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An Einstein Ring is a special case of gravitational lensing, caused by the exact alignment of the source, lens, and observer. This results in symmetry around the lens, causing a ring-like structure. [2] The geometry of a complete Einstein ring, as caused by a gravitational lens. The size of an Einstein ring is given by the Einstein radius.
A(u) always decreases as u increases, so the closer the alignment, the brighter the source becomes. As u approaches infinity, A(u) approaches 1, so that at wide separations, microlensing has no effect. Finally, as u approaches 0, for a point source A(u) approaches infinity as the images approach an Einstein ring.
ER = EPR is a conjecture in physics stating that two entangled particles (a so-called Einstein–Podolsky–Rosen or EPR pair) are connected by a wormhole (or Einstein–Rosen bridge) [1] [2] and is thought by some to be a basis for unifying general relativity and quantum mechanics into a theory of everything. [1]
The same value as Soldner's was calculated by Einstein in 1911 based on the equivalence principle alone. [13]: 3 However, Einstein noted in 1915, in the process of completing general relativity, that his (and thus Soldner's) 1911-result is only half of the correct value. Einstein became the first to calculate the correct value for light bending.
A new photograph from the Hubble Space Telescope shows a stunning “Einstein Ring” billions of light-years from Earth — a phenomenon named after Albert Einstein.
For a dense cluster with mass M c ≈ 10 × 10 15 M ☉ at a distance of 1 Gigaparsec (1 Gpc) this radius could be as large as 100 arcsec (called macrolensing). For a Gravitational microlensing event (with masses of order 1 M ☉) search for at galactic distances (say D ~ 3 kpc), the typical Einstein radius would be of order milli-arcseconds ...
The rotating disc and its connection with rigidity was also an important thought experiment for Albert Einstein in developing general relativity. [4] He referred to it in several publications in 1912, 1916, 1917, 1922 and drew the insight from it, that the geometry of the disc becomes non-Euclidean for a co-rotating observer. Einstein wrote ...
The ring is now Lorentz-contracted and rotated with respect to the bar, and the bar is uncontracted. Again, the ring passes over the bar without touching it. A problem very similar but simpler than the rod and grate paradox, involving only inertial frames, is the "bar and ring" paradox. [5]
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