Take-away ideas from How Long is a Piece of String?

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Take-away ideas from How Long is a Piece of String?

Post by FBM » Fri Nov 20, 2009 5:57 am

If you haven't seen it: http://www.bbc.co.uk/iplayer/episode/b0 ... of_String/

I think that link is only available to people in the UK, tho. Others may have to acquire it by 'alternative means', like I did.

My question for those who have seen it is, 'Which among the ideas presented had the most lasting impact on you?'

I have a couple, but I'd like to hear what someone got from it before elaborating. :pop:
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Re: Take-away ideas from How Long is a Piece of String?

Post by FBM » Fri Nov 20, 2009 2:33 pm

The length of a string is infinite, but the size (surface area and extension) of a grain of sand is a smaller infinity, the coastline of Britain, the surface of the planet, the cluster, supercluster, the universe...an infinite number of universes? and infinite number of dimensions of dimensions? greater and greater infinities...moment to moment being recreated anew...an infinity of infinities, infinitely multiplied and conditioned by infinite numbers of smaller and larger infinities...here is a grain-of-sand infinity, but it is infinitely larger than an infinite number of smaller infinities, yet infinitely smaller than an infinite number of larger infinities. It just is what it is, nothing more, nothing less. Just. We haven't begun to know.

Edit: Cantor.
Last edited by FBM on Fri Nov 20, 2009 2:39 pm, edited 1 time in total.
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Re: Take-away ideas from How Long is a Piece of String?

Post by Xamonas Chegwé » Fri Nov 20, 2009 2:37 pm

I was extremely interested in the quantum mechanics as it applied to photosynthesis that was mentioned in the program. I want to know more about that. In fact, I want to know more about QM in general. Can anyone recommend a good book on the subject - aimed at a beginner with a pretty decent grounding in science - ie. a little above the pop-sci level?
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Re: Take-away ideas from How Long is a Piece of String?

Post by Feck » Fri Nov 20, 2009 2:52 pm

They have to talk about a piece of string it's going to get mixed up with string theory :doh:
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Re: Take-away ideas from How Long is a Piece of String?

Post by leo-rcc » Fri Nov 20, 2009 3:48 pm

I just watched it on bbc 2 when it was broadcasted. Not a bad show, but nothing memorable in it for me to be honest.
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Re: Take-away ideas from How Long is a Piece of String?

Post by Clinton Huxley » Fri Nov 20, 2009 3:53 pm

Was this the one with the mop-topped comedian presenting?
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Re: Take-away ideas from How Long is a Piece of String?

Post by leo-rcc » Fri Nov 20, 2009 3:57 pm

Clinton Huxley wrote:Was this the one with the mop-topped comedian presenting?
Alan Davies yes.
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Re: Take-away ideas from How Long is a Piece of String?

Post by Clinton Huxley » Fri Nov 20, 2009 3:58 pm

leo-rcc wrote:
Clinton Huxley wrote:Was this the one with the mop-topped comedian presenting?
Alan Davies yes.
This is my prob. I don't want some comedian presenting my science. I want someone who knows what he is talking about.

I remember when Horizon used to be a proper science program, presented by serious looking chaps with enormous beards and ill-fitting tank-tops. :lay:
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Re: Take-away ideas from How Long is a Piece of String?

Post by FBM » Fri Nov 20, 2009 4:10 pm

Nothing that erodes the certainty...including mathematical...that reality is a certain way? That if we just find the right formula, the right expression, we'll know reality for sure? Am I wrong in thinking that we all, practically speaking, behave as if there were something certain underlying our reasons for doing what we do? For me, that program added fuel to something I've been thinking about for a while now: that no one has yet found a solid foundation upon which to base our everyday assumptions that what we experience is in any way ultimately real. Representational realism is dead to me. I can't find anything other than convention based on history, tradition and unfounded assumptions. Reality is becoming more and more nebulous the more I investigate it, and that program only gave me more reason to doubt that certainty is even possible. Gödel, for instance.
"A philosopher is a blind man in a dark room looking for a black cat that isn't there. A theologian is the man who finds it." ~ H. L. Mencken

"We ain't a sharp species. We kill each other over arguments about what happens when you die, then fail to see the fucking irony in that."

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Re: Take-away ideas from How Long is a Piece of String?

Post by Rum » Fri Nov 20, 2009 9:23 pm

FBM wrote:Nothing that erodes the certainty...including mathematical...that reality is a certain way? That if we just find the right formula, the right expression, we'll know reality for sure? Am I wrong in thinking that we all, practically speaking, behave as if there were something certain underlying our reasons for doing what we do? For me, that program added fuel to something I've been thinking about for a while now: that no one has yet found a solid foundation upon which to base our everyday assumptions that what we experience is in any way ultimately real. Representational realism is dead to me. I can't find anything other than convention based on history, tradition and unfounded assumptions. Reality is becoming more and more nebulous the more I investigate it, and that program only gave me more reason to doubt that certainty is even possible. Gödel, for instance.
This is (seriously) a profound post. I reached similar conclusions in my early 20s as a result of using LSD. Probably coming at the same issue from a different perspective.

'Reality' is even less than relative I suspect. It is profoundly subjective and arises from a billion consciousnesses reaching out to a world which does not exist in any meaningful objective way and trying to deal with it. The world is a rendered phantasm and it is a wonder it works as it does for most of us. It is truly a profound mystery.

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Re: Take-away ideas from How Long is a Piece of String?

Post by Don't Panic » Fri Nov 20, 2009 10:43 pm

Xamonas Chegwé wrote:I was extremely interested in the quantum mechanics as it applied to photosynthesis that was mentioned in the program. I want to know more about that. In fact, I want to know more about QM in general. Can anyone recommend a good book on the subject - aimed at a beginner with a pretty decent grounding in science - ie. a little above the pop-sci level?
A brief history of time would be a good starting point.
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Re: Take-away ideas from How Long is a Piece of String?

Post by FBM » Fri Nov 20, 2009 11:48 pm

Rumertron wrote:This is (seriously) a profound post. I reached similar conclusions in my early 20s as a result of using LSD. Probably coming at the same issue from a different perspective.

'Reality' is even less than relative I suspect. It is profoundly subjective and arises from a billion consciousnesses reaching out to a world which does not exist in any meaningful objective way and trying to deal with it. The world is a rendered phantasm and it is a wonder it works as it does for most of us. It is truly a profound mystery.
In some aspects, I'm rediscovering what I 'saw' in my 20s (Yes, LSD and some other things were sometimes involved, but mostly it was investigation into science and philosophy). In other aspects, I'm finding fresher and more profound discoveries and admissions in science that, fundamentally, we don't really know much, if anything, about anything with any certainty. I think Pyrrho was spot on in his approach to the problem.
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Re: Take-away ideas from How Long is a Piece of String?

Post by Xamonas Chegwé » Sat Nov 21, 2009 1:29 am

DP wrote:
Xamonas Chegwé wrote:I was extremely interested in the quantum mechanics as it applied to photosynthesis that was mentioned in the program. I want to know more about that. In fact, I want to know more about QM in general. Can anyone recommend a good book on the subject - aimed at a beginner with a pretty decent grounding in science - ie. a little above the pop-sci level?
A brief history of time would be a good starting point.
Read it. I was looking for something quite a bit meatier. As I said, not pop-sci. And something specifically concentrating on QM as opposed to physics and cosmology in general.

What I was hoping for was more the kind of book that someone studying a degree course in physics would be recommended for their first year QM primer. I have a knowledge of physics to A level standard and maths to undergraduate level, so I don't need the sums glossing over! :biggrin:

Any suggestions? Perhaps I should ask at RD.
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Re: Take-away ideas from How Long is a Piece of String?

Post by FBM » Sat Nov 21, 2009 3:16 am

Xamonas Chegwé wrote:Read it. I was looking for something quite a bit meatier. As I said, not pop-sci. And something specifically concentrating on QM as opposed to physics and cosmology in general.

What I was hoping for was more the kind of book that someone studying a degree course in physics would be recommended for their first year QM primer. I have a knowledge of physics to A level standard and maths to undergraduate level, so I don't need the sums glossing over! :biggrin:

Any suggestions? Perhaps I should ask at RD.
Books? We don' need no stinkin' books! We've got teh interweebs! See if you can wrap your head around this jewel, I can't:

From: http://www.lifesci.sussex.ac.uk/home/Jo ... uantum.htm
Deepening the quantum mysteries
The "central mystery" of quantum physics just got more mysterious. Experimenters from the United States and Austria have got together to provide a new demonstration of how light going through a "double slit" experiment seems to know before it sets out in its journey exactly what kind of traps have been set for it along the way.

This is a variation on the Young's slit experiment, familiar from school laboratory demonstrations of the wave nature of light. When a beam of monochromatic light is shone through two narrow holes in a screen, the light spreading out from the two holes interferes, just like ripples interfering on the surface of a pond, to produce a characteristic pattern on a second screen.

The mystery is that light can also be described as a stream of particles, called photons. The light source in a Young's slit experiment can be turned down to the point where it consists of individual photons going through the experiment, one after the other. If the spots of light made by individual photons arriving at the second screen (actually a photoelectric detector) are added together, they still form an interference pattern, as if each photon goes through both holes and interferes with itself on the way through the experiment. It was Richard Feynman who described this as "the central mystery" of quantum theory, and then corrected himself, saying that in fact it is "the only mystery". If you understood this, you would understand quantum physics -- but as Feynman also said, "nobody understands quantum mechanics" (The Character of Physical Law, BBC Publications, 1965).

The new demonstration of how incomprehensible the quantum world is has been made by Raymond Chiao, of the University of California, Berkeley, Paul Kwiat, of the University of Innsbruck, and Aephraim Steinberg, of the US National Institute of Standards and Technology, in Maryland. Their results were presented at a meeting in Nathiagali, Pakistan.

In fact, the team has carried out several tests of the stranger predictions of quantum theory, but the most dramatic is what they call the "quantum eraser". In this variation on the Young's slit theme, the experiment is first set up in the usual way, and run to produce interference. Quantum theory says that the reason why interference can occur, even if light is a stream of photons, is that there is no way to find out, even in principle, which photon went through which slit. The "indeterminacy" allows fringes to appear.

But then Chiao and his colleagues ran the same experiment with polarising filters in front of each of the two slits. Any photon going one way would become "labelled" with left-handed circular polarization, while any photon going through the other slit is labelled with right-handed circular polarization. In this version of the experiment, it is possible in principle to tell which slit any particular photon arriving at the second screen went through. Sure enough, the interference pattern vanishes -- even though nobody ever actually looks to see which photon went through which slit.

Now comes the new trick -- the eraser. A third polarising filter is placed between the two slits and the second screen, to scramble up (or erase) the information about which photon went through which hole. Now, once again, it is impossible to tell which path any particular photon arriving at the second screen took through the experiment. And, sure enough, the interference pattern reappears!

The strange thing is that interference depends on "single photons" going through both slits "at once", but undetected. So how does a single photon arriving at the first screen know how it ought to behave in order to match the presence or absence of the erasing filter on the other side of the slits?

All of these experiments were carried out using beams of individual photons, and there is no way in which the results can be explained by using classical physics. They lay bare the mysteriousness of quantum mechanics in all its glory, and in particular demonstrate its "non local" nature -- the way in which a photon starting out on its journey behaves in a different way for each experimental setup, as if it knew in advance what kind of experiment it was about to go through.

Don't worry if you don't understand this. Richard Feynman didn't, and he warned "do not keep saying to yourself, if you can possibly avoid it, 'But how can it be like that?' because you will go 'down the drain' into a blind alley from which nobody has yet escaped. Nobody knows how it can be like that."
"A philosopher is a blind man in a dark room looking for a black cat that isn't there. A theologian is the man who finds it." ~ H. L. Mencken

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Re: Take-away ideas from How Long is a Piece of String?

Post by Xamonas Chegwé » Sat Nov 21, 2009 3:32 am

FBM wrote:
Xamonas Chegwé wrote:Read it. I was looking for something quite a bit meatier. As I said, not pop-sci. And something specifically concentrating on QM as opposed to physics and cosmology in general.

What I was hoping for was more the kind of book that someone studying a degree course in physics would be recommended for their first year QM primer. I have a knowledge of physics to A level standard and maths to undergraduate level, so I don't need the sums glossing over! :biggrin:

Any suggestions? Perhaps I should ask at RD.
Books? We don' need no stinkin' books! We've got teh interweebs! See if you can wrap your head around this jewel, I can't:

From: http://www.lifesci.sussex.ac.uk/home/Jo ... uantum.htm
Deepening the quantum mysteries
The "central mystery" of quantum physics just got more mysterious. Experimenters from the United States and Austria have got together to provide a new demonstration of how light going through a "double slit" experiment seems to know before it sets out in its journey exactly what kind of traps have been set for it along the way.

This is a variation on the Young's slit experiment, familiar from school laboratory demonstrations of the wave nature of light. When a beam of monochromatic light is shone through two narrow holes in a screen, the light spreading out from the two holes interferes, just like ripples interfering on the surface of a pond, to produce a characteristic pattern on a second screen.

The mystery is that light can also be described as a stream of particles, called photons. The light source in a Young's slit experiment can be turned down to the point where it consists of individual photons going through the experiment, one after the other. If the spots of light made by individual photons arriving at the second screen (actually a photoelectric detector) are added together, they still form an interference pattern, as if each photon goes through both holes and interferes with itself on the way through the experiment. It was Richard Feynman who described this as "the central mystery" of quantum theory, and then corrected himself, saying that in fact it is "the only mystery". If you understood this, you would understand quantum physics -- but as Feynman also said, "nobody understands quantum mechanics" (The Character of Physical Law, BBC Publications, 1965).

The new demonstration of how incomprehensible the quantum world is has been made by Raymond Chiao, of the University of California, Berkeley, Paul Kwiat, of the University of Innsbruck, and Aephraim Steinberg, of the US National Institute of Standards and Technology, in Maryland. Their results were presented at a meeting in Nathiagali, Pakistan.

In fact, the team has carried out several tests of the stranger predictions of quantum theory, but the most dramatic is what they call the "quantum eraser". In this variation on the Young's slit theme, the experiment is first set up in the usual way, and run to produce interference. Quantum theory says that the reason why interference can occur, even if light is a stream of photons, is that there is no way to find out, even in principle, which photon went through which slit. The "indeterminacy" allows fringes to appear.

But then Chiao and his colleagues ran the same experiment with polarising filters in front of each of the two slits. Any photon going one way would become "labelled" with left-handed circular polarization, while any photon going through the other slit is labelled with right-handed circular polarization. In this version of the experiment, it is possible in principle to tell which slit any particular photon arriving at the second screen went through. Sure enough, the interference pattern vanishes -- even though nobody ever actually looks to see which photon went through which slit.

Now comes the new trick -- the eraser. A third polarising filter is placed between the two slits and the second screen, to scramble up (or erase) the information about which photon went through which hole. Now, once again, it is impossible to tell which path any particular photon arriving at the second screen took through the experiment. And, sure enough, the interference pattern reappears!

The strange thing is that interference depends on "single photons" going through both slits "at once", but undetected. So how does a single photon arriving at the first screen know how it ought to behave in order to match the presence or absence of the erasing filter on the other side of the slits?

All of these experiments were carried out using beams of individual photons, and there is no way in which the results can be explained by using classical physics. They lay bare the mysteriousness of quantum mechanics in all its glory, and in particular demonstrate its "non local" nature -- the way in which a photon starting out on its journey behaves in a different way for each experimental setup, as if it knew in advance what kind of experiment it was about to go through.

Don't worry if you don't understand this. Richard Feynman didn't, and he warned "do not keep saying to yourself, if you can possibly avoid it, 'But how can it be like that?' because you will go 'down the drain' into a blind alley from which nobody has yet escaped. Nobody knows how it can be like that."
Yes. This is the sort of thing I love about QM! The complete bizzarity of it all. particles that are also waves and know what they have to do to get through any obstacles before they are in place! What i want to read is a book that explains the current theorising behind these insane experiments.

the thing that piqued (or rather repiqued) my interest was in the Horizon show where it was pointed out that photosynthesis wouldn't work without QM weirdness. Light molecules travel every possible way at once through a chlorophyll molecule in order to activate the PS process as quickly as possible. If this didn't happen, PS couldn't happen fast enough to support life on the planet! (At least that was what they seemed to be saying.) I want to know more about this aspect of science, theoretical though it may be. It makes relativity seem mundane.
A book is a version of the world. If you do not like it, ignore it; or offer your own version in return.
Salman Rushdie
You talk to God, you're religious. God talks to you, you're psychotic.
House MD
Who needs a meaning anyway, I'd settle anyday for a very fine view.
Sandy Denny
This is the wrong forum for bluffing :nono:
Paco
Yes, yes. But first I need to show you this venomous fish!
Calilasseia
I think we should do whatever Pawiz wants.
Twoflower
Bella squats momentarily then waddles on still peeing, like a horse
Millefleur

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