## Tuesday, December 21, 2010

### Grenze

I'm reaching the edge of my sanity

Music by: Pink Floyd [ The Great Gig in the Sky]

## Monday, December 13, 2010

### Gerüst

"... soon comes rain
frost or flames
skeleton me

Fall asleep
spin the sky
skeleton me
Love, don't cry..."

Music by: The YYY's [Skeletons]

## Thursday, December 09, 2010

### Ereignishorizont

An event horizon is a boundary in spacetime beyond which events cannot affect an outside observer. The most common case of an event horizon is that surrounding a black hole. Light emitted from beyond the horizon can never reach the observer. Likewise, any object approaching the horizon from the observer's side appears to slow down and never quite pass through the horizon, with its image becoming more and more redshifted as time elapses. The traveling object, however, experiences no strange effects and does, in fact, pass through the horizon in a finite amount of proper time.

The most commonly known example of an event horizon derives from general relativity's description of a black hole, a celestial object so dense that no nearby matter or radiation can escape its gravitational field. Often, this is described as the boundary within which the black hole's escape velocity is greater than the speed of light. However, a more accurate description is that within this horizon, all lightlike paths (paths that light could take) and hence all paths in the forward light cones of particles within the horizon, are warped so as to fall farther into the hole. Once a particle is inside the horizon, moving into the hole is as inevitable as moving forward in time, and can actually be thought of as equivalent to doing so, depending on the spacetime coordinate system used.

Here I must cite a proper font to describe a suitable definition:

"The criterion for determining whether an event horizon for the universe exists is as follows. Define a comoving distance dE by

$d_E=\int_{t_0}^\infty \frac{c}{a(t)}dt\ .$

In this equation, a is the scale factor, c is the speed of light, and t0 is the age of the universe. If $d_E \rightarrow \infty$ (i.e. points arbitrarily as far away as can be observed), then no event horizon exists. If $d_E \neq \infty$, a horizon is present... "

The description of event horizons given by general relativity is thought to be incomplete. When the conditions under which event horizons occur are modelled using a more comprehensive picture of the way the universe works, that includes both relativity and quantum mechanics, event horizons are expected to have properties that are different from those predicted using general relativity alone.

At present, it is expected that the primary impact of quantum effects is for event horizons to possess a temperature and so emit radiation. For black holes, this manifests as Hawking radiation, and the larger question of how the black hole possesses a temperature is part of the topic of black hole thermodynamics. For accelerating particles, this manifests as the Unruh effect, which causes space around the particle to appear to be filled with matter and radiation.

Duh....