3 ms·
CMB rest frame is important and special unique frame to use as a reference. Relativity means that there are no special frames where the laws of physics are dif
by nabla9 5y ago
CMB rest frame is important and special unique frame to use as a reference.
Relativity means that there are no special frames where the laws of physics are different.
- ithkuil 5y agothe CMB is a bit mind bending; it's related to the question "if the universe is expanding, in the past it was smaller and smaller; so where is the center?" Good read where you'll also learn about the "The Surface of Last Screaming": https://ned.ipac.caltech.edu/level5/March03/Lineweaver/Lineweaver7_2.html https://ned.ipac.caltech.edu/level5/March03/Lineweaver/Linew...
- cout 5y agoI understand how there can be no center if the universe has positive curvature. But if the universe is saddle-shaped and non-infinite, surely there has to be a center?
- effie 5y agoI think not; consider pseudosphere, there is no obvious center. Its embedding in 3D space has infinite dimensions but the object itself has finite surface area. https://en.wikipedia.org/wiki/Pseudosphere https://en.wikipedia.org/wiki/Pseudosphere If you mean object with finite dimensions and negative curvature and no center, there seems to be such a thing, see Fig. n066200e: https://encyclopediaofmath.org/wiki/Negative_curvature,_surface_of https://encyclopediaofmath.org/wiki/Negative_curvature,_surf... EDIT Rozendorn's idea seems to be still an open question: https://mathoverflow.net/questions/52851/the-geometry-of-nadirashvilis-complete-bounded-negative-curvature-surface https://mathoverflow.net/questions/52851/the-geometry-of-nad...
- feoren 5y agoRather than think "surface of a balloon inflating", think "surface of an (infinite?) rubber sheet being uniformly stretched". It does intuitively seem like if there is 0 curvature and no "center", then the universe must be infinite though ...