[AntonioLao]

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

[mkirkpatrick]

Ying and Yang everytime,how could it be otherwise?




regards michael.

[AntonioLao]

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.

[mkirkpatrick]

Originally Posted by AntonioLao 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?



regards michael.

[AntonioLao]

Originally Posted by mkirkpatrick who would seriously argue about having complete freedom

Ones who know the gravity of the situation.

[mkirkpatrick]

Originally Posted by AntonioLao Ones who know the gravity of the situation.

What a wonderful little pun Antonio.I love it!



regards michael.

[neutralino]

Originally Posted by AntonioLao 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).

[MJA]

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,

=
MJA

[sillysally]

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

[AntonioLao]

Originally Posted by neutralino A Euclidean metric would have signature (++++).

How about (-,-,-,-) and such that (-,-,-,-)+(+,+,+,+)=(0,0,0,0).

Originally Posted by sillysally Hi, I figured the flat part in that dimension thread.

Can you share what you have in mind?

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.