even the smallest amount of matter. So much energy in fact, that if you could release it, you’d end up with this:
That’s right, nuclear fission is the process of splitting apart a very small amount of matter (just a couple of atoms). Most of that matter is released in the form of “radiation”, which for our purposes is the same thing as energy. Light, heat, gamma rays, x-rays…etc are all forms of radiation or energy. We see the light and feel the heat from the explosion; we don’t see the huge amount of energy that is released as harmful radiation. But its in there.
This is what Einstein is partly famous for (we’ll get into some other cool things later).
But the basic understanding here, that everyone can easily understand, is that Einstein discovered a basic law of nature. A law that states that every little bit of matter that exists in the universe is actually an extremely dense form of tightly packed energy. A similar (but not entirely accurate) way to think of this is: matter is like energy that has been “frozen” down to a really small space.
Now, the next time you see a picture of Einstein, watch a video of a nuclear explosion or see the most famous equation in the history of science, you'll know exactly how they are all related and exactly what they mean. In fact, you now have the same understanding as a scientist...just with out a lot of the math that was used to prove it!