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Sketch 3
View showing the dimensions of space
with mass drawn as a dimension
and all dimensions approaching infinity
I wanted to see mass approach infinity, and this sketch seemed to follow
the feeling of curvature suggested by the prior sketch.
It seems to imply that, as mass approaches infinity, the
curvature of the dimensions of space converge around the mass. . . .
Hawking's description of black holes
suggest their mass does approach infinity, and the dimensions of space
do curve at their surface. But this diagram seems to show the dimensions
of space approaching infinity around the black hole. My first instinct
is to correct this, but then I remember Einstein saying that the effect
of acceleration and gravity are indistinguishable. The Lorentz transformation
and Relativity suggest distance shrinks as velocity approaches c, so I
wonder if infinite mass would have the effect of acceleration to c, and
distance could shrink
enough around infinite mass that it would approach infinity along the
circumference of a black hole.
Flash Light 6-24-2002
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