Originally posted by bum_phantom
thanks for that Neon. As always yields positive results.
and you are right the calculus in the second paper has just gone over my head: Dont suppose you can give a brief summary of the paper outline?
No problem Phantom.
The Time Dilation in a gravity well paper defines the calculations needed to work out several key components of the gravitational radius of various
A Schwarzschild radius is the minimum spherical radius a mass has to be to become a singularity.
The most interesting calculations on this paper are the following.
The equations above are the calculations needed to give the exact amount of time dilation between two vectors.
The amount of time dilation beyond the event horizon of a black hole effects both time and space and this depends on the total mass of the black
Though once an object falls beyond an event horizon of super massive black holes, such as Sagittarius A (the black hole at the centre of the milky
way) the gravitational waves experienced are far less strong, as the longitude of the wave is also far higher.
So in the case of a super massive black hole the time dilation effects are will be felt far more slowly by any object falling in.
The best way to visualise this is image you are in a boat in the middle of the ocean. Now image very strong and fast small waves. The boat you are in
is likely to capsize due to the frequency of the waves.
Now image you are in the same boat but this time, the waves carry far more energy but the waves are higher and slower. This time, your boat sales over
the crest of the waves with very little ill effect.
matter falling into a black hole is effected in a very similar way, except instead of a ship floating across the surface your ship is travelling
within the waves themselves.
The smaller the Schwarzschild radius is the tighter the gravitational waves become the more violently different the gravitational forces at any given
This is where we get the term Spaghettification. Because as you fall into a black hole of a few solar masses the gravitation waves stretch you out
into nothing more than a stream of atoms, visualised as a string of spaghetti
But with a Super massive black hole, spaghettification does not occur. You simple fall past the event horizon with no ill effects from the observer.
However.... As you travel closer to your ultimate doom (a crunching singularity) you would see all the stars and the rest of the universe shrink to
nothing more than a point of light over your head.
From an observer’s point of view looking in, it's a very different story. They would see you slowing down the closer you got to the event horizon
to eventually dim out of existence.
In truth, the observer looking in wouldn't ever see you actually cross the event horizon, this is because of the effects gravity has on light, it’s
a kind of optical illusion, caused by the apparent slowing down of light speed.
In all actuality, light speed is not slowing down, however around the event horizon, space speeds up to reach that of light speed, giving the
impression to an observer that light stands still.
However, the light emitted by any object fallen towards the event horizon has a finite life. What the observer would see is the object getting ever
dimmer, until eventually the object would just wink out.
Hope that all helps.
All the best,