> If the expansion of the universe is going to stop and be stopped by
> dark energy,dark energy must change in some way because it is
> currently postulated to be accelerating the universe.
Dark energy, i.e., the cosmological constant doesn't stop the expansion
of the universe, but does the contrary: It is reponsible for the
observed accelerated expansion!
> If there is a
> change in dark energy i.e if dark energy consists of individual
[quoted text clipped - 5 lines]
> wave/particle we could use the heisenberg
> relation to determine how long the universe would expand for.
We do not know yet what "dark energy" might be. It's one of the biggest
unsolved problems of contemporary physics to explain, why the
cosmological constant is as small as it is. A naive estimate from the
standard model of elementary particle physics would suggest a value
which is around 120 orders of magnitude too big (i.e. we are off by a
factor of 10^120, i.e. a 1 with 120 zeros!).

Signature
Hendrik van Hees Cyclotron Institute
Phone: +1 979/845-1411 Texas A&M University
Fax: +1 979/845-1899 Cyclotron Institute, MS-3366
http://theory.gsi.de/~vanhees/ College Station, TX 77843-3366
Danny Ross Lunsford - 28 Apr 2004 07:47 GMT
> We do not know yet what "dark energy" might be. It's one of the biggest
> unsolved problems of contemporary physics to explain, why the
> cosmological constant is as small as it is. A naive estimate from the
> standard model of elementary particle physics would suggest a value
> which is around 120 orders of magnitude too big (i.e. we are off by a
> factor of 10^120, i.e. a 1 with 120 zeros!).
If one generalizes the geometry to that of Weyl, the CC must be zero, and
thus a non-zero CC is a highly suspicious physical quantity, insofar as it
represents a degree of freedom lost in specializing the geometry,
reappearing as the metric with a multiplicative constant in the contracted
Bianchi identities. In Weyl space the covariant derivative of the metric is
gmn;a = -Aa gmn
The lost invariance is that of local scale. Mathematically, the Weyl gauge
vector devolves to a gradient and the geometry becomes Riemannian, and
length becomes integrable. When A devolves to a gradient,
gmn;a = -phi;a gmn = (-phi gmn);a + phi gmn;a
so
(1 - phi) gmn;a = (-phi gmn);a
implying
gmn;a = 0
This now allows the CC to be introduced, which actually amounts to the
now-global length scale. Thus the geometrical problem has become reducible,
and we violate the sacred law of irreducibility of physical objects. I say
"sacred" because nowhere in physics does an essentially reducible object
correspond to a unique physical entity. This principle is perhaps as basic
as Lorentz invariance for determining the mathematical description of
physical objects. I therefore cannot understand the obsession with the CC.
Danny Ross Lunsford - 21 Oct 2005 01:06 GMT
> We do not know yet what "dark energy" might be. It's one of the biggest
> unsolved problems of contemporary physics to explain, why the
> cosmological constant is as small as it is. A naive estimate from the
> standard model of elementary particle physics would suggest a value
> which is around 120 orders of magnitude too big (i.e. we are off by a
> factor of 10^120, i.e. a 1 with 120 zeros!).
If one generalizes the geometry to that of Weyl, the CC must be zero, and
thus a non-zero CC is a highly suspicious physical quantity, insofar as it
represents a degree of freedom lost in specializing the geometry,
reappearing as the metric with a multiplicative constant in the contracted
Bianchi identities. In Weyl space the covariant derivative of the metric is
gmn;a = -Aa gmn
The lost invariance is that of local scale. Mathematically, the Weyl gauge
vector devolves to a gradient and the geometry becomes Riemannian, and
length becomes integrable. When A devolves to a gradient,
gmn;a = -phi;a gmn = (-phi gmn);a
so
(1 + phi) gmn;a = gmn;a
implying
gmn;a = 0
This now allows the CC to be introduced, which actually amounts to the
now-global length scale. Thus the geometrical problem has become reducible,
and we violate the sacred law of irreducibility of physical objects. I say
"sacred" because *nowhere* in physics does an essentially reducible object
correspond to a unique physical entity. This principle is perhaps as basic
as Lorentz invariance for determining the mathematical description of
physical objects. I therefore cannot understand the obsession with the CC.

Signature
-drl