Curved space videos
(i.e.,
Curved space
videos
):
Non-Euclidean Geometry Explained - Hyperbolica Devlog #1 | 10:53
:
Yours truly
does
NOT
guarantee the accuracy of this
video
, but it seems OK. An intro explication
non-Euclidean geometry
. Not appropriate for the
classroom
.
Spherical Geometry Is Stranger Than Hyperbolic - Hyperbolica Devlog #2 | 4:00
:
Yours truly
does
NOT
guarantee the accuracy of this
video
, but it seems OK. The
narrator
is actually illustrating
3-spherical geometry
which is the geometry of the surface of a
hypersphere
in a
4
-dimensional
Euclidean space
Yours truly
thinks that in the just as for the
2-spherical geometry
case, the
narrator
only illustrates a "hemisphere" with a "ground". Otherwise, as the observer looks off in the distance they would see the back of their
head
if there were
NO
obstruction and things would generally look even weirder. In fact, a class of
Friedmann equation (FE) models
of the
universe
have
3-spherical geometry
. These
Friedmann equation (FE) models
include the
Einstein universe (1917)
which is the first
general relativistic
cosmological model
and was discovered by
Albert Einstein (1879--1955)
himself in
1917
. Not appropriate for the
classroom
.
Rendering Hyperbolic Spaces - Hyperbolica Devlog #3 | 6:03
:
Yours truly
does
NOT
guarantee the accuracy of this
video
, but it seems OK. On
hyperbolic space
. A bit deeper in the
arcana
. Not appropriate for the
classroom
.
Local file:
local link: curved_space_videos.html
.
File:
Relativity file
:
curved_space_videos.html
.