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Re: An Idea
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Re: An Idea - 05-27-2008, 09:54 AM

Leaving the God angle aside Prof.... what is the size of string that you cant compress smaller than? I believe that theoritically strings come in different sizes..


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Well being a Theist, I'm tempted to say from God. That of course wouldn't be a satifactory explanation for agnostics or atheist. If there is no God, ( which there is ), than something else must be eternal, and that something would be strings. Again this really fits a cyclic universe model of expansion and contraction. String theory states you can't compress smaller than a string before the expansion starts again. Otherwise we're back to the something from nothing paradox, which in my mind would be excellent evidence in God.

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Re: An Idea
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Re: An Idea - 05-27-2008, 12:26 PM

Basic idea

The basic idea is that the fundamental constituents of reality are strings of the Planck length (about 10−33 m) which vibrate at resonant frequencies. Every string in theory has a unique resonance, or harmonic. Different harmonics determine different fundamental forces. The tension in a string is on the order of the Planck force (1044 newtons). The graviton (the proposed messenger particle of the gravitational force), for example, is predicted by the theory to be a string with wave amplitude zero. Another key insight provided by the theory is that no measurable differences can be detected between strings that wrap around dimensions smaller than themselves and those that move along larger dimensions (i.e., effects in a dimension of size R equal those whose size is 1/R). Singularities are avoided because the observed consequences of "Big Crunches" never reach zero size. In fact, should the universe begin a "big crunch" sort of process, string theory dictates that the universe could never be smaller than the size of a string, at which point it would actually begin expanding.

Superstrings



For the last 20 years of his life, Albert Einstein was something of an oddity in the physics community, like a beloved eccentric uncle whose favorite subject of conversation draws embarrassed looks around the table. While quantum theory, the theory of the infinitesimally small, was being tested with accuracy never attained before, he refused to accept that it was the ultimate theory. For the last years of his life, he worked on a way to reconcile his own theory of gravitation and the quantum description of the world. He didn't succeed and died without seeing his dearest dream realized.
More than 40 years later, Einstein is almost vindicated: The long lasting problem of incompatibility between general relativity and quantum mechanics seems to be on its way to a resolution. The solution may be difficult to grasp. If the handful of physicists involved in what are called "superstring theories" (or string, for short) are correct, we live in a world weirder than you can probably imagine.
It's a world of 10 dimensions, with some curled up at a microscopic level and some "big" dimensions that we perceive as "real." A world where the distinction between space and time is spurious (as taught by general relativity). A world where, in fact, the very notion of space and time is bound to disappear. In the words of Brian Greene, a professor at Columbia University and author of a book on the subject,"if string theory is correct, the fabric of our universe has properties that would have dazzled even Einstein." In string theory, there are no elementary particles (like electrons or quarks), but pieces of vibrating strings. Each vibration mode corresponds to a different particle and determines its charge and its mass. In the current understanding of the theory, those strings are not "made of" anything: they are the fundamental constituent of matter. The consequences of replacing point-like particles by vibrating microscopic strings are enormous. The only consistent framework to describe those strings implies a 10- or even conceivably an 11-dimension world in which 6 or 7 dimensions are curled up. Those extra dimensions are the ones which determine the properties of the world we live in. The larger dimensions are what we perceive as the ordinary space and time.

A little reading for you Dipayankar,

Best,

Pat
  
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Re: An Idea
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Re: An Idea - 05-27-2008, 08:08 PM

Hi Fredrick:

I like your graphic on post #1207. You wouldn't have a problem with 2 level octree shown on post #1202. You would just subdivide one of your 8 globes to 8 smaller globes. On the sphere that I posted on #1204 it would be difficult to subdivide one of those 8 sections to 8 smaller sections.

Best to you,

Pat
  
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Re: An Idea - 05-28-2008, 07:20 PM

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Originally Posted by Profpat View Post
I like your graphic on post #1207. You wouldn't have a problem with 2 level octree shown on post #1202. You would just subdivide one of your 8 globes to 8 smaller globes. On the sphere that I posted on #1204 it would be difficult to subdivide one of those 8 sections to 8 smaller sections.
Aha, I get it. And while I think I can get to the same level of depth, I'd probably go for a more organic version, in which the 8 become 16, and then 32, and then 64.

The eight I view are still a collective with each having an individual(ized) aspect. The whole is different from the parts, and each part will not automatically be a perfect miniature whole. Something can go awry. For instance, if we'd take a step to where we find 16 then I bet you one of these 16 will move towards the center middle, instead of neatly remaining in sync with the whole. This occurs then due to the collective force being of a different magnitude than the individual parts can control each for themselves. And if it happens that the 16 do remain perfectly in place, then I bet you something will shift when they become 32 and one or two move more towards the center middle. And if that...

Question: do you agree/disagree, Pat, that the decimal system is visible in the eight part delivery?


The difference between a structure based on unification and a structure without unification hinges on the question if nothing is just plain nothing or if nothing is mighty fundamental. Read In Search of a Cyclops with titillating mathematical evidence (see homepage) to find out if separation belongs to the fundamental basics of our universe - or not.
  
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Re: An Idea - 05-28-2008, 08:44 PM

Fredrick,

I was thinking of in-out, where 'out' goes forever, but 'in' meets some boundary like the planck length, or nowhere, or who knows what. Does this mean that our notion of size has an absolute scale?

Also, is the planck length "special", like the speed of light, in that all observers would agree on it? This is the basis of DSR (Double Special Relativity) that I read about somewhere.

Also, what's inside the planck length?

While you're at it, why do squirrels run toward cars?
  
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Re: An Idea - 05-28-2008, 09:20 PM

Question

What is Planck length? What is Planck time?

Asked by: Adam Faust

Answer

The Planck length is the scale at which classical ideas about gravity and space-time cease to be valid, and quantum effects dominate. This is the ‘quantum of length’, the smallest measurement of length with any meaning.

And roughly equal to 1.6 x 10-35 m or about 10-20 times the size of a proton.

The Planck time is the time it would take a photon travelling at the speed of light to across a distance equal to the Planck length. This is the ‘quantum of time’, the smallest measurement of time that has any meaning, and is equal to 10-43 seconds. No smaller division of time has any meaning. With in the framework of the laws of physics as we understand them today, we can say only that the universe came into existence when it already had an age of 10-43 seconds.
  
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Re: An Idea
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Re: An Idea - 05-28-2008, 09:26 PM

Three of the fundamental constants of nature are: c – the speed of light; h – Plank’s constant; G – the universal gravitational constant. The various Plank values are determined by these constants. In particular, Plank’s length is given by (hG/c3)1/2, about 10-33 cm. Now, what is the significance of this?

There are two pillars of study in physics: Quantum Mechanics and Relativity. All matter is affected by these two pillars to some degree, but they typically can be considered as mutually exclusive. If a particular mass is of a size to be greatly affected by relativity, there usually is little quantum affects. Or, if a particular mass has large quantum affects, there usually is little relativistic affects.
For a given mass, the distance over which relativistic affects are dominant is called the Schwarzschild radius. If a mass is squeezed smaller than its Schwarzschild radius it becomes a Black Hole. The Schwarzschild radius is given by Gm/c2.
The distance over which quantum affects are dominant is called the Compton length. For a given mass, anything smaller than its Compton length is strongly quantum. The Compton length is given by h/mc.
If we compare the Schwarzschild radius and Compton length formulas, as the mass varies, the two lengths are inversely proportional to each other. This is why the two affects seem mutually exclusive. The question becomes, “Is there a particular mass with the same Schwarzschild radius and Compton length?” The answer is yes. If we equate the two formulas and solve for m, we find that at a mass of (hc/G)1/2 (about 10-5 g) the Schwarzschild radius and the Compton length are equal. This mass is called the Plank mass. The length at which the Schwarzschild radius and the Compton length are equal is called the Plank length. At the Plank length, both relativistic and quantum affects are equally dominant.
  
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Re: An Idea - 05-28-2008, 09:29 PM

Everything you wanted to know about Planck and his length, but were afraid to ask.

Squirrels are a member of the leming family and are therefore suicidal.

Now Fredrick can give you an answer that is understandable.

Best to you Austin,

Pat
  
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Re: An Idea
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Re: An Idea - 05-29-2008, 04:48 AM

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(1) The Planck length is the scale at which classical ideas about gravity and space-time cease to be valid, and quantum effects dominate. This is the ‘quantum of length’, the smallest measurement of length with any meaning. And roughly equal to 1.6 x 10-35 m or about 10-20 times the size of a proton.

(2) The Planck time is the time it would take a photon travelling at the speed of light to across a distance equal to the Planck length. This is the ‘quantum of time’, the smallest measurement of time that has any meaning, and is equal to 10-43 seconds. No smaller division of time has any meaning.

(3) Within the framework of the laws of physics as we understand them today, we can say only that the universe came into existence when it already had an age of 10-43 seconds.
Hi Pat

(1) This is not right - classical physics ceases to hold sway at around 10^-17 when the strong force becomes dominant. The Planck length is very, very much smaller at about 10^-35.

(2) This is simply speed = distance over time. If there is no smaller division then we must have an underlying granularity - hence an aether.

(3) Where did this come from???

From the earlier, and much longer post, you appear to have become an apologist for sting theory? You can't have a fundamental particle that is made of something else. Also if BG's vibrating loops are not all the same then they are not fundamental - they have to be made of something even smaller.

As you know, I use string in my model but it's very different from the string you are describing.

regards
Felix


And woe to us if, blinded by illusions,
We detach ourselves from the dancing cosmos,
This universal harmony.......Ruth Peel
  
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Re: An Idea
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Re: An Idea - 05-29-2008, 04:53 AM

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Squirrels are a member of the leming family and are therefore suicidal....... Now Fredrick can give you an answer that is understandable.
I thought the lemming story was an urban myth? But then nobody knows!

regards
Felix


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We detach ourselves from the dancing cosmos,
This universal harmony.......Ruth Peel
  
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