Can you explain, why the dimensions are denoting the mutually perpendicular directions? If yes, you can say, the AWT approach is unique.
If not, then it's just you, who is parroting the textbooks without deeper understanding of the subject...
Orthogonal directions are usually the most computationally convenient. For instance, it's convenient to decompose motion and forces into horizontal and vertical when dealing with objects moving through the air or on slopes. This is not a requirement but in many systems non-orthogonal bases result in much more complicated equations of motion.
For instance, in spherical coordinates, the Einstein Field Equations for a black hole system are simple. In cartesian coordinates they are all coupled together and fantastically complicated, despite giving the same system in the end.
In special relativity, when two observers in relative motion compare their notion of axes, they will see the other one is not working with orthogonal basis vectors, even if they claim to be (ie they see it from their own perspective). This is due to time and length alterations due to motion.
QUOTE (Zephir+Aug 25 2007, 11:41 PM)
I thought that this would be self-explanatory, but I guess I had to explain that to you.
You listed properties without explaination. The list did not actually address the question I'd asked. I could see the answers in there, it was not obvious you could.
Given the posts in this thread, it's obvious numerous posters don't understand what a dimension is or how to compute the dimensions of a thing or system and your reply didn't show if you fell into that group or not. Anyone can copy and paste from websites. Look at Zephir.
truth
25th August 2007 - 11:07 PM
Dear Sir,
I'm sorry for the bad english that you will find written in this e-mail. I am Pasquale Galianni, a 20 years old physics student of University of Lecce (Italy), with a great passion for astrophysics. In recent days my team have maked a discovery, that represent literally "the final blow to distant quasars". We have found an high redshift quasar overlapped to the nucleus of NGC7319 in Stephan quintet. The discovery have been achieved in collaboration with H.C. Arp, E.M. Burbidge, G. Burbidge, S. Zibetti, and V. Jukkarinen. You can find the technical article that speack about this discovery on the ArXiv.org preprint server. The article of the title "The discovery of an high redshift QSO very close to the nucleus of NGC 7319" will be published in february 10 issue of ApJ.
I think that is important for everyone that love astronomy to read something about this discovery.
We are sure, that this discovery will not touch the actual scientifical establishment.
For this reason, I think that if a scientifical revolution must start, it must start from non-professionists people. Only with our passion we can break the wall of scientific estabilishment. I hope that you we help me, in the divulgation of this fundamental discovery.
I want to signal some useful non technical links, that speack well about the discovery:
ucsdnews.ucsd.edu/newsrel/science/mcquasar.asp
www.answersingenesis.org/docs2005/0112quasar.asp
www.innovations-report.de/html/berichte/physik_astronomie/bericht-38639.html
www.thunderbolts.info/tpod/2004/arch/041001quasar-galaxy.htm
Please, give me your opinion, and your help. Best Regards,
Pasquale Galianni
-Studente di Fisica Università di Lecce Received on Fri Jan 14 2005 - 04:13:17 PST
77777777777777777777777777777777777777777777777777777777
Big Bang Theory Thrashed
2006-12-16, Empire Media
Fulton, NY: a mere two months after his debut paper, "An Alternative View of the Universe", Bryan Belrad, 26, has published two more works; Titled "The Cosmic Microwave Background Radiation" and "Redshift and Spatial Expansion".
Bookish-sounding perhaps, but quite literally world-shaking.
The first paper, which was made public in October, 2006, unvieled a new Theory of how the universe might exist - the first to seriously challenge the Big Bang since the 1960’s.
In papers 2 and 3, Belrad gets down to the nitty-gritty: in "Cosmic Microwave", he demonstrates how the ‘afterglow of creation’ is really nothing more than, frankly, hot air. In "Redshift", he presents evidence that scientifically rules out the entire premise of an expanding universe. Both also present evidence and predictions in support of his own Theory, The Eternal Universe Model.
And all of this was done while working THREE jobs. None of them in Astronomy or Physics.
Working on science during lunch breaks, and constanly pondering the mysteries of the cosmos while caring for three children at home, he describes himself as "the most tired man on the planet."
Up next: Anti-Matter. "I strongly suspect there is a relationship between matter, anti-matter, and light that goes deeper than we know."
All three works, to date, are available online at www.BelradUniverse.com
Zephir
25th August 2007 - 11:08 PM
QUOTE (AlphaNumeric+Aug 26 2007, 01:57 AM)
Orthogonal directions are usually the most computationally convenient
LOL, do you really think, our space exhibits the three perpendicular dimensions just because it's "most computationally convenient"? How the energy spreading can know, what's "most convenient" for some mankind? BTW We aren't disputing the coordinate systems, but the dimensionality of space, you just mixing two different aspects together. Even the spherical coordinate system remains threedimensional, because it's using the 3D sphere.
AlphaNumeric
25th August 2007 - 11:19 PM
QUOTE (Zephir+Aug 26 2007, 12:08 AM)
LOL, do you really think, our space exhibits the three perpendicular dimensions just because it's "most computationally convenient"? How the energy spreading can know, what's "most convenient" for some mankind?
I never said such things were physical. I made it quite clear (and it would be even more clear to anyone whose ever done physics) that I was talking about our methods of description.
The statement "our space exhibits the three perpendicular dimensions" is incorrect. Dimensions are not about the orientation of a given set of basis vectors but only how many there are.
You are having a go at me because
you are ignorant of how vector calculus or linear algebra are used to describe spaces.
QUOTE (Zephir+Aug 26 2007, 12:08 AM)
BTW We aren't disputing the coordinate systems, but the dimensionality of space, you just mixing two different aspects together.
It is slightly relevent since dimensionality comes down to the number of linearly independent vectors you need to span a space. The vectors don't have to be perpendicular but they can't be linearly dependant. So spherical, polar, cartesian, you're at liberty to pick which one you prefer or is simplest. That isn't the same as saying nature
is like that but obviously some systems lend themselves to particular coordinates. Spherical black holes are easiest described in spherical coordinates. That was what I was referring to but obviously with your complete lack of experience in doing such descriptions you didn't understand.
Have you ever done any linear algebra or vector calculus Zephir? It's pretty important to be able to do Newtonian mechanics. But then you can't do that either.
landon
25th August 2007 - 11:36 PM
light has a point where it starts a point were it ends why has it got to be a ray light could travel in maybe a dimension pulse that is spread out aver the whole universe
one after the other we don't really know how light travels except for fast
Sicewa
26th August 2007 - 12:16 AM
we know exactly how fast light travels... approximatley 186,282.397 miles per second (im not gonna give the exact number lol - thanks for pointing that our sirshanson)
SirShanson
26th August 2007 - 12:36 AM
sorry that just made me grin

QUOTE
we know exactly how fast light travels... approximately 186,282.397
Bit contradictory at first sight, but I know what you meant ^^
Zephir
26th August 2007 - 12:55 AM
QUOTE (AlphaNumeric+Aug 26 2007, 02:19 AM)
I was talking about our methods of description
I know, but this is exactly why I didn't asked you for our methods of description, but the physical reasons. My question was, if you can explain, why the dimensions are orthogonal in our space-time?
Why these angles aren't 60º, for example?
landon
26th August 2007 - 03:58 AM
bit of a hypocrite are we, there are no hypocrites on physorg
exactly how fast is light ? Is hydrogen inside out the sun?
approximately you don't know
Sicewa
26th August 2007 - 04:28 AM
lol landon wt frick
AlphaNumeric
26th August 2007 - 07:57 AM
QUOTE (Zephir+Aug 26 2007, 01:55 AM)
Why these angles aren't 60º, for example?
They can be if you wish. Infact, in some crystals, they are and so it's prefered to have basis vectors which are 60 degrees from one another.
'Dimensions' are numbers. You keep referring to basis vectors are dimensions. Angles exist between the vectors, not the dimensions.
You are ignoring (or failing to understanding) the fact I've specifically stated that our method of description (ie choice of basis) is arbitrary. We can pick vectors at 90 degrees to one another or at 1 degree to one another. Provided they aren't parallel or coplanar, that's all (otherwise you have linear dependance).
You're trying to trap me into saying something you think is incorrect but it's only because you are so ignorant of basic vector calculus. Thus demonstrating you can't do any Newtonian mechanics.
Zephir
26th August 2007 - 10:53 AM
QUOTE (AlphaNumeric+Aug 26 2007, 10:57 AM)
You're trying to trap me into saying something you think is incorrect...
Please, don't project your usual motivations into my behavior. I'm really interested about your answer.
Of course, I don't care about dimensions angles in crystals, as you probably realized.
freethis
26th August 2007 - 06:57 PM
Hm-mm,

very interesting is this light you are. Light separate dimension, is it. Hm-mm?
I'm leading towrds, (chemical reaction). Initially is it true I am, this is why I see you, it is..
Note I have , but why you ask young Anakin? Still a toddler, you are, but of such an ancient Jedi prophecy!
The force still remains in you, it does....
Nick
26th August 2007 - 07:03 PM
Light waves are thought to be sine waves in planes at right angles. But how could they be without dimension. If they are flat they are without dimension.
I say they have dimension and that Maxwell didn't know.
landon
21st September 2007 - 03:28 AM
a light wave comes from what ever is being burnt up in the top of our atmosphere.
hydrogen is usually the first thing it hits.
A sun wave is all radiation light is this radiation filtered by hydrogen that we are seeing.
you people know i right
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