Re: String langscapes and vacuum decay




Russell Wallace wrote:
> Leonard Susskind writes:
>
> " Is it possible to test the landscape idea through observation?

Observation is the only way to physically test *any* idea. We call this
concept 'empiricism.'

> One idea is to look for signs that space is negatively curved,
> meaning the
> geometry of space-time is saddle-shaped as opposed to flat or like
> the surface of
> a sphere.

In a large universe the apparent population of galaxies in a given
angular sector of space will depend on their distance and the overall
curvature of the space.

In a homogeneous 'flat' universe (no curvature) the number of galaxies
in such a sector will increase in direct proprtion to the square of the
distance from the observer. This is a result of the so-called 'inverse
square' law.

In a homogeneous 'spherical' universe (positive curvature) the number
of galaxies is finite, and the apparent number of galaxies per angular
sector at any given distance will not increase as fast as the square of
the distance.

In a homogeneous 'hyperbolic' universe (negativecurvature) the number
of galaxies is infinite, and the apparent number of galaxies per
angular sector at any given distance will increase faster than the
square of the distance. In a sufficiently large universe this would
manifest as an incredibly bright night sky (Google "Olber's Paradox").

Tom Davidson
Richmond, VA

.



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