Tubbythin: See the references cited in my paper.
Well I don't have a copy of the reference in question. I was hoping you could give me a direct quote from said reference to support your assertions.
Tubbythin: See the references cited in my paper.
Skwinty: There is no "Law" that light cannot exceed any specific speed. The purported immutability of the value of c is just a postulate of SR.
sol invictus: They're not opinions - they are facts.
RJH REPLIES: In your opinion.
SI: That's too incoherent to comment on.
RJH: Just plain English.
SI: I can't think of any definition of "xt" which would make that a sensible equation.
RJH: See Einstein, "On the Electrodynamics of Moving Bodies".
SI: OK, "homogeneous" is evidently another term you do not know the meaning of. When people refer to a "homogeneous universe", they mean homogeneous in space - not in time. Expanding cosmologies change with time, obviously. As every grammar school child knows, 13 billion years ago the universe was extremely hot and dense. Now it isn't.
RJH: Homogeneous: The same everywhere and everywhen. See Einstein, "On the Electrodynamics of Moving Bodies".
Metric: a unit of measurement.
Do you remember what it was called, or where it was published?I recently read a brief essay by Paul Steinhardt about brane cosmology. [...]
I recently read a brief essay by Paul Steinhardt about brane cosmology. He claims that the brane cosmology model is "capable of reproducing all the predictions of the consensus (big bang) picture with the same exquisite detail." If that is the case why is there a strong preference for the "consensus picture" -- because it was developed first?
Do you remember what it was called, or where it was published?
I'd be interested to read it myself.
No, it's because very few people agree with him. Steinhardt's model requires a so-far unjustified assumption about what happens at the "bounce". Because of that, it is not taken seriously other than by a few adherents, who are working hard to try and justify it.
Why do you regard that as more difficult than the "unjustified assumption" about t = 0 in the BB model?
Standard inflationary cosmology requires no such assumption - all the physics takes place after the BB. What came before the BB isn't specified - and one of the virtues of inflation is that it doesn't matter what came before, because whatever it was, it gets inflated away (usually - there are some interesting exceptions).
You regard "it doesn't matter what came before" as a virtue of the BB model. I see it as a serious deficiency that the BB model can say nothing about t = (<) 0 and a strength of Steinhardt's model that it does.
My point is that Steinhardt's model cannot say what came before. It's just a guess, one chosen precisely so that the predictions match experiment. In my view, it has no explanatory power at all - were the data to change, one could make a different guess and arrive at a similar model that matches the new data. To make an overly harsh comparison, you might as well say goddidit (it's not as bad as that, because hopefully someone will someday understand how to really resolve the BB singularity, and then we'll know which, if any, of those guesses were correct).
Contrast that to the standard BB. Precisely because the physics depends only weakly on what (if anything) came before the BB, one needn't make any such guess (modulo the interesting exceptions I mentioned). Instead, the theory manages to produce falsifiable predictions based solely on (almost) standard physics - physics that takes place in conditions were we are at least fairly sure we understand the laws that govern it.
So, if we were postulate guesses about t = < 0 in the BB model, we would be in the same position as we are with Steinhardt's model.
Are there such guesses of interest?
Steinhardt says that the discovery of cosmic gravitational waves would be consistent with the BB model and that the absence of such waves would support his model. Do you agree? And where do we now stand in any efforts to discover such waves?
Thanks for your helpful responses. If I understand you correctly, the point is that the inflation event accounts for the observations we are dealing with today; it does not matter what was before -- i.e., inflation negated (or rendered unimportant) the state of the universe before inflation. Steinhardt's model does require a specific set of circumstances for the very early universe and for t = < 0 to account for today’s observations.
I think that gravitational waves are a requirement of general relativity, so their true absence (as opposed to our technological inability to detect them) would be rather more significant than a mere failure of the standard model of cosmology. If the Big Bang fails, it's really no Big Deal, but if general relativity fails, that's a Big Deal squared.Steinhardt says that the discovery of cosmic gravitational waves would be consistent with the BB model and that the absence of such waves would support his model.
Gravitational waves have already been indirectly observed. The discovery of the binary pulsar 1913+16 by Hulse & Taylor (Hulse & Taylor, 1975) earned the 1993 Nobel Prize in Physics. The fact that it's two pulsars in a binary system makes it possible to measure the binary orbital period with extreme precision. They are losing energy at a rate predicted by general relativity, as energy lost in the form of gravitational waves. There are now a few binary pulsars known, and so far as I know, they all behave in like manner, as predicted by energy loss as gravitational waves. Hence, the statement that gravitational waves have been indirectly detected. Lorimer, 2008 is a good recent review of the topic (Living Reviews is a family of free access online journals; just follow the HTML link from the ADS page I linked, and it will take you to the online paper).And where do we now stand in any efforts to discover such waves?
This is not entirely true. It is difficult to constrain c in a way that is not degenerate with other parameters so normally one constrains the fine structure constant instead, but this is done on cosmological distances and timescales with quasar spectra amongst other things.
We also know from Earth-based data (eg Oklo) that any change in the fine structure constant 'here' over the last few billion years must have been very small.