Comment by pdonis

Comment by pdonis 10 months ago

6 replies

> the physical 3d analogous projection would be two slightly overlapping 3d-venn diagram funnels conjoining at an "indefinitely" (asymptotically smaller) small space-time minkowski manifold.

I'm not sure what you mean by this, but it doesn't seem to correspond to any actual physical model that I'm aware of.

Jerrrrrrry 10 months ago

both objects have a space cone that is overlapping - since they can observe each other, but also have a small bit they xor can observe, since they are a spatialtime distance apart.

regardless, once they are inside the event horizon, their spacetime ends in a "singularity" - that only they experience, since everyone else just saw an ever-slowing couple of observers that never quite reached the event horizon (to the outside observer, who would eventually be either iron or protons, depending if God had decided if they protons should decay or not yet)

i was just pointing out cone versus cylinder, since the black holes' effect is polynomial af

  • pdonis 10 months ago

    > both objects have a space cone that is overlapping

    Again, I don't know what you mean by this, but it doesn't look like any actual physical model that I'm aware of.

    > i was just pointing out cone versus cylinder

    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.

    • Jerrrrrrry 10 months 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 cone

      but 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
      • pdonis 10 months ago

        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.