What is the Time Dilation Relationship Near a Black Hole's Event Horizon?

[Samuel A. (Sam) Cox]

Hi:

A couple of people on this forum have this formula reduced to a software program.

As an object nears a black hole, and is remotely observed, it appears to slow and hang suspended over the event horizon...time slows in any gravitational field with respect to a remote and less affected location.

One second of time at the remote observation location is equivalent to what amount of time for an object poised at say 10 to the minus 36th Cm above the event horizon of a black hole? Consider the object going into the black hole to be a point mass with no radius of its own...I'm only interested in the time dilation relationship; remote observing an object at 10 to the minus 36th Cm above the event horizon of a black hole.

Thanks, Sam Cox

 

[Mortimer]

The equation was already shown in the thread "What is time dilation". Fill in for r=2GM/c^2+10^{-34}

Expression for time dilation in a gravity field:

\frac{\Delta t_r}{\Delta t_{\infty}}=\sqrt{1-\frac{2GM}{rc^2}

The equation calculates the ratio between a time interval at radius r and a time interval at infinity. G is the gravity constant, M the mass.
The Schwarzschild radius is at r=2GM/c^2

 

[Samuel A. (Sam) Cox]

Hi Mortimer, 10:44EDT Monday 4/25/05

That was quick. Yes, I've already read the threads and noticed your name. I mentioned software, because I really could use a set of information...10 to the minus 30,31,32,33,34,35,36,37,38 CM

In case you are curious, for about 5 years I've been conceptualizing a GR/QM/SRT dual universe in 7 foundational dimensions, complete with inverse mapping, in the presumption that the dualism of GR and the Schwarzschild Mirror Geometry may not be mathematically vestigial.

This request for a set of data on time dilation close to the event horizon relates to the remote cross-reading of an inversely mapped universe on 4D event horizon surfaces via photonic entanglement.

The geometric model, a modified Schwarzschild Mirror Geometry with a Planck Realm at the center beautifully explains the anomalous gravitational acceleration of the Pioneer 10 and 11 spacecraft . You might be interested in seeing the math on that...

Right now I'm gathering a set of data which will (presumably) show that when the universe is cross-read remotely...one inversely mapped side to the other via phortonic entanglement- almost on the Planck Realm event horizon, the time dilation will be at some reasonable (and interesting) point exactly equal to the radius of the observed universe...the metric equivalent of 13.6 Billion Light Years.

In this scenario, space and time in the universe is created by the way we observe it at a certain place in scale...

Thanks again...Sam