Comment by Jerrrrrrry
Comment by Jerrrrrrry a day ago
>space cone
>light cone
cone
outside of an event horizon the 3d projection of a `light cone` (all possible spacetime causality/light/info could observe) would be an omni-directional sphere - your own observable universe, essentially - composed of ever-reddening beam of causality, being drag thru the 4th dimension, time...which results in a conebut inside of an event horizon, that cone is actually an ever-narrowing beam in an ever-increasing gravitational field, slowing on the 4-d axis too. all ending in one 'point'.
my point being that the waist is infinitesimally, but not actually infinitely, small.
The cylinder I referred to is the outgoing side of the light cones at the horizon. The horizon itself is a lightlike surface. So the distinction you appear to be trying to draw here is simply invalid for a black hole horizon.
hawking radiation evaporates larger black holes more than smaller black holes. even if not the most testable (understatement), 4/3 * pi * r^3 where r gets smaller infinitesimally is a cone when plotted over the 4th dimension.outside of the event horizon the "light cone" would "be" a "barely-parallel" "cylinder" yes.
the universe with all of its forever-unreachable parties outside each others sphere of causality would be like a 4-d porcupine ball.
but it doesn't look like any actual physical model that I'm aware of.
these aren't exactly intuitive geometries XD
Sorry, but your statements still don't describe an actual physical model.
> the 3d projection of a `light cone`
Is not well-defined.
> all possible spacetime causality/light/info could observe...your own observable universe
This is a past light cone. The light cone whose outgoing side is the event horizon of a black hole is a future light cone.
> inside of an event horizon, that cone is actually an ever-narrowing beam in an ever-increasing gravitational field, slowing on the 4-d axis too. all ending in one 'point'.
Nope, wrong.
> hawking radiation evaporates larger black holes more than smaller black holes
Wrong. The intensity of Hawking radiation goes like the inverse cube of the mass. Smaller holes radiate more than larger holes.
> these aren't exactly intuitive geometries
Yes, indeed. Which means you shouldn't be trying to understand them intuitively the way you are doing. You should be looking at the actual math.