are there curvatures of curvatures or
the curvatures are just flat?

"flat space" is a mathematical illusion, not very
unlike "flat earth",,,

both are "flat," sure enough!, that is, if your
VIEW, your LOCALITY, is taken from a particular
region of a vast curvature.

to a tiny ant, a colesium dome is pretty "flat"
all right, and to most people, the earth's darn
"flat," too; so those "primitve" "flat earth
society" people ain't that primitive --- they're
merely talking/describing the geodesic earth
from THEIR LOCALITY of the curvature!

it is incredible insane and irresponsible for
scientists to keep perpetuating nonsensical
things like space is "flat" --- but when you ask
exactly what they meant by that, they give you
a balloon example, saying:

"Look at this little balloon here. You notice
the curvature of the surface, right? Well, just
imagine this thing represented the cosmos and
imagine it having been expanding, more or less,
ON AVERAGE, at the speed of light (this because
distances are perpetually come into existence
between two objects --- making the average
distance between two extremely far-apart objects
"expanding" faster than the speed of light) for
some 13-15 billion years! Won't the surface of
this thing be, for all intents and purposes, FLAT?"

to me, that's one of the most stupid mathematical,
or, rather, verbal, descriptions of "flat-ness",,,

that, again, is EXACTLY no difference from "flat
earth society" members saying THEIR EARTH is
incredibly flat! Of course, it is flat!, from
OUR LOCAL VIEW, here and now!

"intrinsic" Riemann geometry seemed to have been
forgotten by these physcists and mathematicians,
when they make such idiotic remarks. indeed, the
man, Einstein, also seemed to have disregarded
intrinsic geomety, when he said space is "flat"
SIMPLY because of its size! Of two spheres, it
is a given the bigger one is FLATER, but "flat" in
some "absolute" or intrinsic sense is sheer
nonsense,,,

answer to your question, then: no, curvature is
NOT flat --- 'tis why we call it "curvature"; if
by that you mean, are the LOCAL, incremental
spaces along an impossible big sphere FLATER than
those of a much smaller sphere, THEN, the answer
is, yes!

A colesium dome, again, to a tiny microscopic
insect is VERY FLAT, and the surface of the earth
to THAT same micrope is EVER FLATER!,,, but that
does NOT mean the EARTH is FLAT, much less
absolutely or intrinsically flat! Neither is
space, is that's taken to by synonymous with the
geodesic intrinsic-ness or property of the cosmos,,,

Big Crunch wrote:
are there curvatures of curvatures or
the curvatures are just flat?

so the ballone is curved, but what fluid feels
the ballone and what and where is it spread
out in ouer universe?

wrote in message ups.com...
"flat space" is a mathematical illusion, not very
unlike "flat earth",,,

both are "flat," sure enough!, that is, if your
VIEW, your LOCALITY, is taken from a particular
region of a vast curvature.

to a tiny ant, a colesium dome is pretty "flat"
all right, and to most people, the earth's darn
"flat," too; so those "primitve" "flat earth
society" people ain't that primitive --- they're
merely talking/describing the geodesic earth
from THEIR LOCALITY of the curvature!

it is incredible insane and irresponsible for
scientists to keep perpetuating nonsensical
things like space is "flat" --- but when you ask
exactly what they meant by that, they give you
a balloon example, saying:

"Look at this little balloon here. You notice
the curvature of the surface, right? Well, just
imagine this thing represented the cosmos and
imagine it having been expanding, more or less,
ON AVERAGE, at the speed of light (this because
distances are perpetually come into existence
between two objects --- making the average
distance between two extremely far-apart objects
"expanding" faster than the speed of light) for
some 13-15 billion years! Won't the surface of
this thing be, for all intents and purposes, FLAT?"

to me, that's one of the most stupid mathematical,
or, rather, verbal, descriptions of "flat-ness",,,

It is stupid indeed.
That is why they use the balloon picture of the Universe
to illustrate its curvature (and *not* its flatness) on a
large scale.


that, again, is EXACTLY no difference from "flat
earth society" members saying THEIR EARTH is
incredibly flat! Of course, it is flat!, from
OUR LOCAL VIEW, here and now!

Right, and the same goes for the local view of a
possibly curved (on a grand scale) Universe. At a
small enough scale it is flat - locally. That's the
domain of special relativity.


"intrinsic" Riemann geometry seemed to have been
forgotten by these physcists and mathematicians,
when they make such idiotic remarks. indeed, the
man, Einstein, also seemed to have disregarded
intrinsic geomety, when he said space is "flat"
SIMPLY because of its size! Of two spheres, it
is a given the bigger one is FLATER, but "flat" in
some "absolute" or intrinsic sense is sheer
nonsense,,,

It seems you have forgotten the basics of Riemmann
geometry.
Or perhaps you have misunderstood some of those
physcists and mathematicians.

Dirk Vdm