Measuring the Hubble Constant Better 102
eldavojohn writes "The Hubble Constant is used for many things in astrophysics: from determining how fast things are moving away from us, to the total volume of the universe, to predicting how our universe will end. The current best value for the Hubble Constant is 74.2 ± 3.6 (km/s)/Mpc according to recent conventional methods and the recently restored Hubble Telescope. Most astronomers agree that that's within 10% of its actual value. Researchers now claim that they might be able to get to 3% using water molecules in galactic disks to act as masers that amplify radio waves, to analyze galaxies seven times as far away as the current measurements. The further away the 'standard candle' is, the more assured they can be that local effects are not skewing the measurements. From one of the researchers: 'We measured a direct, geometric distance to the galaxy, independent of the complications and assumptions inherent in other techniques. The measurement highlights a valuable method that can be used to determine the local expansion rate of the universe, which is essential in our quest to find the nature of dark energy.' Once the Square Kilometer Array is completed, they hope to get even closer to the actual value."
Hubble constant now a misnomer (Score:4, Interesting)
From what I know, it's been discovered in the past decade or so to not be a constant. The expansion of the universe is accelerating. This is a minor nitpick, I know. :-)
Re:Hubble constant now a misnomer (Score:5, Funny)
(second rule: Variables won't)
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Didn't they already figure out how they screwed up creating the Hubble telescopes main mirror? Or is the mirror warping now?
And didn't they just do the last fix on it just last month?
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Doesn't this constant place an additional limit on the size of the universe (or at least the part of the universe we're ever going to see) ?
c / 74.2 km/s * Mpc = 300000 / 74.2 * 3 261 636.26 lightyear (1 Mpc = 3 261 636.26) or about 1.31872075 Ã-- 10^10 lightyear, about 13 billion lightyear.
Because at that distance, the stars would be moving away from us at light speed, so in reality there's an event horizon between us and stars at that distance. Light from stars further away would never reach us, due
no, that's not right (Score:2)
Universe expansion will create causal separation in the future, but not the past. It doesn't limit how far away you can see something, because you are looking at something in the past, but it does prevent you from going there. Because looking backward in time, the universe is shrinking, and you can see more and more of the universe going back. Looking forward in time, everything is getting more separated, and, for far regions of space, the rate of separation is higher than light can catch up to.
In the scena
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Universe expansion will create causal separation in the future, but not the past. It doesn't limit how far away you can see something, because you are looking at something in the past, but it does prevent you from going there. Because looking backward in time, the universe is shrinking, and you can see more and more of the universe going back. Looking forward in time, everything is getting more separated, and, for far regions of space, the rate of separation is higher than light can catch up to.
You just blew my mind
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ing back. Looking forward in time, everything is getting more separated, and, for far regions of space, the rate of separation is higher than light can catch up to.
This can only be if there are (massive) regions of space moving faster than light, relative to us.
That an entire galaxy would get accelerated to even a small percentage of light speed is hard enough to believe, but even something like 50% light speed cannot be the speed of a galaxy. Just think of the energy required to accelerate it. FTL is supposed to be impossible, and no respectable scientist can seriously believe that there are so many galaxies moving faster than light, right ?
It's somewhat more subtle than that. The galaxy isn't 'racing through space', space itself is expanding -- between us and the galaxy mostly, since galaxies tends to stick together due to gravitation.
This can be, over long distances, percieved to happen at a FTL rate, though nothing is actually moving at that rate. And relatively speaking, that FTL galaxy is unmeasurable, since you will never see it racing away from you.
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And how come it's measured in some stupid space unit? It's a frequency so it wants hertz!
http://www19.wolframalpha.com/input/?i=hubble+constant+in+hertz [wolframalpha.com]
It's called SI. Get with the program dudes.
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And how come it's measured in some stupid space unit? It's a frequency so it wants hertz!
The Hubble constant tells you the speed that astronomic objects move away from us (or from any point in the universe, cf. Galilei invariance) depending on how far it already is, hence (km/s)/Mpc. An object at the distance of 1 Mpc moves away at approximately 74 km/s.
Now what exactly does the value in Hz tell you? Nothing.
Re:Hubble constant now a misnomer (Score:4, Interesting)
The value in Hz gives you the scaling frequency of the universe. It makes sense to talk about the inverse of this frequency, which is in seconds, which is the time it takes for the universe to grow to e times its former size.
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It tells you everything. Multiply it by a distance - you get a speed. Way more useful than the other one IMHO.
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It's measured in "stupid space units" because it's used in astronomy, of course. "Kilometers per second per megaparsec" has a much more intuitive interpretation, when considering the speed at which distant galaxies are moving away from us, than does "cycles per second."
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Another example in astronomy is the unit given to monochromatic flux, which typically has units of Joules/meter^2/second/Hertz. Note that the unit has both seconds and Hertz.
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I have no wish to start an internet argument, nor is astrophysics my department, but I would bet you a shiny penny that if you did cancel them nothing bad would happen. Life would go on and all your calculations would be correct. (Assuming you got them right in the first place).
Counterexamples welcome.
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Is something "bad" going to happen? No. Does it make interpretation of the quantity more confusing? Absolutely.
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Think of Gauss's formula: e to the i x pi power +1 = 0.
This usually gets taught as part of second semester calculus or so. It gives some students headaches, because it emphasizes so strongly how raising a number to a power isn't really best understood as self multiplication once we get beyond the integers (It's fairly simple to see e to the 4th as e x e x e x e, but harder to imagine what e to the i or pi power involves). Just doing one of the simplest possible operations to the equation, making it read: e
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I think you need haskell to determine e that way :)
But where would you differentiate a constant? Like 2 is a constant, but d/dx(2^x)=(ln2)(2^x)!=0
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After the Big Bang, mutual gravitation of mass in the Universe slowed the rate such that expansion went at about t^(2/3) -- see http://en.wikipedia.org/wiki/Friedmann_equations [wikipedia.org] for the scale factor (rate of change of expansion) in a matter-dominated universe.
Einstein's General Relativity says that space contains energy -- called dark energy or vacuum energy, which has the effect of causing inflation. A
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Therefore we take the derivative of e^kt and get k*e^kt. Substituting, H(t) = k * e^kt / e^kt = k.
Thus H(t) is constant in an exponentially expanding universe.
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Some of the inflationary models also suggest the universe is very, very much bigger than the part we could theoretically see, a factor of about 10e30 times or more. (We could theoretically look back close to the total age of the universe, and because of expansion, the total distance would actually be at least a bit more than 2x larger than that roughly 12 Billion years would seem to allow, say 26-30 Billion LY radius.).
For those models where the total size of the universe is so
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*Checks the Hubble Constant* (Score:5, Funny)
Yep, he's still dead.
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I'd assume the dead state is 0, and the live state is 1 -- except Hubble was living while he calculated the value, so he may have assigned 0 to the live state, and 1 to the dead state. Or he might have foreseen my current problem and switched the values just to trick me.
Speaking of which (my current problem), it appears my doomsday machine has entered into a positive feedback loop, and I'll only know how to fix it and save the planet if I have the correct value. I'd appreciate a
Re:*Checks the Hubble Constant* (Score:4, Funny)
Poppycock.
The outcome of my doomsday machine is DEATH. And SUFFERING. Also, some Mountain Dew. But mostly DEATH.
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Our two outcomes are DEATH. And SUFFERING... And Mountain Dew..
Our three outcomes are...
On another note: What's the difference from Mountain Dew and DEATH?
Re:*Checks the Hubble Constant* (Score:5, Funny)
Yep, he's still dead.
But that measurement is only accurate to within 10%.
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'E's not dead! 'E's pinin' for the nebulas!
Volume of universe? (Score:1)
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AFAIK, the universe is not infinite in size, it is just infinite. The very same way a circle is infinite, but has a length, or a ball or torus a surface.
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That makes no sense. Thank you for playing. Maybe you mean a circle has an infinite number of points?
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Maybe you mean a circle has an infinite number of points?
Getting closer ... infinite number of tangents at a constant radius from one central point.
Infinite number of points is just any ole line or squiggle.
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Finite means limited; infinite means unlimited.
Now, take a circle. Put a pencil tip on one point and start moving it along the circumference (clockwise or counterclockwise, it doesn't matter). Now, get back to me when you've reached the end and can't go any further. You can continue infinitely far along a curve of finite length.
The ideas I've seen about an infinite but not infinitely-sized Universe tend to be more complicated, but it's the same general principle.
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Who modded "a circle is infinite" as insightful? A circle with a finite radius has a finite area, only a circle with infinite radius has infinite area. As the other responses to this say a circle does have some qualities which are infinite, but that doesn't make it infinite (anymore than 1 is infinite because it belongs to the natural numbers which are infinite is a good argument).
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I know what you're saying, but I think you're just confusing it.
The standard way to say this is that the universe is "finite but unbounded," in the same way that the [i]surface[/i] of a sphere is.
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The size of the Universe is entirely an unknown. As such, scientists don't talk about it much.
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There are some WMAP data in which the low quadrupole moment of the CMB patterns suggests that the universe might, in fact, be finite. But it's REALLY iffy in my opinion, and other than that, there's no evidence (AFAIK) for a finite universe, despite ubiquitous claim.
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The size of the Universe is entirely an unknown. As such, scientists don't talk about it much.
Not entirely unknown. We have some pretty good lower bounds on what it can be =).
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When people talk about whether the universe is infinite or not, they are referring to the whole thing.
When people talk about the volume, they are referring to the observable universe. The observable universe is about 93 light years across
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Good grief, I'm off by a factor of a billion and people complain. So picky :P
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The observable universe is about 93 light years across
So you're one of those reeeally young earth creationists...
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It isn't infinite in size. The size is approaching infinity, though. The universe is finite, but unbounded--meaning it is finite in volume at any given time, but is constantly increasing in size as space expands.
We may never know exactly "how big" the universe really is, since we are effectively cut off from whatever is beyond the edge of the observable universe. Anything that might be beyond that is expanding "away" from us faster than light--so we can never see it from here, and can likely never go the
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I mean it in the same sense as when you're talking about limits in calculus. The size of the universe is tending towards infinity--meaning it is growing without limits.
Re:Volume of universe? (Score:5, Informative)
The observable universe [wikipedia.org] is the region of space we can see. The universe has a finite age, so there is a finite distance over which we can see. Any further than that, and light literally hasn't had enough time to reach us. So there is indeed a boundary beyond which we cannot observe. This boundary recedes as time goes on. The universe is ~13.5 billion years old, but because the universe was expanding during all that time, the observable universe is bigger than just 13.5 billion light-years (see comoving distance [wikipedia.org])... in fact it is 46.5 billion light-years in radius.
Now there is every indication that the universe extends beyond the cosmological horizon. So as the universe ages, we see more and more of the full universe, which is much larger than our observation volume. So how big is the universe as a whole? Our best understanding right now is based on the curvature of spacetime [wikipedia.org]. If spacetime at large scales is curved, then the universe can loop back upon itself and thus the universe is finite. If spacetime is perfectly flat on cosmological scales, then in fact the universe as a whole is infinite in size.
Our best measurements indicate the universe is flat, within error. Our best theories of the origin of the universe, coupled with available data, generically predict that the universe is infinite. So our current best answer is that the universe is infinite in size/volume. A strange result, perhaps, but that's our best understanding of the current data. Now there are indeed errors on our measurements, so our universe could be smaller. But the curvature is so small that it implies our universe contains at least [mit.edu] 1000 Hubble volumes [wikipedia.org] (the Hubble volume is the surrounding space beyond which nothing is accessible since matter is receding faster than light). Others have analyzed the night-sky looking for 'repeat patterns' that would be expected for smaller closed universes, and no such patterns have been found.
So the observable universe is finite (but ever-expanding), and the full universe is considerably larger (infinite according to our current best data and theories).
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How big? (Score:2)
Once the Square Kilometer Array is completed
The name sounds impressive, but how big will it be?
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about 298997.51157527 square fathoms. HTH.
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Around pi * 318,309.886 m^2
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One square kilometre to begin with, although the rate at which it will be expanding is yet to be measured to sufficient accuracy.
Great Experimental Idea (Score:5, Informative)
1 - Distance measurements are currently kludged together very carefully using bridging. We use one measurement, for instance parallax based on the Earth's movement over 6 months, to show us the distance to a star that has some particular properties and which our models say should always be a certain luminosity. The parallax measurement has error bars.
2- Then we find a much more distant star of that same type that is near a particular type of supernova, and measure its brightness, comparing that to the brightness of our first star to give the distance to the distant star, and thus the supernova as well. That has bigger error bars.
3- Then we look for that type of supernova in very very distant galaxies. Supernovae are brighter than the rest of their galaxy put together while they're burning hot, so we can see them at tremendous distances. We use the measured brightness of that supernova to determine the distance to its galaxy.
4- Then we pair the knowledge of its distance with its velocity with respect to us, which we can determine through redshifting of something with a familiar spectrum. More error bars. That becomes a single point for the determination of the Hubble Constant (and yes, the "constant" is changing).
With only a cursory glance at TFA, it looks to me like this is a way to skip to step 3 or 4, thereby avoiding the need to bridge these length-scales using several techniques.
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More details here: http://en.wikipedia.org/wiki/Cosmic_distance_ladder [wikipedia.org]
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The trouble is that these galaxies aren't that far away (despite the article summary says). They're quite a bit further away than the previous measurements of water masers, but you still need to use Type Ia supernovae to actually get to the distances where this discussion gets interesting. The cool thing about the water masers is that they might allow us to get out a bit further without using another "rung" on the distance ladder, but there is no way that they are going to replace the (much, much more dista
Um, no. Hubble's assistant says its not a constant (Score:1, Troll)
Halton C. Arp, a professional astronomer was Edwin Hubble's assistant, says otherwise ...
http://www.electric-cosmos.org/arp.htm [electric-cosmos.org]
Electric Universe? (Score:2)
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Edwin Hubble's assistant isn't credible enough?!
lol !
--
William A. Tiller, Materials Sciences Department, Stanford University wrote: "The present scientific establishment has grown somewhat fossilized by its current world picture and is locked into a view of reality that has outlived its usefulness. It has begun to limit mankind's growth and has so increased its sense of specialization, separateness, materiality, and mechanical computer-like functioning that it is in real danger of self-extermination."
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> electric-cosmos.org is a proponent of the "electric universe" "theory" -- which has been thoroughly rejected over and over
NASA begs to differ... [elsevier.com]
The TSS-1R electrodynamic tether experiment: Scientific and technological results
N. H. Stonea, W. J. Raittb and K. H. Wright, Jr. c
a Space Sciences Laboratory, NASA Marshall Space Flight Center, Huntsville, AL 35812, USA
b Center for Atmospheric and Space Science, Utah State University, Logan, UT 84322, USA
c Center for Space Plasma and Aeronomic Research, Univer
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I am disappointed that this was the best you could come up with to support your theory. The existence of cosmic plasmas such as those encountered by the TSS-1R mission is quite widely accepted. Proving that they have the effects claimed by the theory you apparently advocate is quite another matter.
I read the first chapter of the book on electric-cosmos.org, and it mostly seems to be jeering at the complexity and unintuitive nature of current theories, while also heavily emphasizing the "unprovability" of an
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Maybe you can explain why these PhD's are so gullible for "buying" into a "currently unacceptable theory":
http://members.cox.net/dascott3/Endorsements.htm [cox.net]
"I really love this book. It is causing me to rethink a great deal of my own work. I am convinced that The Electric Sky deserves the widest possible readership.... I felt genuine excitement while reading and felt I was delving into a delicious feast of new ideas."
- Gerrit L. Verschuur, PhD, University of Manchester. A well-known radio astronomer and wri
Good enough? (Score:1)
Good Enough? (Score:2)
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> When I was doing university physics with a slide rule, three significant figures ( 74.2
> ± 3.6 (km/s)/Mpc) was good enough for anything.
When I was doing university chemistry with a book of log tables four significant figures was barely good enough for my homework.
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Indeed. This constant may not be a constant. It may not be the same everywhere in the universe. So by observing things very far away (distance and time), we may actually end up with a less accurate number for a `local' variable.
Bad Labrador (Score:2, Interesting)
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The multi-dimensional description of time was woefully under explained, probably due to a lack of a concise mathematical description but w
So their measurement of the Hubble constant is 69 (Score:2)
According to the article "the astronomers determined that the galaxy UGC 3789 is 160 million light-years from Earth". This translates to 49 Mpc. According to NED [caltech.edu], the velocity (in the Cosmic Microwave Background frame) is 3385 km/s.
Therefore this measurement of the Hubble parameter is then 3385/49 = 69 km/s/Mpc.
(Unfortunately the article does not quote an uncertainty on the 49 Mpc measurement. Because of peculiar velocities, I would estimate that there is at least a 300 km/s uncertainty on the 3385 km/s ve
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It's also possible that this galaxy is not totally in the Hubble Flow. In other words, it might be pulled around by other nearby galaxies/galaxy clusters. All galaxies are affected by this to some extent, but with nearby galaxies (like this one), these gravitationally-caused velocities can be significant compared to the Hubble expansion-caused velocities.
10%? I should hope so (Score:2)
The current best value for the Hubble Constant is 74.2 ± 3.6 (km/s)/Mpc according to recent conventional methods and the recently restored Hubble Telescope. Most astronomers agree that that's within 10% of its actual value.
10% of 74 is 7.4, corresponding to ± 3.7; meaning that in the very worst case, where the true value is at one end of the interval, we can only get about 10% away. What the astronomers agree on is that the estimate of the uncertainty on the measurements is something like ± 3.6. This is not as trivial a matter as it would seem - it can be quite complex to calculate and is a source of many of the more embarrasing errors in science.
The Perimeter Institute recently gave a lecture... (Score:2)