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*From*: John Denker <jsd@av8n.com>*Date*: Fri, 9 Oct 2020 08:59:45 -0700

On 10/9/20 5:51 AM, Ron Mcdermott via Phys-l wrote:

Jack is 'near' the event horizon. Let's say that from his pov it will take

a year to pass that horizon (moving 'slowly'; as the gravitational effect

on time is the issue).

Jane is further away and stationary, but close enough that the time delay

for light travel is inconsequential. In HER timeline it takes, let's say,

two years to see Jack cross the event horizon.

The black hole evaporates at the 1.5 year mark in Jill's timeline.

I assume Jill is a nickname for Jane.

The question boils down to: Where is Jack?If I understand the question, it really has nothing to do with black

My feeling is that Jack is 3 months from the previous event horizon. His

is that this is a paradox because, according to Jack's timeline, he OUGHT

to have passed the event horizon.

holes or event horizons. It's just a question of timing, in the presence

of a gravitational red shift. Any sufficiently-deep gravitational potential

(singular or not) will behave the same for present purposes.

Suppose it takes Jack 12 months to build a boat.

Short answer: There is a simple linear relationship between Jack-timeand Jane-time.

24 months@Jill = 12 months@Jack = finished boat.

18 months@Jill = 9 months@Jack = 3 before finished.

In more detail: Let's assume Jack is hovering in a gravitational potential

at a depth where the gravitational redshift is Z=3. Let Jane be hovering

at Z=1.5, i.e. half as deep. The situation is shown in this diagram:

https://www.av8n.com/physics/img48/grav-red-shift-timing.png

Because of the curvature of spacetime, we cannot faithfully represent the

situation in a flat Euclidean 2D diagram, so we have to use our map-making

skills. This is an orange-peel projection. The red-shaded regions exist

in spacetime, whereas the intervening gray regions do not exist. You could

cut out the red-shaded regions and paste them together in 3D to get rid of

the discontinuities in the representation, but even that would still be

imperfect. Getting rid of the singularity would make things easier.

Flat spacetime exists somewhere way off to the right, at large r.

The black lines are contours of constant time (simultaneity) according to

an observer out there in flat spacetime.

**References**:**[Phys-L] mon-linear ears.***From:*bernard cleyet <bernard@cleyet.org>

**Re: [Phys-L] mon-linear ears.***From:*bnorwood111@gmail.com

**Re: [Phys-L] Black hole and time question***From:*Ron Mcdermott <rmcder@gmail.com>

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