First off, I'd like to point out that I am by no means an expert in this area, and I am only doing some casual research as a personal interest topic, and have some further unanswered questions that I'm unable to find reasonable answers for. These questions are all inter-related, so I'll post them together.(adsbygoogle = window.adsbygoogle || []).push({});

The following assumptions immediately below may be flawed, or simply incorrect, so please correct the shortcomings in my understanding if you know better:

1. From what I can interpret from the Schwarzchild radius, the event horizon of a black hole is effectively the proximity to said black hole where the exterior cumulative acceleration from to the force of gravity will generate a net change in velocity equivalent equal to the speed of light

IE: the Schwarzchild radius is such that any particle traveling from free fall towards the black hole in question reaches the speed of light at this point, with respect to the frame of reference of a distant observer.

IE: the total depth of the gravity well outside the Schwarzchild radius imparts a velocity of c to any distant object.

2. The speed of light is a constant. Photons must always travel locally at the speed of light, regardless of any other forces on them.

IE: a photon generated slightly above the surface of an event horizon of a Black Hole traveling away from the Black Hole will travel outwards at the speed of light, and if unobstructed, eventually escape the Black Holes gravitational influence, and continue traveling at speed c. (other effects such as frequency shift and energy loss could make it possible to characterize such a photon)

3. Gravitational Time Dilation causes time to slow down, with respect to a distant observer, proportional to the speed of light.

IE: as an observer approaches the speed of light, time slows down in comparison to a distant observers reference frame.

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Given the above assumptions, here are the questions:

1. I don't understand the mechanism by which this photon can not continuously (albeit slowly, and with much red-shift) continue to egress the Black-hole. If a photons velocity is constant at c, how is it possible that a black hole can effect its velocity, short of Gravitational Time Dilation, or Frame dragging? It is understandable to me that any photon not attempting to exit the black-hole perfectly normal to its surface could be tangentially bent back to the surface of the black hole, but short of allowing the speed of a photon to be locally effected, or invoking frame-dragging effects, shouldn't such a photon be able to escape from even the inside of the Schwarzchild radius?

2. I don't understand how a singularity can occupy an infinitesimally small space. Would not the very same mechanism which causes the acceleration of objects towards the black-hole, and the frame-dragging effect, and the inhibition of any egress of mass or energy also cause extreme time dilation with the net effect that objects in the gravity well of the black-hole reach a speed of exactly 100% of c, thereby causing no passage of time locally? If so, would this mean that the singularity encapsulates the entire volume of the minimal state of the gravity well, and that the volume was finite (and potentially equally in size to the absolute horizon)?

Thanks for your time,

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# Schwarzschild Radius, Constantcy of Light speed, and Time Dialation

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