Suppose you see a near perfect Einstein ring; every observed beam from the lensed object follows a curved space geodesic to the observer, with the lensing mass positioned between. Suppose the lensing mass is partly open and light from the lensed object has a straight line to the observer. Straight line's shorter than the ring geodesics if space isn't curved. Theory says light is red- or blue-shifted by gravity, speed's unchanged, so "straight line" path seems to have least delay.
Actually wouldn't a closed universe better be described mathematically as a 4D ellipsoid rather than a 4D sphere? In 3D an open quadric surface looks like a saddle but a surface that is "just barely" closed looks like a highly elongated ellipsoid. I would imagine the same eccentricity would apply to a closed universe model as well.
Suppose you see a near perfect Einstein ring; every observed beam from the lensed object follows a curved space geodesic to the observer, with the lensing mass positioned between. Suppose the lensing mass is partly open and light from the lensed object has a straight line to the observer. Straight line's shorter than the ring geodesics if space isn't curved. Theory says light is red- or blue-shifted by gravity, speed's unchanged, so "straight line" path seems to have least delay.
CACBCCCU 1 year ago
Actually wouldn't a closed universe better be described mathematically as a 4D ellipsoid rather than a 4D sphere? In 3D an open quadric surface looks like a saddle but a surface that is "just barely" closed looks like a highly elongated ellipsoid. I would imagine the same eccentricity would apply to a closed universe model as well.
ComradeSephiroth 2 years ago
the clothes and face hair
TheOriginProject 3 years ago
2:53 i couldn't help but laugh, what a great outfit! and side-burns!
TheOriginProject 3 years ago