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Raider of the lost time
Join Date: Nov 2003 Posts: 5,934
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11-01-2005, 01:37 PM
| | capital lambda
Quote: |
Originally Posted by GUILLE What is the symbol that looks like a capital letter A without the middle bar? | Capital lambda is used to denote the cosmological constant in Einstein's field equations of general relativity. Its dimension is the inverse of area or length squared. As indicated in post#1, its value is 1 over 1 followed by 52 zeros.
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Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: ¶a(t)·¶r(t)=c²
| | | | The Thinker
Join Date: Mar 2005 Posts: 3,278
48  | |
11-01-2005, 04:21 PM
| Quote: |
Originally Posted by AntonioLao Capital lambda is used to denote the cosmological constant in Einstein's field equations of general relativity. Its dimension is the inverse of area or length squared. As indicated in post#1, its value is 1 over 1 followed by 52 zeros. | oh, I see. But in post 1 the eqaution states that it is smaller than 3x10^-52 so hwo do you know that it's exactly 1? It could be anything between 0.0000...1 and 2.9999... | | | | Raider of the lost time
Join Date: Nov 2003 Posts: 5,934
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11-01-2005, 08:03 PM
| Quote: |
Originally Posted by GUILLE so hwo do you know that it's exactly 1? | I could not tell the difference between .0000000000000000000000000000000000000000000000000 00000000001 and .0000000000000000000000000000000000000000000000000 00000000003
__________________
Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: ¶a(t)·¶r(t)=c²
| | | | The Thinker
Join Date: Mar 2005 Posts: 3,278
48 | |
11-02-2005, 09:31 AM
| Quote: |
Originally Posted by AntonioLao I could not tell the difference between .0000000000000000000000000000000000000000000000000 00000000001 and .0000000000000000000000000000000000000000000000000 00000000003 | I don't get this. what is choosing 1 from 0.000...1 and 2.9999.... to do with the difference between 0.00000000001 and 0.0000000003? | | | | Raider of the lost time
Join Date: Nov 2003 Posts: 5,934
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11-02-2005, 12:27 PM
| | is a very small number
The cosmological constant is an extremely small number. So, whether you get a drop or three drops out the entire ocean's body of water do not make any different whatsoever to the changes of its quantity.
__________________
Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: ¶a(t)·¶r(t)=c²
| | | | The Thinker
Join Date: Mar 2005 Posts: 3,278
48 | |
11-02-2005, 12:28 PM
| Quote: |
Originally Posted by AntonioLao The cosmological constant is an extremely small number. So, whether you get a drop or three drops out the entire ocean's body of water do not make any different whatsoever to the changes of its quantity. | True.
Now, is there an equation including the cosmological constant and the speed of light? | | | | Raider of the lost time
Join Date: Nov 2003 Posts: 5,934
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11-02-2005, 12:48 PM
| | field equations
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Originally Posted by GUILLE is there an equation including the cosmological constant and the speed of light? | None that I know about. The cosmological constant was put in by hand into the field equations when Einstein was looking for solutions to a static universe. He regreted doing it.
__________________
Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: ¶a(t)·¶r(t)=c²
| | | | The Thinker
Join Date: Mar 2005 Posts: 3,278
48 | |
11-02-2005, 01:05 PM
| Quote: |
Originally Posted by AntonioLao None that I know about. The cosmological constant was put in by hand into the field equations when Einstein was looking for solutions to a static universe. He regreted doing it. | But both constants are about the macro-universe, right? | | | | Raider of the lost time
Join Date: Nov 2003 Posts: 5,934
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11-02-2005, 01:36 PM
| Quote: |
Originally Posted by GUILLE But both constants are about the macro-universe, right? | The constant for the speed of light is used extensively in quantum mechanics. For examples, it is found in the fine structure constant, in the de Broglie's wave-particle duality.
__________________
Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: ¶a(t)·¶r(t)=c²
| | | | The Thinker
Join Date: Mar 2005 Posts: 3,278
48 | |
11-02-2005, 04:45 PM
| Quote: |
Originally Posted by AntonioLao The constant for the speed of light is used extensively in quantum mechanics. For examples, it is found in the fine structure constant, in the de Broglie's wave-particle duality. | I see.
Is there any equation connecting the cosmological constant with an other important constant in physics? Maybe the gravitational constant? | | | | | |
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