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flat - 10-31-2007, 12:49 PM

One of the objectives of the mission of the satellite named WMAP/NASA launched in June 30, 2001 was to measure the mass contribution from positive curvature of space-time as well as the contribution from the negative curvature. See http://map.gsfc.nasa.gov/. What it found is that these contributions, within 2% accuracy of the measurements, exactly cancel each other. The clincher is that the universe is flat. From theoretical considerations it has been known for a long time that a particular solution of Einstein’s field equations of general relativity described a Euclidean four dimensional space-time flatness model. See http://en.wikipedia.org/wiki/Einstein_field_equations

Since the field equations are composed of 16 coupled hyperbolic-elliptic nonlinear partial differential equations, there exist an infinite number of solutions. There are models for varying degrees of positive curvature and negative curvature. However, the most interesting model is the one that describes a perfect balance between positive and negative yin-yang symmetry. Latest data gathered from WMAP/NASA measurements supported such a flat 4D universe. For some other contending models please consult: Weinberg, Steven, Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity, Wiley, New York, 1972, or see http://encarta.msn.com/media_461517872_761564398_-1_1/Models_of_the_Universe.html


Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: a(tr(t)=c²
  
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Re: flat
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Smile Re: flat - 10-31-2007, 01:00 PM

Ying and Yang everytime,how could it be otherwise?




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Re: flat - 10-31-2007, 01:04 PM

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Originally Posted by mkirkpatrick
Ying and Yang everytime,how could it be otherwise
Still many refuse to accept. Maybe because no one wants the idea of being flat? This is equivalent to being equal, complete freedom, etc.


Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: a(tr(t)=c²
  
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Smile Re: flat - 10-31-2007, 01:07 PM

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Originally Posted by AntonioLao View Post
Still many refuse to accept. Maybe because no one wants the idea of being flat? This is equivalent to being equal, complete freedom, etc.
Flat is fine,all is as one,who would seriously argue about having complete freedom?



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Re: flat - 10-31-2007, 01:14 PM

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Originally Posted by mkirkpatrick
who would seriously argue about having complete freedom
Ones who know the gravity of the situation.


Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: a(tr(t)=c²
  
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Smile Re: flat - 10-31-2007, 01:19 PM

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Ones who know the gravity of the situation.

What a wonderful little pun Antonio.I love it!



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Re: flat
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Re: flat - 10-31-2007, 07:55 PM

Quote:
Originally Posted by AntonioLao View Post
One of the objectives of the mission of the satellite named WMAP/NASA launched in June 30, 2001 was to measure the mass contribution from positive curvature of space-time as well as the contribution from the negative curvature. See http://map.gsfc.nasa.gov/. What it found is that these contributions, within 2% accuracy of the measurements, exactly cancel each other. The clincher is that the universe is flat. From theoretical considerations it has been known for a long time that a particular solution of Einstein’s field equations of general relativity described a Euclidean four dimensional space-time flatness model. See http://en.wikipedia.org/wiki/Einstein_field_equations
Solutions (that are useful) to the Einstein Field Equations are Lorentzian. This means that the signature is (-+++). A Euclidean metric would have signature (++++). What you mean is a 3 dimensional euclidean metric with a time component to make up the 4D spacetime. I presume you are talking about Minkowski spacetime here. Note that, since we know space is expanding, we cannot live in a Minkowski spacetime. If the universe is (globally) flat, then we will adopt the Friedmann Robertson Walker spacetime, with k=0 (i.e. zero curvature).
  
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Re: flat
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Re: flat - 10-31-2007, 11:47 PM

I personally before I was a vegitarian liked cilantro and jalapeno peppers in my tuna salad served on fresh baked italian flat bread with fresh greens.

All kidding aside, equalibrium is the most balanced state of nature.

Right on AL,

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Re: flat
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Re: flat - 11-01-2007, 07:06 AM

Hi, I figured the flat part in that dimension thread.


sally.
  
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Re: flat
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Re: flat - 11-01-2007, 01:24 PM

Quote:
Originally Posted by neutralino
A Euclidean metric would have signature (++++).
How about (-,-,-,-) and such that (-,-,-,-)+(+,+,+,+)=(0,0,0,0).
Quote:
Originally Posted by sillysally
Hi, I figured the flat part in that dimension thread.
Can you share what you have in mind?
Quote:
Originally Posted by MJA
equalibrium is the most balanced state of nature.
I'm betting all my money on dynamic equilibrium instead of static equilibrium.


Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: a(tr(t)=c²
  
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