The theory of relativity in words of four letters or less
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This is not as self-evident as the author believes.
1. Having taught a great many college level physics students, they have trouble grasping this.
2. More importantly, there's a reason people pursued the theory of the aether for so long -- you have to actually do the fucking experiments to show that there's no absolute reference frame you could be said to be moving in. Thinking that you can deduce physical facts about the universe a priori is the opposite of science.
e: Suddenly remembered a Feynman bit from Lectures where he talks about exactly the attitude of treating this is somehow obvious: http://www.sciencechatforum.com/viewtopic.php?f=10&t=207...
Edit: sorry, changed wording while being replied to
And as shardling said, a reference frame isn't a physical thing that is created and destroyed - it's simply the zero point for your system of measurement - but the measurement would work just fine if you started with any number, zero is just convenient.
I may have missed the point of dropping an object, though. I thought the idea was to create a physical point we could anchor the coordinate system to, and in that way be able to measure acceleration.
You can't. There is absolutely no test that can tell you this.
You can't "drop" anything - whatever force is accelerating you also accelerates the object, so letting go of it tells you nothing.
If the force is external and doesn't apply pressure then you have to drop an object.
If the force affects the entire universe the same way then that's aether and can't be measured / doesn't exist. But that was not the kind of force I was using to disprove "you can't move".
What kind of force is external and doesn't apply pressure, and also doesn't affect the dropped object? There is no such force, and therefor no such test.
If you dropped something it would simply stay right next to you, even if you were accelerating - both of you are accelerating at exactly the same rate.
If you want a useful thought experiment about physics then you need to give reasonable physics tools. Otherwise you get something like "Pretend you are an inanimate green blob. You can't climb a hill, can you? Therefore climbing a hill is an illusion."
The only type of acceleration that is undetectable is gravity - and gravity will effect the dropped object exactly as much as you.
Dropping something was only one idea, but feeling pressure is much simpler.
Well, to be really pedant, if you were spinning around yourself, you'd feel an acceleration.
Wouldn't there be a force in the direction you are accelerating in?
Anyway, when you accelerate a car, you are not feeling acceleration, you are feeling the force of the car on you. Imagine being inside of a box that is in free fall. What experiment could you run to determine if you were accelerating?
Well, yes, that would be the standard way to look at it. Sorry for being confusing.
>Anyway, when you accelerate a car, you are not feeling acceleration, you are feeling the force of the car on you.
According to [Force = Mass * Acceleration] you can take them as equal (apart from the constant factor of your mass). In the freefalling box that is accelerating (and thus no longer in free fall) you'd also feel a force. No need for experiments if you have your normal senses. You'll be pressed against one side of the box. (And if the acceleration is 9.81 m/s^2 you couldn't distinguish it from a box on earth.)
That is actually the basic premise of general relativity - the equality of 'inertial mass' that resists against acceleration and 'gravitational mass' that happens because of, well, gravity. It's like the idea of constant speed of light for special relativity.
edit: Unless you're talking about gravity, which accelerates all parts of the setup equally, thus no force results.. but that would need something else in the experiment, either a great amount of matter or energy. But then you'd have a reference frame right there. (Mathematically. As for an experiment.. hm. Check for perturbances from space-time distortions that result from rotating gravity sources, maybe.. most gravity sources in this universe are rotating. There's an experiment done that checked that for Earth.[1])
Nah, the analogy is fine there -- you "wake up" in a new reference frame, and weren't able to make any measurements to compare it to your old one. Whether you can measure your motion against the old reference frame starting from this situation is actually the question!
* Wake up in the void. Label your current reference frame R0.
* Notice that there is no real way to label 'speed' vs. void.
* We can however measure angular speed via tension on body parts, it seems to be 0.
* Accelerate somehow
* * for some magical reason it's forbidden to have more than one object, so I thought up a couple minimally-magic ways to do it that I am pretty sure don't cause physics problems by themselves.
* * * You could throw something then immediately pretend the thing you threw doesn't exist, forbidding it as a reference frame.
* * * You could make a punching motion and use magic to cause your arm to disappear.
* * * You could swing all your limbs away from your body and use magic to reverse the direction of one of them.
* Now you are in reference frame R1 because you accelerated.
* Hooray you accelerated without any other objects to compare to. If you insist on comparing to a reference frame, use R0.
To move, you have to move to or away from ... well, from what? You'd have to say that you don't even get to use a word like "move" when you are the only body in that void.
You can move. You can have a delta v. You don't have an absolute position or velocity, but you don't need those to move.
I don't see any comparison to the pre-sleep state, this is a statement about the void, and it overreaches.
Reflections on Relativity [1] in fact does build up to a generalize concept of relativity (not just Einsteinian relativity) starting with points in an unknown space (building up to a concept of distance, rather than assuming such a thing), but it's a mathematical treatment of the problem rather than an intuitive one. And certainly not in words of one syllable.
[1]: http://mathpages.com/rr/rrtoc.htm , the part I'm referencing starts right off at 1.1.
Basically the same issue as the twin "paradox". I can appreciate the assumption of a constant velocity on wake though, as a way to simplify the story.
No you can't, this leads to the twin paradox. Assume you could use magic to simply reverse the direction of an object. Take two clocks, and have one travel away from you at relativistic speeds, then turn around and come back. Because of time dilation, when the clock returns, it will have observed less time pass then you, because it was moving at relativistic speeds. However, from the clocks perspective, you were moving at relativistic speeds, so you will have observed less time pass. The resolution to this paradox involves the fact that the clock was accelerated in order to turn around.
An interesting side point is that in the hypothetical void, you actually have no way of knowing weather or not you are accelerating. For example, the space station is currently in free fall towards the earth, but from within the station you cannot detect this fact. Similarly, if you are in a plane that is descending at the rate of gravity, you will appear to be in zero-g. The mathematics behinds this is considerably more difficult than special relativity.
More generally, you can't know that the laws of physics are the same in all reference frames until you actually do the experiments. If you think otherwise, you underestimate nature's ability to confound human intuition! A good example is is parity, which you'd think would be a good symmetry of nature, but is actually violated by some interactions: http://en.wikipedia.org/wiki/Parity_violation#Parity_violati...
Most people implicitly believe that there must be some privileged reference frame, if not mine necessarily than at least one very close to mine, and for good reason. (I'd go so far as to say that most people believe explicitly that there is a privileged reference frame, and that it is an intelligent agent called God, but leave that alone for now.) Even if they do get past this statement with a, "Uh, okay, I guess so..." they probably have not actually adjusted their entire world view to account for that powerful fact, and if they seem to understand what you have told them it is likely that they have simply memorized the right answer.
Not that there's anything wrong with trying.
????? Why do you assume God is a physical being inside the universe? (Do people really think that?) God created the universe - God is outside it. Like God is the computer and the universe is the program.
God isn't at rest/not at rest. The concept doesn't even apply.
As to why? A lifetime of indoctrination and social pressure. The same reason anyone believes anything, I suppose.
I know there are some religions that believe that, but they are hardly the majority.
The concept of "reference frame" doesn't even exist for a non-physical being.
A god that intervenes has nothing to do with whether or not the God is physical.
I suspect you are reading things into what people believe without actually understanding what they believe. i.e. that it's actually you that believes God has a reference frame, not that the majority of people in the US do.
I'm sure one could define God down into some kind of good-vibes field that could logically exist in our universe, and that's all good with me. But it's not what most Americans profess to believe. In any event, discard it if it offends you; it's completely irrelevant to the topic, which is super-cool physics.
Everywhere at once means "no privileged reference frame". (Kind of like how light, from the point of view of light itself is everywhere at once, and light also has a the special privileged reference frame of no reference frame at all.)
You were the one who claimed the most people believe in a privileged reference frame based on God. Not me. Now you are backpedaling from that claim - which is fine, because not only do most people not believe that, it doesn't even make any sense.
And I agree that this should conclude the religious digression of the main topic. Not that there is a whole lot more to talk about, unless you want to talk about (argue with?) my comment above on light.
Probably you'll never read this now, but... Nope. Everywhere at once literally means a privileged reference frame. "Over there, now" is a concept with no logical meaning in our physical universe. Being in two places at once isn't physically impossible, it's just nothing.
And that imposes very serious constraints on God. If I am on the Earth and I pray for my husband on Mars, God on Mars can not hear my prayer until it is too late. You really think that's a statement most Americans agree with?
You're also off about light. Light is not "everywhere at once from its own perspective" as you seem to think. The fact that light cannot be everywhere at once is the same fact that dictates that light cannot have a point of view, that light experiences no time and has no perspective. (Mind you, if this is the comparison you would like to draw to God, I will happily assent.) Study up and be a bit more careful with your science, and you'll be able to throw much meatier punches theologically.
No? That can not possibly be true? How could something be around forever? And how could something so complex and beautiful as the universe with all the fancy stuff inside emerge out of »nothing«? No way.
But wait, it is no problem for God to be around forever? It is no problem to have an entity, powerful enough to create a whole universe, without explaining where it came from? Or should we just introduce a super-god that created God? Unfortunately this just shifts the problem to the next level and we are again back at square one.
Besides that you can obviously build a house and enter through the front door after you finished it.
> Besides that you can obviously build a house and enter through the front door after you finished it.
You did not enter the material house - you entered the empty space that was already there, which the material of the house surrounds. If you want to use the analogy you must actually change your physical body to be made of wood and nails.
Yes, the analogy with building a house is not really strong but on the other hand the whole question if God - if he exists - exists inside or outside the universe (read spacetime) is difficult to say the least. What is outside of space? What is outside of time? Out of what is God made? And how does this affect his possibility to interact with the universe? Is he even able to interact?
Now that I got your point with being something and building the same thing, self-organizing systems come to mind - that's probably as close as you can get to being something and building the same thing. This does not address where the matter for the system come from so it is more self-shaping than self-building but ad hoc that's the best I can think of.
You sort of brought it up yourself when you said "God created the universe." like it's a fact, didn't you? Maybe you could explain what that's supposed to mean here?
I suspect that not thinking it through that way is a precondition for truly believing in God for most people. That is to say, most people who start out believing in God and who attempt to think this through would give up their belief in God on the way - or, instinctively realizing that and being made uncomfortable by the thought, they would automatically shy away from the whole logic of it.
After all, explaining the world is not really what belief in God seems to be about. It seems to be more about some kind of warm fuzzy feeling that people get from it.
You cannot deduce relativity from the knowledge that you can't find out whether you're moving. In Newtonian physics you can't find out whether you're moving either. The essential ingredient is that the speed of light is the same in all reference frames. Furthermore curved spacetime is by no means trivial; that's general relativity. It took Einstein himself 10 additional years before he got from special to general relativity, and more still to really develop it.
Assume now the virtual particle winks out of existence. Have you suddenly stopped moving? Were you wrong/incorrect somehow to have chosen the particle as the rest frame? Has conservation of (your) momentum just been violated?
So yes, it really is meant to be talking about a self-evident fact (once you think about it).
But you're right; I'm not a physics teacher. I'm willing to concede that I underestimated the potential stickiness of this point, and/or that I failed to overcome my handicap in expressing this point.
This makes you wonder which falsehoods we currently take for granted, that later generations can't even fathom anymore.
See that Feynman quote I linked in my original post; he discusses exactly this point.
Also, even with this interpretation it's questionable. In Aristotle's mind you can determine whether you're moving or not, even if you are completely alone in the universe. You take an object that you have with you (e.g. your t-shirt), throw it in a random direction with a specified velocity relative to you. According to Aristotle both you and the watch will decelerate. But since the deceleration is relative to the absolute reference frame in which you will eventually come to a halt, you can deduce whether you're moving from the relative deceleration between you and your watch (although interestingly if the deceleration has a special form, then you cannot determine whether you are moving, but that is again a non trivial fact that is not obvious to a layman). To Aristotle, and the people after him until Galilei, the idea of a special reference frame was perfectly intuitively obvious! (though, of course, incorrect)
If the idea was "explain relativity simply" then it could have been done better -- word complexity (ie "reading level") is a better measure than outright word length.
If the idea was simply to see if it could be done with 4-letter words, well, mission accomplished :)
(I was inspired in part by Douglas Hofstadter, who did something similar on a smaller scale in "Le Ton Beau de Marot".)
http://www2.kenyon.edu/Depts/Math/Milnikel/boolos-godel.pdf
I wonder if Hofstadter was inspired by Boolos?
The results in their Hall of Fame are fascinating. It's inspired by the xkcd linked elsewhere in this thread.
Still, this is a great intro to relativity and it was a fun read. Also a cool literary feat.
Scott Aaronson's Quantum Physics is one: http://www.scottaaronson.com/democritus/lec9.html
"Dana sees each rock at the same time, but Bert sees one rock and then sees the next rock."
How would anyone's movement, or lack of it, affect their perception of whether the rocks landed at the same time or not?
The two rocks land just as Bert and Dana are closest to each other. The two rocks are equally distant from that point. But as the light propagates towards them, Bert continues to move towards the light from the impact ahead of him, and away from the impact behind him. Thus he will see the light from the former impact before the latter.
(The traditional thought experiment is described in terms of trains and lightning, instead of buses and moon rocks. If you do a web search for that plus "special relativity", you should find plenty of descriptions that are closer to the original.)
Now. Bert is on the bus. It goes, let us say, from west to east on the road. Bert is half way from the west rock to the east rock when each rock hits land -- but he is on the move, and when the rays from the east rock hit his eyes he has gone some way east. The rays from the west rock have not yet got to him. Then, just a tad more time, and the rays from the west rock get to Bert's eyes.
But Dana does not move. She sits by the road. The rays from the west rock and the east rock hit her at the same time: each rock is, say, a yard from her, one west and one east.
So Dana sits and does not move; she sees the rays from each rock at the same time. Bert is on the bus, and goes from west to east; he sees the rays from the east rock and then the rays from the west rock.
And all that is fine. They both know that Dana does not move and Bert does. So they will say that each rock hit at the same time, for Dana (who did not move) saw them hit at the same time.
But (and this is the bit that may fry your mind) we can just as well say that Bert does not move and Dana does move! And then we will have to say that the east rock hit and then the west rock! How can that be?
We must say, even if you find it odd, that "did the east rock hit, then the west? or the west, then the east? or both at once?" just goes one way for Dana and not that way for Bert. Just like "is this rock to the east or to the west?" may not go the same way for both, if they are not at the same site.
(You are not dumb. This is hard. It took Al to work it out!)
I feel relatively smarter now
Similar to this: http://www.wired.com/wired/archive/14.11/sixwords.html
Best I could do.
I removed "and", "you", "the", "that", "a", and "to" as those were just a bit TOO big.
"In May 1954, Life magazine published a report on illiteracy among school children, which concluded that children were not learning to read because their books were boring. Accordingly, William Ellsworth Spaulding, the director of the education division at Houghton Mifflin who later became its Chairman, compiled a list of 348 words he felt were important for first-graders to recognize and asked Geisel to cut the list to 250 words and write a book using only those words. [33] Spaulding challenged Geisel to "bring back a book children can't put down." [34] Nine months later, Geisel, using 236 of the words given to him, completed The Cat in the Hat. It retained the drawing style, verse rhythms, and all the imaginative power of Geisel's earlier works, but because of its simplified vocabulary, it could be read by beginning readers."
I recall particularly enjoying `A Monovocalic Sonnet on Dante's "Inferno"` (http://www.muppetlabs.com/~breadbox/txt/infirni.html) - the essence/joy being in the Notes section: http://www.muppetlabs.com/~breadbox/txt/infirni-notes.html - it's so random and intense - a true hacker spirit I say :)
The best I can describe it is: "Matter is like water through a drain", I wrote a post with my consolation of how the three can be seen as one:
http://sentientmachine.blogspot.com/2013/05/matter-is-like-w...