Scott's step 4 is:Scott said:Olber’s Paradox is not a paradox if you look at it correctly. It is simply an error. It results from a mathematical analysis being applied incorrectly to a real world phenomenon. A mathematician might say, “They got the upper limit on the integral in step 4 wrong.”
However, post#73 clearly demonstrates that Ro is not an infinite number, (Ro=1/an; where a= avg star area, n = avg density .. both of which are clearly non-zero). It thus takes only a finite number of stars to completely cover the sky.Scott said:4. These two effects cancel each other. So, every spherical shell of radius r should add the same small additional amount of light. Thus the total lumens received will be:
... Breaking News! ... Donald Scott Stumbles in and Blunders Yet Again! ..
Yet, when presented with same equation in post#307, this was Michael's response (post#317):Michael said:For those paying attention, he's trying to apply a make believe surface brightness formula to a universe that is full of dust and plasma that scatters light.
So which is the correct version of the formula itself: 'make believe' or 'theoretically/technically correct'?Michael said:I only admitted that the math was "theoretically/technically" right, but only within certain limits. Visually speaking, surface brightness is only distance independent within a limited range of distance.
Isn't it wonderful that we don't have to rely on Michael's miscomprehensions and his confused, babbling favorite EU 'theorists' like Scott, when we have wonderful professional astrophysicists (and authors) like Brian to help us clarify they way it really is in mainstream cosmology, eh?Koberlein said:.. Since the universe is expanding, distant objects will appear to increase in size. The object isn’t getting larger, but as the universe expands the light traveling from a distant galaxy appears to spread out a bit. For closer galaxies this isn’t significant, but for distant galaxies it is.
For close galaxies, the greater the distance, the smaller their apparent diameter, but around z = 1.5 cosmic expansion becomes a bigger factor than the galaxy’s distance. As a result, galaxies with higher redshifts actually start appearing larger. The most distant galaxies can appear significantly larger than closer galaxies. This doesn’t mean that distant galaxies are actually larger, simply that they appear larger due to cosmic expansion.
What’s particularly interesting about all this is that we can use this effect to determine the way in which the universe is expanding. This is part of the reason we know the universe contains dark matter and dark energy. But that’s a story for another day.
What we need is a little award icon, to go along with the "Like", "Agree", "Winner" icons. This would be the Emotion Icon. It would be awarded to posts one considered to be so emotionally charged one almost fails to notice they are bereft of fact. Until we have such an icon please accept this brief comment as a temporary, sub-standard replacement.This whole conversation about Olber's paradox is a great example of why astronomy is still stuck in the dark ages.
I can to choose to believe a several hundred year old "dogma package", or I can choose to trust my own eyes. I choose to trust my own eyes, whereas astronomers swallow a really old and really bad dogma package hook, line and sinker, even when it directly conflicts with observations of the night sky, and the huge number of stars in our own galaxy which we are incapable of observing with our own eyes.
You choose to *assume* that some concept called "surface brightness" has to either be false in all cases, or true in all cases, but you exclude the possibility that the concept of surface brightness has a *limited* usefulness in *some* cases. Your whole argument is based on a false dichotomy fallacy, one which directly conflicts with observations of the night sky.
We do *not* see every star in our own galaxy, nor do we see more than a few galaxies with our eyes at night. Obler's paradox is destroyed by that observation alone.
The whole "shells of stars" argument fails miserably inside the confines of our own solar system, and it falls 268,770 AU shells short of a valid scientific argument.
The goal post shifting exercise related to galaxies is a red herring because Olber had no idea that other galaxies even existed, and they too follow the inverse square law as their angular size shrinks with distance until they too simply act like "point sources" and grow dimmer and dimmer with distance.
There's literally no physical, scientific or logical basis for your paradox claim, yet you cling to it like a security blanket based on a few math formulas that clearly do *not* apply in all cases.
Anyone who points out that problem is automatically attacked as a *person* because you have no valid scientific basis for your claim, and you have no way to defend it scientifically.
Your whole argument is based on bad dogma, and your resistance to embracing reality is based on an emotional response to your damaged pride rather than a valid scientific argument.
What I notice, is:
i) Michael's reluctance to publically tell Dr Scott that he is wrong (yet again) and;
ii) Michael changing the goalposts over the surface brightness vs distance issue throughout this thread.
According to Michael, surface brightness is now independent of distance over particular distance range (until it becomes a 'point source), yet in early posts this was not his case.
For example, when sjastro first presented the derivation of the surface brightness equation in post#217, this was Michael's response (post #219):
Yet, when presented with same equation in post#307, this was Michael's response (post#317):
So which is the correct version of the formula itself: 'make believe' or 'theoretically/technically correct'?
Also, Michael hasn't managed to counter the argument that a static Universe that it is infinitely old, allows photons from any point in the Universe, ample time to reach the observer (unlike in a finite expanding Universe).
Then of course, distant objects appear to increase in size:
Isn't it wonderful that we don't have to rely on Michael's miscomprehensions and his confused, babbling favorite EU 'theorists' like Scott, when we have wonderful professional astrophysicists (and authors) like Brian to help us clarify they way it really is in mainstream cosmology, eh?
What we need is a little award icon, to go along with the "Like", "Agree", "Winner" icons. This would be the Emotion Icon. It would be awarded to posts one considered to be so emotionally charged one almost fails to notice they are bereft of fact.
Until we have such an icon please accept this brief comment as a temporary, sub-standard replacement.
The answer is the resolution of Olber's paradox - our universe isn't eternal, static, and temporally infinite.You guys *still* can't explain why we see so few galaxies in the night sky. Where's that missing homework assignment/explanation? Let me guess.....your dog ate it?
This whole topic may be above my paygrade but I must say that I thoroughly enjoy watching Michael dig his hole deeper and deeper.
The answer is the resolution of Olber's paradox - our universe isn't eternal, static, and temporally infinite.
Let me remind you of what you posted at TBolts:Eh? Scott has never posted to this thread. Talk about a red herring. You're the one alleging that Scott is wrong. Go take it up with him directly on the appropriate forum and leave me out of it. I debunked your Olber nonsense in my own way, in this thread and it had nothing to do with Scott. Scott is irrelevant to this thread and your pitiful claim.
No. You're the one moving the goal posts. First you claimed Olber's paradox is based on stars. Then sjastro claimed that suns acted as point sources and obey the inverse square law, and he tried moving the goalposts to galaxies. The silly part of that argument is that galaxies work exactly the same way as stars because a galaxy is nothing more than a collection of stars. The angular size of a galaxy shrinks with increasing distance, and eventually they act like point sources too.
You guys *still* can't explain why we see so few galaxies in the night sky. Where's that missing homework assignment/explanation? Let me guess.....your dog ate it?
Apparently it's "make believe" beyond some unspecified distance because sjastro freely admitted that surfaces of stars act like point sources and they obey the inverse square laws. So much for your stellar surface brightness staying constant with distance claim. Then the goalposts got put into warp of course.
That's simply not true. Even if distant photons have ample time to reach Earth, they obey the inverse square law as sjastro admits, so they'll eventually be too dim to see with the naked eye anyway. We'd receive so few photon from such sources, we'd never register then with our human eyes and brain. That's even *assuming* that absolutely no scattering at all takes place in space, and we know for a fact that isn't the case.
The fact you're still clinging to this nonsense and defending this nonsense only demonstrates your inability to think for yourselves. Even worse, you can't even keep your own stories straight. First you tell me that surface brightness is unrelated to distance, and then you tell me that the surfaces of stars act like point sources and become too dim to observe. Which is it?
The whole galaxy ruse was a complete red herring (like your mention of Scott) because Olber hadn't a clue that any other galaxies even existed. His entire argument was based on stars not galaxies. sjastro already admitted that stars act like point sources and they eventually become too dim to observe with the naked eye which is why we see less than 10,000 of the 250+ *billion* stars in our own galaxy, and less than 10 galaxies.
You're 268,770 AU shells short, and 250 *billion* stars short of a valid argument. How can you even continue to peddle such nonsense to unsuspecting students? Do you threaten to fail them if they refuse to believe such nonsense? You can't even logically defend this horse pucky on a public science forum!
Scott’s conclusion is based on the shells having the same surface brightness but are summed to an infinite value. (Oh that's in in spite of his actual overall point .. which is claiming that mainstream science must have it all wrong because it must be a finite sum .. rather than his in error infinite sum strawman).:Michael Mozina said:I had to muddle through it to some degree, but we ultimately seem to have arrived at the same conclusions. Thanks for the link. I appreciate it.
Scott said:4. These two effects cancel each other. So, every spherical shell of radius r should add the same small additional amount of light. Thus the total lumens received will be:
5. Ergo: In an infinite universe, when we sum (integrate as in step 4 above) the light coming from all the infinite and uncountable number of possible radial distances, r, the sky should be infinitely bright.
By your claiming to have reached 'the same conclusion' as Scott, you have completely contradicted yourself here in this thread, where you claim the integrated brightness of the shell plays no role, and surface brightness of the shells cannot be constant.Scott said:The point is this – it should now be obvious – the infinite sum described in steps (4-5), above, is incorrect. The sum stops (is truncated) at a radial distance of some 600+ light years for the typical star (and somewhere beyond that for even the brightest ones). There is an upper limit on the absolute brightness of a single star; there is no such thing as an infinitely brilliant star. So there is a finite upper limit to the integration process described above. It doesn’t go out to infinity.
Let me remind you of what you posted at TBolts:
Its perfectly clear that your statement 'we ultimately seem to have arrived at the same conclusions' was an outright lie!
Also, you are not fooling anyone in this thread by the disinformation campaign against sjastro’s presented analysis and comments.
And I predict you'll now try playing the victim by claiming this post as a personal attack.
You bring this stuff on yourself because 'tis you who undertake false disinformation campaigns against individuals ..
Koberlein,
Klinger,
Bridgman,
are the classic examples, and now you do the same directed at sjastro.
This is very nasty habit of yours, (and its gotten you banned many times before on multiple science websites).
And that statement doesn't reflect the net scope of knowledge available prior to stating its conclusion. In fact, its obvious its only based on your baggage of artificially constraining visibility of the bigger theoretical picture.... The fact of the matter is that you have *no way of knowing* if the universe is expanding or it is static based on what we observe in the night sky,
And that statement doesn't reflect the net scope of knowledge available prior to stating its conclusion. In fact, its obvious its only based on your baggage of artificially constraining visibility of the bigger theoretical picture.
Your argument therefore relies solely on the special pleading case of (in a whimpery voice) of:
"An infinite universe is still possible .. And in order to support my ideology of deliberately constraining the total sum of knowledge on the topic, I'm going to continue to claim that the knowledge based arguments supporting an expanding universe are therefore also bogus".
The Laniakea Supercluster (Laniakea; also called Local Supercluster or Local SCl or sometimes Lenakaeia)[2] is the galaxy supercluster that is home to the Milky Way and approximately 100,000 other nearby galaxies.[3]