3 ms·

For extra mind blowing, do compare the Schwarzschild mass of the observable universe and its radius. Spoiler: gurl ner abg whfg fvzvyne, gurer ner gurbergvpny

by lrem 6y ago

For extra mind blowing, do compare the Schwarzschild mass of the observable universe and its radius. Spoiler: gurl ner abg whfg fvzvyne, gurer ner gurbergvpny erfhygf gung gurl unir gb or rdhny. Hasbeghangryl gur cncre vgfrys nffhzrq jnl zber culfvpf xabjyrqtr guna V unir. Ohg, guvf znxrf bhe havirefr pbafvfgrag jvgu gur fvzcyr qrsvavgvba bs oynpx ubyr ("n znff ragveryl jvguva vgf Fpujnemfpuvyq enqvhf").

grandchild 6y ago
So I quickly did a back-of-envelope calculation using [0] for source of mass and diameter of the universe. Then I used the formula given in [1]: r = (2 G M) / (c^2). You have: (2 * G * 1.5 * 10^56 grams ) / (c^2) You want: lightyears * 2.3548373e+10 So about 23,548,373,000 ly of SR, while the radius of the observable universe is given as ~46,500,000,000 ly. So the ordinary-matter ratio is about half the density of a black hole. Not quite there, but still _much_ closer than I would have thought! If we account for not just ordinary matter but dark matter (a ratio of 4.9% to 26.8%) the picture is different: You have: (2 * G * (1.5 * 10^56 grams + (1.5/4.9*26.8) * 10^56 grams) ) / (c^2) You want: lightyears * 1.5234355e+11 So the SR then would be about 5 times larger. But I have no idea whether dark matter would count towards the black hole mass and SR, and I don't know if anyone does. [0] https://en.wikipedia.org/wiki/Observable_universe https://en.wikipedia.org/wiki/Observable_universe [1] https://en.wikipedia.org/wiki/Schwarzschild_radius https://en.wikipedia.org/wiki/Schwarzschild_radius (The scientific calculator I used, which is awesome every day is "units" btw: https://linux.die.net/man/1/units https://linux.die.net/man/1/units)
- gnramires 6y ago
  Yes, dark matter has mass, this is its defining characteristic: it seems to be a detectable mass, just doesn't interact electromagnetically. In any case, it's important to note the Schwarzchild model is a spherically symmetrical ball. Mass in our Universe seems more or less uniformly dispersed (with some anisotropy). Without a center for mass to collapse, I suspect the black hole dynamics don't apply.
layoutIfNeeded 6y ago
Hint: Caesar cipher

by lrem 6y ago

grandchild 6y ago

So I quickly did a back-of-envelope calculation using [0] for source of mass and diameter of the universe. Then I used the formula given in [1]: r = (2 G M) / (c^2). You have: (2 * G * 1.5 * 10^56 grams ) / (c^2) You want: lightyears * 2.3548373e+10 So about 23,548,373,000 ly of SR, while the radius of the observable universe is given as ~46,500,000,000 ly. So the ordinary-matter ratio is about half the density of a black hole. Not quite there, but still _much_ closer than I would have thought! If we account for not just ordinary matter but dark matter (a ratio of 4.9% to 26.8%) the picture is different: You have: (2 * G * (1.5 * 10^56 grams + (1.5/4.9*26.8) * 10^56 grams) ) / (c^2) You want: lightyears * 1.5234355e+11 So the SR then would be about 5 times larger. But I have no idea whether dark matter would count towards the black hole mass and SR, and I don't know if anyone does. [0] https://en.wikipedia.org/wiki/Observable_universe https://en.wikipedia.org/wiki/Observable_universe [1] https://en.wikipedia.org/wiki/Schwarzschild_radius https://en.wikipedia.org/wiki/Schwarzschild_radius (The scientific calculator I used, which is awesome every day is "units" btw: https://linux.die.net/man/1/units https://linux.die.net/man/1/units)

gnramires 6y ago
Yes, dark matter has mass, this is its defining characteristic: it seems to be a detectable mass, just doesn't interact electromagnetically. In any case, it's important to note the Schwarzchild model is a spherically symmetrical ball. Mass in our Universe seems more or less uniformly dispersed (with some anisotropy). Without a center for mass to collapse, I suspect the black hole dynamics don't apply.

layoutIfNeeded 6y ago

Hint: Caesar cipher