Sunday, July 22, 2012

Jumped The Gun! (Part 2)

Welcome back! Actually, I guess that sounds like it was more aimed towards me than you, so I apologize for that, but welcome back all the same. I'm sorry for the brief two-week hiatus as I ran around Europe with a few very good friends. Sadly I was not around to post when they discovered the Higgs Boson on July 4th, but once I finish with this post I will add a new one soon after with an update about the Higgs Boson and its importance (and the grain of salt we should be taking with the discovery). However, let us get into the nitty-gritty of today's (hopefully long-awaited) post!

If you will recall from a few weeks ago I posted concerning a new idea I had and one that I might want others to simply reflect upon or if they had any ideas of their own or comments on what I thought that they should feel free to do so! Also, if I might add here, there is no question or comment that sounds silly. I can assure you, that no matter what level you may or may not understand what I discuss here, if there is anything I can do to help you understand better, do not hesitate to ask in the comment section below! The purpose of this blog is to bring matters that are rarely discussed into the open and to attempt to help the less-scientifically-fanatic public understand. So if you feel like you don't want to ask a question because you deem it too rudimentary, trust me, I am sure that there is someone else reading this blog that understands it only on the exact same level that you do or even less. If you do feel like this is all way over your head, the same rule applies, with the addition that I wholeheartedly congratulate you for at least reading this and making an attempt to understand it.

Okay, so I realize that was a bit of a tangent but it has been on my mind for awhile and I thought that I should put it in (maybe I should add that to the description of the blog? Thoughts?). So let us cast our minds back to the previous post (you may want to open it up in a different window to help refer to). We have established the following concepts firmly (hopefully):


  1. Creation-Annihilation
    1. This is the concept that a photon (or packet of energy) can spontaneously become a pair of particles (usually an electron-positron for demonstrative/instructive purposes).
    2. This process does happen and has been proven through the example of a Creation happening on the edge of a black hole where one particle is within the Event Horizon and therefore is trapped, leaving the other particle to fly away at the speed of light without bonding to anything. This creates Hawking Radiation (http://en.wikipedia.org/wiki/Hawking_radiation). [Actually that picture on the page is really cool....I might have to change my cover photo.....]
    3. The pair of particles, in most cases, are in such close proximity to each other that they immediately begin attracting each other through electromagnetism and contact each other again, resulting in a photon being created and the particle/antiparticle "disappearing" (Annihilation)
  2. Electrons/Positrons in a magnetic field
    1. As suggested above, electricity and magnetism are actually linked through the Electromagnetic Force (one of the four basic Forces). As such, an electron can be not only affected by an electric field, but also by a magnetic field (see the .gif from Part 1).
    2. Considering a constant direction and strength of a magnetic field, an electron will actually curve in the exact opposite direction than a positron will.
Alright, so here's where we continue (finally, right?). A few weeks ago I was thinking about Hawking Radiation and the separability of electron-positron pairs resulting from Creation-Annihilation. I figured that if a black hole could separate these pairs of particles before the electromagnetic forces attract and bring them back together, shouldn't there be other possible, more localized methods to separating the particles? So I sat down to think about it, and messed around with certain ideas, and I eventually just arbitrarily calculated the rough attractive force between the two particles (given by F = (kQq)/r^2 . Don't worry about what it means). This is not a new thing and it is fairly easy to calculate (especially, for those who understand the equation, considering that it reduces basically to F = (kq^2)/r^2 . Ignoring the fact that r increases gradually and then decreases after the splitting force overcomes the attractive force. Also ignoring the fact that we don't really understand much about the splitting angle, the splitting force, or the splitting speed. I just calculated it with a very rough frame of error.). 

After the calculations, even with the frames of error, it is a huge number (i.e. a lot of force). The basic concept from here would be that I would have to find a way to overcome the attractive force just enough so that the particles while in that close proximity cannot attract each other. So as you might already be able to guess, I turned to magnetic fields! Well, actually, I turned to magnetic fields for all of 3 seconds simply because of the fact that to get a magnetic field to match the force at least equally would be HUGE (I decided for fun to try to figure out the magnetic field strength. It's even bigger and I'm sure that I made multiple mathematical substitutions that are not even remotely doable. I didn't even try to figure out the actual number. All I know is that there are multiple variables that are to the power of four and have factors of 10^16 in the variable itself. To give you an idea, from some of my substitutions with relativistic energy calculations the final magnetic field strength had an instance of the speed of light to the fourth (i.e. c^4) which is approximately 3*(10^8) m/s to the power of four. This roughly equals a number on the order of 8.1*(10^33) or 8 decillion!!!). My theory is this: If a Creation happens in a fantastically powerful magnetic field, it is possible for the particles' attractive forces to be overcome by the magnetic field and therefore be separated similar to the Creation happening on the edge of a black hole, as seen below:

This is a drawn simulation of a Creation happening within a magnetic field. Similar to the Feynman Diagram in Part 1, the first photon line and the dotted line as the diagram progresses to the right simulates an unchanged Creation-Annihilation. With the magnetic field (denoted by the "X" marks) of a particular strength, the particles can be diverted away from each other. (Please ignore the faded lines. Remnants from doing math on the other side of the page.) [Note: To all of you that know about Particle Physics, please excuse the directions of the electron and positron. I accidentally labelled the two paths backwards. I know that in this situation the electron should curve down and the positron should curve up. Forgive my grave mistake!]

SO WHAT IS THE USE FOR ALL OF THIS?!


Well actually, not much at the moment. Practically, without the use of superconducting magnets this would almost be impossible to accomplish. Also, it is not the easiest thing to nail down these Creations. They happen (as far as we know) on a very random basis. The most that we can do to increase the likelihood of these Creations is to manipulate the light beam that we use to attempt to "spawn" particle-antiparticle pairs. Making the photons in the light more energetic is one method (this is done by increasing the frequency of the light). For example, a blue light is more "energetic" than a red light, simply because the frequency of the light is greater (infrared is the least energetic light spectrum, while ultraviolet is the most energetic light spectrum). The greater abundance of energy makes the Creation (conversion from energy to matter) much easier and much more likely to occur. Another method is to make the light beam more intense. This does not, in fact, increase the energy of the photons. However, what it does do is make the Creation more likely to occur.

Let's put it this way to make it easier to understand. You have some fairly-weighted coin; let's say a quarter for demonstrative purposes. You have a 50% chance of getting Heads and a 50% chance of getting Tails. If you flip the coin once every 5 seconds, you will have a 50% chance of getting Heads and a 50% chance of getting Tails once every five seconds. But now take a second, equal quarter. Your four possible outcomes if you flip the coins simultaneously are (where H is Heads, T is Tails): HH, HT, TH, TT. If you flip the two coins simultaneously every 5 seconds, now you have a 25% chance of getting each possible combination. But let's say you only really care about getting a result of Heads. So now instead of you considering both Heads and Tails, you're now considering either whether you get a Heads or not. In the first situation, with only one coin, you have a 50% chance of getting a Heads every 5 seconds. But now when you look at the second situation, it's changed! Now out of four possible combinations, THREE of them result in you getting at least one Heads and only ONE result of you getting no Heads. So now the chance of you getting at least one Heads every 5 seconds jumps up to 75% chance. This pattern continues almost on an exponential level, where with three coins you have eight results (HHH, HHT, HTH, HTT, THH, THT, TTH, TTT). So your chances are now 82.5%! This increases more and more with every added coin.

So now let's consider the Creations again. Let's say that the coin is now a photon. There is some ridiculously small probability that it will cause a Creation and split into a particle and an antiparticle in a particular frame of time. You can say that for every "x" seconds, the photon will cause a Creation or it will not (heads and tails). You don't really care how many of each you have, or in what order, but what you really want is at least one Creation, if not more. So you start adding photons. Now you have two, or three, or five, or ten, or a hundred, or a million. Even though the probability for a creation is tiny, the more photons you have, the more "opportunities" there are for at least one photon to cause a Creation. Ideally you would want many more, but generally we wouldn't want to look a gift horse in the mouth.

The main question that arises first from this is: "Well, we have things like lasers, blue flashlights, and LED lights that will make you practically blind, why don't we see this everyday?". There are two answers. First, you don't see this everyday simply because this happens on an extremely small level, definitely not visible to the naked eye. So don't expect to see electricity shooting out of your flashlight the next time you turn it on (although if you do I would recommend either getting yourself or your flashlight checked out....). The second answer is because air exists. Yes, it's a strange answer, but think about it. The likelihood that a stray electron or positron would simply miss every single atom of oxygen, nitrogen, etc. in our atmosphere is nonexistant. So if for any random reason a photon were to cause a Creation, the particle or antiparticle or both would either interact with each other or the atmosphere first before being even remotely measurable. The reason why we know these Creation-Annihilations actually exist is because we've created them in particle accelerators and we've observed the resultants from deep space, where the average atomic density is about 1 atom per cubic meter of space (or vacuum to be precise). So to even use magnetic fields on a light beam and expect results, this would have to be conducted in as close to a vacuum as possible.

The Possibilities Are.....Endless?


So let's take the situation where you have a high-intensity, high-energy light beam (most likely an ultraviolet laser) traveling through a superstrong magnetic field in as close to a perfect vacuum as possible. The most mundane application I can think of using this is to simply analyze the creation of different pairs of particles (electron-positron are the most common as they require relatively possibly the least energy). Theoretically anything can be created out of a Creation (as long as it is a Fermion [i.e. any combination of quarks, electrons, taus, and muons or any antiparticle thereof]), but the more mass involved in the particle-antiparticle, the more energy is required to cause such a Creation.

The most interesting idea I thought could be done with this, is if an object were placed such that the path of the positrons from the Creation were aimed at the object, it could be imagined that this light beam/supermagnet setup could initiate disintegration! Most atoms have a strong outer "valency" shell of electrons, which serve not only to repel the electron valency shells of other atoms, but also to "shield" the positive charge of the nucleus, which could attract the electrons in a valency shell of another atom. When a positron comes into contact with an electron, it is the same thing as an Annihilation. The electron-positron collision results in the two particles being "turned into" (usually) two photons, which then speed off in some unknown direction. If you have two atoms that are close to each other, the electrons in the outer shell keep the two atoms away from each other (or at least their respective nuclei). When you break down the shells, the positive charges of the nuclei start to repel each other much stronger than the electrons do. If you had a cluster of nuclei with no electrons, once you stopped constraining them, they would explode away from each other due to repulsive positive forces.

So think of this: Now you're directing a (hopeful) stream of positrons at a normal object, composed of normal atoms. When the positrons start hitting the shells of electrons, they break down. The nuclei of those atoms repel and break away. You essentially are letting the forces of the atoms themselves break the object apart. It would be similar to cutting diamond without actually putting any physical pressure on it. You could technically cut a straight line through the diamond (second hardest substance known to man, basically) and not put a hair of detectable physical pressure on it. If we could actually viably create a situation where this Creation-splitting effect created a stream of one type of particle or antiparticle, we could basically have a disintegration ray (sci-fi-esque, I know, but still....)!

As always, comments, questions (of any caliber), suggestions, complaints, short-orders, jokes, and rhetoric are more than welcome! I have now set up an email account for those of you who want to keep your questions private or if you aren't comfortable with asking openly on the account. You can email me at universalranking@gmail.com and I will answer you as fast as humanly possible. I swear that if I use your suggestion or question as a jumping-off point in a new post, I will not (unless otherwise stated) mention you directly or otherwise. You can retain complete anonymity. But as always, you can comment anonymously anyway, but if email is easier for you then by all means that is fine!

Thank you for reading, hope you enjoyed it, and pass on the blog to those who would be interested!

-- J

EDIT: So, in the midst of researching and brushing up on a few theorems, I discovered the term Delbruck Scattering buried in a list of relevant terms to what I was searching for. It's a cool effect, and I'm somewhat relieved because it's not quite the same thing as what I discuss here. But if you've got a mind for Quantum Electrodynamics, I'd recommend looking into it (http://en.wikipedia.org/wiki/Delbruck_scattering). 

Monday, July 2, 2012

Jumped The Gun! (Part One) [No Rhyme Intended] {Hope You're Not Offended}

Welcome back everyone! I've decided that in honor of last month's tenth post on this blog, I will introduce a new type of post here! Hopefully everyone enjoyed the last post and if you want me to analyze particular works, etc. feel free to let me know (comment box is below every post as always)! But I've had a somewhat crazy idea over the past few days and I feel that I should share it with everyone. So I will put it up here and see what you guys think (and of course I will explain everything as necessary as I go). Most likely this will be a two part post, as it's a big idea (it's even going to be *dunhdunhdunhhhhhhhhh* MULTIMEDIA!)! So let's begin shall we?

First, let me explain why I named this post "Jumped The Gun!". Approximately two days after I started thinking about this problem, I noticed an article on the Popular Science website (http://www.popsci.com) detailing a new weapon introduced by the military. It is based on the concept that a high-powered laser will ionize the air that it passes through, essentially making it a perfect electrical conduit. The high-powered laser is then immediately followed by a massive release of electrical charge, forming a highly controlled lightning bolt. The bolt's easiest path happens to be the perfect line of ionized air particles, and so the lightning follows the path that the laser took, striking whatever the laser beam ended up on. It uses the same natural principles as lightning, except that lightning follows a randomized pattern and more or less only by coincidence. While fairly impractical, it is a really cool idea, and yet it doesn't quite get to the heart of my idea and the principles it uses. Let me premise my post by saying that I know perfectly well that if my idea had any feasibility, someone else must have thought of it before and discarded it.

So what is the concept behind the problem? Well let's consider one of my previous posts, where I discussed particle-antiparticle creation-annihilation (http://universalranking.blogspot.com/2012/02/continuation-theory-on-dimensional.html). I never fully discussed where the creation comes from beyond "random energy" but there is actually one key point that I should clarify. When I said energy, I really meant small quantized packets of energy, also known as photons! So when I state that particle-antiparticle pairs are spontaneously created from packets of energy, I mean that actual photons spontaneously "turn into" bits of matter. One of the most common of these pairs is an electron and a positron. The positron is basically an antimatter counterpart of an electron. It has the same exact mass, and the same magnitude of charge, but the alignment of the quarks is exactly the opposite of that of the electron and therefore the direction of charge is exactly the opposite (positive). When a positron and an electron come into contact, they annihilate (as stated in the "Continuation" post) and create (usually) a pair of photons. The exceptions to that case include though the annihilation to a single photon, but usually this only happens when the creation comes from a low-energy photon (more on why that is in a bit).

We are going to assume for this post that there is a single photon creating an electron-positron pair that immediately annihilates to another single photon (for simplicity's sake). And now we get to the multimedia!
Cue Diagram 1!


Yes, it's a hand-drawn diagram (only the best for the people that actually read this blog!)!

So before you confuse yourself trying to decipher what this is, let me make it easier. This diagram is known as a Feynman diagram and is used to show the interactions of particles through time. One thing to immediately note is the "Time" axis along the top pointing to the right. This means that the particle is changing as time passes, not necessarily as it "moves to the right". That is pretty much the only really difficult concept to wrap your head around which is not necessarily thinking of the particle moving. Theoretically it could be completely still in space but it would still be diagrammed as above. So what does this diagram show? It shows a photon suddenly turning into an electron and a positron, which then a little later collide together, resulting in another photon. For those who want a little more information, the Electromagnetic Interaction Vertex Strength is how relatively strong or likely the reaction will be compared to the other three fundamental force reactions (Strong Force, Weak Force, and Gravity). So the strength/probability of this electromagnetic interaction is about 1/137th of that of the strongest type of interaction force (the Strong Force). To give some measure of comparison, the strength of gravity relative to the Strong Force is about 1/(10^39) or 1 over 1 with 39 zeros after it!

So back to the point. This diagram shows what actually can happen to a photon randomly, and it is the case I would like you to keep in mind (refer back to the diagram if it gets confusing at any point). One difficulty with this scenario is that the photon has to have enough energy to make this happen (in more technical terms, the Energy of the photon [given by E = h * f , or Energy = Planck's Constant * frequency] must be at least twice the rest mass of an electron for the interaction to occur). The spontaneous creation of an electron-positron pair is not definitively known as of the present, however the annihilation is simply due to the fact that the electron and the positron are attracted to each other intensely due to their opposing charges. They therefore collide fairly quickly after the point of creation due to their close proximity. The only known instances of this principle being violated was detailed in the previous post (when the creation occurred on the very edge of a black hole). The point of all this was to set up and demonstrate what can and does happen in real life and the basis for my idea!

So here's the other part to consider in the idea. Electrons (and positrons), as well as being affected by electric fields, are affected by magnetic fields! However, whereas electrons (and positrons) are attracted usually in straight lines by electric fields, magnetic fields affect electrons in different ways. In this case, a magnetic field going away from the viewer at a 90-degree angle to the path of the electron (or positron) forces the electron in a curve (and eventually in a full circle if the magnetic field is strong enough and large enough to encompass the circular path of the electron) such as in the following way:


The small pluses on the square indicate a magnetic field going away from the viewer. If the pluses were replaced by dots, that would indicate that the magnetic field was going towards the viewer, and consequently the path of the electron would curve in the other direction. The path of an electron in the opposite direction of magnetic field as shown above would accurately represent the path of a positron in the magnetic field shown above. In simpler terms, the path of an electron and the path of a positron are exactly the opposite in the same magnetic field.

Here is where part one of this post ends. If you can catch a glimmer of where I am going with these ideas, feel free to speculate below or ruminate on it by yourself! As always, if you have a comment, a question, a suggestion, or any digression, let me know below or on Facebook! I will be glad to field any of the above (bonus points for rhyming).

If you like the new style of post (me sharing random brainchildren) then definitely let me know! If you hate it, let me know as well! Comments and questions are always appreciated and help me to expound on what I need to or to delve into new and exciting implications!

And finally I have a challenge for each and every one of the people that actually read this post. It is as followed and not meant to be an annoying solicitation. The frequency of my updates generally relates to my readership. I am encouraged when I see a spike in page views and the more I see, the more I feel obligated to update more often. So here's your challenge if you're reading this. Go out and tell one (or more if you want) friend that you think would be interested in this kind of subject matter about this blog. Give them the link to the blog. If you want to help out even more, tell them to tell one (or more) of their friend(s)! The more the merrier (and the more posts)!

As always, thank you all who read this, and I will update with the second part of this post (and the actual meat of my crazy and probably already-discarded idea) once I return from my Eurotrip!

--J

Monday, June 18, 2012

Just A Thought... (A Long Thought...)


Welcome back everyone! I'm sorry that I haven't updated in awhile (part lack of material, part being busy with everything else). So I've been thinking recently about the end of the universe, not the depressing kind of thinking either. More along the lines of modern thinking relative to how the universe moves within time and space. Now, there is a classic poem that hopefully will be familiar in some aspects. This is Fire and Ice by Robert Frost.



Fire and Ice
Some say the world will end in fire,
Some say in ice.
From what I've tasted of desire
I hold with those who favor fire.
But if it had to perish twice,
I think I know enough of hate
To say that for destruction ice
Is also great
And would suffice. 

As wonderful as this poem is in the literary sense, it actually has some real-world implications. This poem is very apt to the universe's motion within spacetime. We know from studies of redshifting that every galactic body is moving away from us at an accelerating rate, but not in the conventional sense. To clarify, let me explain redshifting and the "conventional sense" of expansion.
Redshifting
The concept of redshifting is a bit tricky to understand without background knowledge of basic light and wave physics. But let's make it easy here. Light as we know it travels in two forms, depending on the experiment you perform. The first form is packets of light, known as "quantas" of light (hence where the term Quantum Physics was derived). These behave as singular particles, and have been known to experimentally exist. The quanta of light has a specific amount of energy which then defines other properties such as the color and behavior of the light. The second form is in a wave (think like a repetitive ocean wave), and travels as such. The size (amplitude) and frequency (how small the individual waves are) of the wave determine roughly the same properties as the energy of a quanta does. Redshifting concerns the second form of light as the properties of a wave can actually be affected by something that quanta cannot: the speed and direction of the source. Here's the easiest way to understand this. If you have ever paid attention to the sound of a firetruck as it moves past you with sirens blaring, you will probably be familiar with hearing the siren as higher in pitch as it comes towards you and then lower as it passes you. That is called the Doppler Effect and in more technical terms it means that the frequency of a wave (the pitch of the tone for a sound wave or the color of the light in a light wave for example) can be affected by the speed of the source in which the wave is emitted from. For sound it is fairly easy to change the pitch as sound moves through air at about 330 m/s whereas light moves through space at about 300 million m/s (a factor difference of approximately 10^6). A truck moving at 20 m/s affects the frequency of sound way more than the frequency of light. Make no mistake, the speed of the source does not affect the speed of the light, but it does affect the frequency. The frequency of sound affects the pitch (how high or low), and the frequency of light affects the color (a slower frequency means larger waves and more red color. A faster frequency means shorter waves and a more blue color.). There are other types of waves as well that are changed in different ways by the frequency, but here we shall only consider light. 

So what is redshifting then? Redshifting is merely another name for the Doppler Effect changing the frequency of light. This means when a source that emits a frequency of light moves away from the observer (e.g. us) the frequency of the wave decreases and becomes more red. So how does that help us? Well it is a very useful method to find out how fast something moves away from us. If the color of the light of a star or galaxy remained the same, we could say that the star or galaxy did not move relative to us. However we have observed that for many interstellar objects they actually seem to be redder over a period of time. What this means is that many stellar objects are moving away from us! But the interesting thing that the scientific community has noticed is that the degree at which these bodies become redder is not constant, but increasing, meaning that objects light frequency does not increase by a fixed amount, but an increasing one! This all amounts to the fact that the universe around us moves away from us at an accelerating rate. This is what redshifting is and why it is important.


Expansion
Now's the more difficult part, which is understanding what I mean by expansion. I will have to explain this better in another post as there are other important concepts to define but I will explain how this relates to the poem at least. When we normally say expansion, we mean things are moving away from each other in space. This would imply that all objects in the universe move away from each other in a fixed space. Strangely this is not true because it is not under this concept of expansion. Rather, it is not the bodies expanding in a fixed space, but fixed bodies in an expanding space! This is a strange concept to absorb, because it is hard to imagine that the bodies are moving, but not moving. It sounds like some really badly-worded Star Wars quote, but let's make it easier shall we? Imagine that you have a balloon, and you draw two dots on it with a marker maybe an inch apart. Now you blow up the balloon. The dots have not physically moved on the balloon, have they? No of course not! But you must admit that upon visual inspection they are definitely further apart from each other. That is because the actual space that the dots are in has expanded, which pushes them away from away from each other. If you replace the dots with two stars and the balloon with the universe, that is something close to what I am trying to explain. The universe itself is expanding, but the stars themselves are not actually moving away from each other (to get a little more technical, it is the dark matter and energy in the universe that expands in a very strange way that we don't entirely understand).


So what's the point of all this? Well let's take a look at the poem mentioned in the beginning of this post! When the universe expands, it also cools down (not as much radiation reaches the surfaces of planets, etc.). So when Robert Frost mentions the world ending in ice, it actually is somewhat apt to one way that the world (and the universe) is hypothesized to end, which is that the universe will expand so greatly that it will cool beyond the point that is sustainable for everything. So it seems that Robert Frost was not only a celebrated poet but also an unknown and unintentional physicist! The other concept of ending in fire is also apt, as there is another theory that the expansion of the universe will soon slow down to the point where the intra-galactic gravitational forces will pull all stellar bodies into one point, super-heating them and causing what could be considered an inverse of the Big Bang.


It truly is interesting to see how accidental and yet how acuminous it is. And hopefully you will be stunned at how much of an accidental and intentional genius Robert Frost was! And as always, leave any likes, comments, and/or questions you deign to do so! And thanks for reading. Hopefully I will see you soon in a new update!


--J