Steveo
17th November 2005 - 10:57 PM
QUOTE
For someone professing ignorance of physics, you (like many other 'laypersons' I've encountered in these fora) certainly seem to have the wherewithal to find the crucial point of the matters you DO ponder!
You've made my day, Kaeroll! Thanks.
I think its a good physical common sense. Many 'handymen' are like this even if they couldn't do the math if their life depended on it. And them many 'analytical experts' in real life couldn't make an estimate to do it right if their life depended on it. Kind of funny I think....and I have often made the claim that NFL QB's are the fastest physicists in the world haha.
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| QUOTE |
For someone professing ignorance of physics, you (like many other 'laypersons' I've encountered in these fora) certainly seem to have the wherewithal to find the crucial point of the matters you DO ponder!
You've made my day, Kaeroll! Thanks. |
I think its a good physical common sense. Many 'handymen' are like this even if they couldn't do the math if their life depended on it. And them many 'analytical experts' in real life couldn't make an estimate to do it right if their life depended on it. Kind of funny I think....and I have often made the claim that NFL QB's are the fastest physicists in the world haha.
I've never formally studied physics (apart from some stuff on motion and electricity, which I didn't understand, at high school), so correct me if I'm wrong here ... but all the stars we see undergo red-shift, i.e. they are moving away from us. If we saw the light twice in one direction, i.e. it goes past us, "loops round" to the other side, and meets us the next time round (if you get me ...), so we see it twice ... well, if we looked the other way, wouldn't we see the same star moving towards us? Er, I hope this makes sense. It seems logical to me, but there may well be a great reason for it to be wrong.
Unlike reality check I do think your wrong, although its a very fair question. I never really thought about this until now, but I think I have a good analogy to properly explain why it would still be a redshift in all directions.
Think of me and you sitting on opposite sides of a barely inflated balloon. Now, the balloon gets inflated (ie. the universe is expanding). The distance between you and I (on the surface) increases in both directions. So in either direction I look at you you appear to be getting farther and farther away from me. This would also explain why the second loop around you viewed the star it would be even more red shifted because the light would have to travel twice around, but the second time would be extra expansion to 'fight through'.
I am not an expert on cosmology, and I doubt that this idea is any leading candidate for the geometry of the universe, but I enjoy pondering this idea more than others. It would also be very difficult to determine if two stars, or galaxies or whatever were the same, even though on appeared to be much farther away.
Realitycheck, I also hope this clears things up for you too.
RealityCheck
18th November 2005 - 01:49 AM
Hi Steveo!
You are correct, I was wrong. I think I made one too many assumptions when placing 'boundary conditions' to the scenario Kaeroll (and I) was contemplating. I'll explain the insights Kaeroll's observations elicited, which I should also have explained and didn't.
(1) In the case where 'you' and 'me' are placed DIAMETRICALLY OPPOSITE each other on your inflating balloon, the light on its INITIAL trip from 'you' to 'me' along the surface of that balloon is identically 'shifted' IN ALL DIRECTIONS in relation to 'me'----seeing as how 'your' position on the balloon surface is exactly opposite mine just as on the earth 'globe' surface the 'north pole' is diametrically opposite 'south pole'. So, you see, just as the ‘great-circle’ lines radiate and converge from one pole to the other on a globe, so would there be a virtually INFINITE number of IDENTICAL 'images' of 'you' arriving where 'me' is. In fact, such a scenario would result in 'your' image-lines of light 'washing' into my positions from all directions to form one infinitely 'bloated' and all-encompassing image of 'you' EVERYWHERE I LOOKED; practically ‘engulfed’ by an all-pervading image of ‘you’. Since we don't see every galaxy's infinitely-bloated images washing over us, then a 'finite but bounded' universe cannot be in reality what we are experiencing. You see?
(2) In the case where 'you' and 'me' are NOT diametrically opposite, then the situation would be that 'your' ACTUAL position would be 'closer' to 'me' in one direction (looking along the then SOLE 'great circle' line connecting us); and so be further away in the other direction (along that same 'great circle' line). In which case your RECESSION from me would be ASYMMETRICAL and so perceived 'differently-shifted' depending on which direction (along the great-circle line) 'me' was looking at 'you' (ie, 'me' looking front/behind along that line). Do you see?
I DO see what you tried to say about NOT seeing 'you' coming TOWARDS 'me' from the other direction. But if we COMBINE an A-SYMMETRIC RECESSION BALLOON MODEL, and then compare the two images in that case, they WOULD, as you say, STILL both be 'receding' and shifted', but DIFFERENTLY SO AGAIN from Kaerolls comparison of the single/twice-round 'image' in the SYMMETRIC RECESSION case. So I agree with what you said.
(3) In the case where a star was JUST MOVING away from Kaeroll in the ABSENCE OF SPACE EXPANSION, then the star's light hitting her from the other direction, after curving around ONCE in a 'finite but unbounded' universe, WOULD INDEED make the star appear to be APPROACHING from that direction while receding from the other direction. But again, that supposes a 'finite but unbounded' universe WITHOUT GLOBAL SPACE EXPANSION.
This is the sort of 'complication' that creeps in to such 'finite but unbounded' scenarios, ESPECIALLY WHEN COMBINED WITH RECESSION purporting to be GLOBAL rather than LOCAL (and possibly hence ACTUALLY ASYMMETRIC). But you see the aspect which Kaeroll was pondering was 'simplistic' yet 'profound' within the context, even though Kaeroll only mentioned the 'twice-around' bit.
Good luck to us all, I say! I think Kaeroll has just opened a little 'finite but unbounded' PANDORA'S BOX, hehehe. Thanks again, Kaeroll! And good 'reality check' there for me too, Steveo; thanks!
Your friend in science: RealityCheck.
.
Kaeroll
18th November 2005 - 05:40 PM
RC,
QUOTE
You've made my day, Kaeroll! Thanks.
Likewise, to both of you! I've developed something of an interest in this, but most of it I don't really 'get' ... I imagine some physicists/cosmologists must just go nuts, between this and quantum theory ...

I actually wanted to study physics A level this year, but ended up having to take maths instead ... which is fun ...

So I'm keeping my brain ticking over with some wider reading (currently "The Elegant Universe" by Brian Greene, as recommended to me by a member of this forum).
Steveo,
Thanks for the balloon analogy (and R.C. for your additions to it) - helps me understand things like this a lot easier, and I see what you mean. In addition to this, I seem to recall Hawking mentioning something about trying to travel at near-light speed and 'loop' round the universe to get to your starting point once more, not being possible - it was something along the lines of time ending before you could get back round. I returned the book to the library last week, so I can't look it up I'm afraid.
Still, if I recall that correctly - it might mean that in an expanding finite-but-unbounded universe, light cannot 'loop round', as such, and actually reach us. I can't remember it fully, but might this be the case?
Thanks all,
Kaeroll
(PS - I hate to be a pedant, but I am in fact a 'he'

)
Steveo
18th November 2005 - 06:31 PM
QUOTE
(currently "The Elegant Universe" by Brian Greene, as recommended to me by a member of this forum).
Yuk, not my favorite book! haha. I found that it jumped around way to much, and for me I didn't get as much out of it as I could have. I also, now have little faith in string theory. But thats my personal opinion.
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| QUOTE |
| (currently "The Elegant Universe" by Brian Greene, as recommended to me by a member of this forum). |
Yuk, not my favorite book! haha. I found that it jumped around way to much, and for me I didn't get as much out of it as I could have. I also, now have little faith in string theory. But thats my personal opinion.
I actually wanted to study physics A level this year, but ended up having to take maths instead ... which is fun ...
If you can take physics after math, that is a good idea. Its so nice to be able to follow physically whats going on and not have to worry about the math. If you struggle with the math, sometimes in your battle to do problems you miss the physics. Although, sometimes its easy to learn the math when you can actually see a point, or application to what your learning.
QUOTE
Steveo,
Thanks for the balloon analogy (and R.C. for your additions to it) - helps me understand things like this a lot easier, and I see what you mean. In addition to this, I seem to recall Hawking mentioning something about trying to travel at near-light speed and 'loop' round the universe to get to your starting point once more, not being possible - it was something along the lines of time ending before you could get back round. I returned the book to the library last week, so I can't look it up I'm afraid. sad.gif
Still, if I recall that correctly - it might mean that in an expanding finite-but-unbounded universe, light cannot 'loop round', as such, and actually reach us. I can't remember it fully, but might this be the case?
As to the rest of this, I have no idea if it is or is not possible. Just sort of interesting.
Kaeroll
20th November 2005 - 04:11 PM
Steveo,
I'm finding The Elegant Universe interesting - I'm not actually up to the chapters on string theory yet, the author is giving me a crash course in quantum mechanics currently

I find his writing style more confusing than Hawking's by far, but some of the analogies are a good laugh. Once you get past people walking through walls in the h-bar, it does make sense.
I won't have a chance to study physics next year, unfortunately - I'm hoping to move on to study chemistry at university. If I don't get the grades, however, I'll probably end up doing a third year at 6th form college, and may pick up physics then. That said most of the chemistry courses I've applied for have optional, unrelated modules you can take in your first year - stuff like philosophy, history of science, and probably physics, so I could pick one up then I guess.
Cheers
Kaeroll
Steveo
21st November 2005 - 05:43 PM
QUOTE
I'm finding The Elegant Universe interesting - I'm not actually up to the chapters on string theory yet, the author is giving me a crash course in quantum mechanics currently laugh.gif I find his writing style more confusing than Hawking's by far, but some of the analogies are a good laugh. Once you get past people walking through walls in the h-bar, it does make sense.
I actually really liked his analogies and explanations of relativity and quantum theory. Although I read that book 2 1/2 years ago, and have forgotten what they were. Now that I have taken a real course in quantum mechanics, and a real course in special relativity (not General relativity, maybe next year) I should go back and reread it to see if they are actually good explanations. But I am lazy, and have to much on my plate all the time, so I probably won't get to. I hope you get to study physics....its very interesting.....although probably only 1 or 2 courses wouldn't be enough

haha
Kaeroll
21st November 2005 - 07:45 PM
Steveo,
Most of the analogies are pretty surreal. Getting used to them, though ... I'm up to the beginning of his explanations of string theory, and to be honest, so far I find GR and quantum theory more interesting

Some of the implications of this stuff is mind-blowing, though.
The thing I find most difficult to accept/understand is a point about electron energy/velocity. The uncertainty principle explains that we can't accurately measure both position and velocity of an electron (have I understood that correctly?), but logically they'd still have a defined position, energy, direction, etc. at any given moment - even if we can't measure this. Greene points that out as being logical, but says it's not true, without elaborating too much. Which leaves Kaeroll very confused

(so much so that he begins to talk in the third person).
Kaeroll
Steveo
21st November 2005 - 09:09 PM
QUOTE
Most of the analogies are pretty surreal. Getting used to them, though ... I'm up to the beginning of his explanations of string theory, and to be honest, so far I find GR and quantum theory more interesting laugh.gif Some of the implications of this stuff is mind-blowing, though.
I agre, GR and QM are more interesting to me than String Theory. You have to be amazingly good at math to do anything that resembles string theory.
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| Most of the analogies are pretty surreal. Getting used to them, though ... I'm up to the beginning of his explanations of string theory, and to be honest, so far I find GR and quantum theory more interesting laugh.gif Some of the implications of this stuff is mind-blowing, though. |
I agre, GR and QM are more interesting to me than String Theory. You have to be amazingly good at math to do anything that resembles string theory.
The thing I find most difficult to accept/understand is a point about electron energy/velocity. The uncertainty principle explains that we can't accurately measure both position and velocity of an electron (have I understood that correctly?), but logically they'd still have a defined position, energy, direction, etc. at any given moment - even if we can't measure this. Greene points that out as being logical, but says it's not true, without elaborating too much. Which leaves Kaeroll very confused sad.gif (so much so that he begins to talk in the third person).
The thing is, that they don't. You can set up the same experiment, with the exact same parameters. And each time you measure, say, the electron's position, you will get a different value, and if you do this enough times, it will agree with the probability from squaring the electron's wave function, as found from the Schrodinger equation.
If you have no knowledge of math, this next paragraph may not make sense, so pay no attention to it. And if you know math (this includes anyone else reading it, and I made an error, please correct me)
The interesting thing is there are much more uncertainty principles than just position/momentum(velocity). There are uncertainty equations for spin, time/energy, and others. In mathematical terms I think (if I remember correctly.....march seems like a LONG time ago) your observables do not commute, which I think means, if you described them as matrices, they can not both be diagnolized with the same set of operations.
Anyways, don't worry to much about this. Some of the greatest physicists in the world can not agree on the reasons why things are in QM, but they can all do it mathematically. So if your confused, your not alone. And I have heard over and over again, if someone claims to totally understand the 'physics' behind QM they are lying through their teeth.
Kaeroll
21st November 2005 - 09:16 PM
Steveo,
Most of the maths went over my head, but I get your point, I think.
QUOTE
And I have heard over and over again, if someone claims to totally understand the 'physics' behind QM they are lying through their teeth
The one I heard was that the only people who understand QM are the people who've never studied it.

I'm beginning to see why.
Kaeroll
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