hedons
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How do scientists compensate for relativistic effects when measuring the expansion of the universe using type 1a supernove?
Thanks
Glenn
Thanks
Glenn
Interesting question. I'm not an expert and would love to see a reply from someone more knowledgeable in this area, but from my reading of the literature the only relativistic correction applied to the data seems to be a time-dilation correction in the apparent magnitude data (see for example http://arxiv.org/abs/astro-ph/9805200).hedons said:How do scientists compensate for relativistic effects when measuring the expansion of the universe using type 1a supernove?
Thanks
Glenn
1 said:i couldn't find anything about your supernova, but here some background on the expansion of the universe (hubble constant). run with it. also go to your library and find the book "the whole shebang" by Timothy something, i read it not too long ago and it talked about some of that stuff.
Fibonacci
http://apod.gsfc.nasa.gov/apod/ap960513.html
1) Here is the paper about the quasar in NGC 7319.X-43D said:I'm not an expert either but why is redshift supposed to determine recession velocity? Is redshift a reliable indicator of distance? Is the CMB radiation basically uniform in all directions?
These two discoveries might poses a challenge to the BB cosmology:
1) Can A 'Distant' Quasar Lie Within A Nearby Galaxy?
http://ucsdnews.ucsd.edu/newsrel/science/mcquasar.asp
2) Is the low-l microwave background cosmic?
http://www.arxiv.org/abs/astro-ph/0403353
How about a Universe that is infinite in extent, both spacially and temporally? It's a mind-blower for many folks (OK, I grew up in the '60smisskitty said:So if the big bang would not be the way the universe had begun, then what theory would best describe how our universe came to be?
hedons said:How do scientists compensate for relativistic effects when measuring the expansion of the universe using type 1a supernove?
Heard of Olber's paradox?turbo-1 said:How about a Universe that is infinite in extent, both spacially and temporally? It's a mind-blower for many folks (OK, I grew up in the '60s), because humans seem to naturally want to define our place relative to some beginning and some ending.
Not sure I understand this, can you explain a little more?SpaceTiger said:If you mean the time dilation from cosmological redshift, then you just have to scale your light curves by 1+z, just as you do the spectrum. If you mean relativistic effects due to the compact objects, then it's not really necessary to consider it. The measurement of cosmological expansion can be done without understanding the physics of the supernova, you just have to verify observationally that they follow some sort of "standard candle" relationship.
Yes, I have heard of Olber's paradox, and no, I do not think that it is naive intuition to believe that the Universe might be infinite in both space and time. These concepts do not follow from naive intuition, but arise from informed study. Newton believed that the Universe must be infinite, to prevent any gravitational instability that would have caused collapse, and Einstein introduced the CC in order to ensure that such a collapse would not happen. I might be a dummy, but these are a couple of pretty smart guys.moving finger said:Heard of Olber's paradox?
I disagree with your comment here - in fact there are very many humans who seem to naturally NOT want to define our place relative to some beginning or some ending - including some of the greatest names in historical science - both Newton and Einstein intuitively believed in a static, infinite universe (though Einstein, on deeper reflection, recanted). I would suggest that it is in fact naive intuition that leads to thinking of a universe infinite in both space and time.
Hey, we all have naive intuitions, it's what we learn as we grow up. Please don't take it as an insult, I have many naive intuitions too, and I know its hard sometimes to fight against them. I never said that either Newton or Einstein were not smart, but like all of us they were not perfect and they also had naive intuitions. Newton never really thought through the implications of his infinite universe properly, I suspect he had a deep religious conviction that the universe was infinite and therefore selectively favoured such a model (I admit this is my personal opinion of his motivations).turbo-1 said:Yes, I have heard of Olber's paradox, and no, I do not think that it is naive intuition to believe that the Universe might be infinite in both space and time. These concepts do not follow from naive intuition, but arise from informed study. Newton believed that the Universe must be infinite, to prevent any gravitational instability that would have caused collapse, and Einstein introduced the CC in order to ensure that such a collapse would not happen. I might be a dummy, but these are a couple of pretty smart guys.
moving finger said:Not sure I understand this, can you explain a little more?
If there is an additional relativistic effect on the redhsift (for example gravitational redshift, but I am not restricting myself to that alone) then this will surely be the same for all SN1a (if they are "standard candles" then any gravitational redshift for example will result in a similar magnitude gravitational redshift correction regardless of distance?)
and therefore require a "constant correction" to all the SN1a redshift data rather than correction by a z-shift "factor"?
Thanks for the reference, but I think we are talking at cross-purposes.SpaceTiger said:That's just cosmological time dilation. Not only is the light redshifted, but the time interval is also dilated. It doesn't come up a lot because we don't usually measure time intervals in cosmology, but it's an issue for quasar variability and GRB studies. Here's an example paper on the subject.
moving finger said:The gravitational redshift will be in addition to, but mixed up with, any cosmological expansion redshift.
But the gravitational redshift should be distance-independent, whereas the cosmological expansion redhsift will be distance dependent.
Therefore to get the correct distance-dependency out of the measured redshift, we would have to correct the measured z for the gravitational redshift, to get the correct cosmological expansion z.
This should be a fixed redshift correction, not a (1+z) multiplying factor?
Sorry, point taken. I was confusing gravitationally-induced time-dilation & redshift with velocity-induced time-dilation. Of course the gravitational effects on photon frequency will be negligible with the particular supernovae being studied (but might be significant for quasars?). Anyway, sorry for muddying the waters here.SpaceTiger said:Not sure I follow. Here's the basic process that I'm picturing:
- Measure the redshift based on the spectrum (no time dilation correction).
- Measure the flux (no time dilation correction).
That used to be all that they did to get the distance and no time dilation correction was necessary, but they found out that it wasn't exactly a standard candle. They could more precisely measure the distance by fitting a relationship between luminosity and the timescale of the supernova burst. Thus,
- Measure the light curve (redshift-dependent time dilation correction required).
That is, the times they measured required a 1+z correction factor. They could use this to find the luminosity and the flux to find the distance. Then they just plot on a Hubble diagram and they're done.
Hi, MF! I am very pleased to encounter someone who will bother to study the motivations of the masters. Thank you for the elucidation.moving finger said:And then there's Olber's famous paradox. You say you have heard of it - can you explain how you escape Olber's paradox in a universe infinite in space and time?
Cheers
MF![]()
Cosmological calculations use general relativity, which allows a lot more freedom in the choice of coordinate system than special relativity. Hence such things as length contraction and time dilation are not considered in the same way. Most cosmologists take a time coordinate as the proper time of objects moving with the expansion, which is incompatible with special relativity. I have argued that sometimes it might be better to think in terms of more 'special relativistic' coordinates, e.g. www.chronon.org/articles/milne_cosmology.html . However, many people don't like this.hedons said:How do scientists compensate for relativistic effects when measuring the expansion of the universe using type 1a supernove?
The Whole Shebang is by Timothy Ferris. He is enthusiastic about the subject, but don't believe everything he writes - there are some very doubtful things in the book.misskitty said:A last name would be very helpful if that's ok.![]()
Interesting. What do you mean exactly by "redshifted out of detectability"?turbo-1 said:Yes, you can escape Olber's paradox in an infinite Universe. In my model, light interacts with the EM fields of the quantum vacuum as it traverses space and is redshifted proportional to the density and extent of the EM fields that it traverses. Light emitted sufficiently far away from us is redshifted out of detectability, limiting the extent of the universe that we can see. Like any other wave, light cannot traverse the EM fields of the vacuum without "paying the fare".
I see where you are going with this, and I have been there myself. (And have spent sleepless nights there, since I do something else for a living.) The light from distant sources is progressively redshifted to lower energies and longer wavelengths, to the point where they are indistinguishable from the ground state of the universe.moving finger said:Interesting. What do you mean exactly by "redshifted out of detectability"?
Does this mean the photons are ultimately absorbed, or just that the redshift becomes very high (but the photons still continue on)?
Also, what happens to the fare that is paid? Does this end up in the cosmological taxman's purse never to be seen again, or is it recycled?
In other words, what happens to the energy lost by the photons as they interact with the EM fields of the quantum vacuum? Is this energy destroyed, or does it somehow end up in the quantum vacuum? (I think you can see where I am going with this...)
Please humour me for a moment.turbo-1 said:I see where you are going with this, and I have been there myself. (And have spent sleepless nights there, since I do something else for a living.) The light from distant sources is progressively redshifted to lower energies and longer wavelengths, to the point where they are indistinguishable from the ground state of the universe.
As for the energy lost by EM traversing the EM field of the quantum vacuum: The energy is not destroyed. Everybody pays to ride. The theoretical energy of the ZPE field is 120 OOM greater than we can measure (via the CC). The energy-state of the CMB is very low (2.73 degrees K), but it is everywhere and it is all-pervasive. Why does it surround us and where does it come from? These are the really important questions.
Consider that if light is redshifted by interaction with the vacuum fields, it shifts downward in energy and is stretched in wavelength with every interaction. Light is sensible to us only as an EM wave. When the wavelength is sufficiently long that we can no longer sense the wave, it can no longer be differentiated from the ground state of the vacuum field, and it is incapable of performing work on that field. Let us assume that this redshifting mechanism places a limit of about 14Gly on the distance that any EM wave can travel in "empty" space before it is lengthened to undetectability. Assuming an infinite and (cosmologically) homogeneous and isotropic universe, no part of the the vacuum field can receive energy contributions from objects outside the 14Gly radius surrounding it.moving finger said:Problem is, in an infinite universe over an infinite length of time, each of these absorbing dust particles would eventually reach the same temperature as the stars themselves... and we once again should see the night sky ablaze with light. This put paid to the "dusty infinite universe" solution to Olber's paradox.
Why did I bother explaining all that?
Because it seems to me that you are now proposing a very similar solution, except instead of dust doing the attenuating or absorbing, it is the EM fields of empty space that is doing it?
The problem remains the same. If energy is conserved, then over an infinite time in an infinite space, the energy that is lost to these EM fields of empty space will mean the energy density of empty space will reach the same level as that of the stars...Now if this energy is somehow "locked up" in the EM fields of empty space then the energy density of empty space must itself become infinite (each volume of space absorbing a finite energy per unit time over an infinite time); alternatively the only way to avoid the energy density of empty space becoming infinite is if we allow it to constantly lose energy in some way (re-radiate?)... but then we are back to Olber's paradox...
MF![]()
"Ponderable media" indeed! It barely can be sensed at all.Einstein said:Recapitulating, we may say that according to the general theory of relativity space is endowed with physical qualities; in this sense, therefore, there exists an ether. According to the general theory of relativity space without ether is unthinkable; for in such space there not only wonld be no propagation of light, but also no possibility of existence for standards of space and time (measuring-rods and clocks), nor therefore any space-time intervals in the physical sense. But this ether may not be thought of as endowed with the quality characteristic of ponderable media, as consisting of parts which may be tracked through time. The idea of motion may not be applied to it.
Just for clarification: if one considers that space expands, the integral of the total flux does not diverge in a spatially and temporally infinite universe. On the other hand, if the light sources follow a fractal distribution with fractal dimension < 2 (which is actually not the case on all scales), then the integral of the total flux is always convergent.Chronos said:Olbers paradox cannot be avoided in a universe that is spatially and temporally infinite.
If the energy captured from the photons is re-emitted at very long wavelengths, it will be insensible to us as heat. It will be impossible for us to separate it from the ground state of the vacuum. Olber's paradox is problematic when you expect tit-for-tat re-radiation wavelengths, but it breaks down completely at long wavelengths corresponding to low temperatures.Chronos said:But, moving fingers point has not been addressed. Olbers paradox cannot be avoided in a universe that is spatially and temporally infinite. The energy of captured photons must either be reemitted or converted to mass. New laws of physics are otherwise required to replace the law of energy conservancy.
Read more closely. He posited the existence of TWO ethers. A dynamical gravitational ether, and an EM ether which he held to be absolutely necessary for the propagation of EM waves, but stripped of all other qualities which had been ascribed to it. My view is that the gravitational and EM ethers are one and the same, and that "ether" (the ZPE field) is polarized by the presence of mass. This is the mechanism by which gravitational lensing (refraction of EM waves) occurs.Chronos said:While I squirm at the term 'ether', such arguments inevitably become semantical. Whatever qualities may be inherent to empty space, they bear no resemblance to the 'luminiferous aether' that Einstein sent to its final resting place. This is the most notable comment by Einstein in the quotation you cited:
But this ether may not be thought of as endowed with the quality characteristic of ponderable media, as consisting of parts which may be tracked through time. The idea of motion may not be applied to it.
In other words, it does not possesses any of the qualities typical of a physical media - like a gas, fluid or solid. It also does not constitute any kind of 'rest frame' to which other properties of the universe may be compared. If you follow Einsteins remarks in their entirety, you come to the realization that Einstein's new 'ether' is the gravitational field, without which spacetime ceases to exist.
If I understand you correctly, you are suggesting that photons do lose energy (to the "vacuum field") by some yet-to-be-specified process as they travel through space, but there is some kind of threshold energy per photon, below which the photons no longer interact with either the "vacuum field" or our detectors. Once each photon has been redshifted to this very long wavelength it then continues traveling through space "ad infinitum" without losing any more energy. Is that it?turbo-1 said:Consider that if light is redshifted by interaction with the vacuum fields, it shifts downward in energy and is stretched in wavelength with every interaction. Light is sensible to us only as an EM wave. When the wavelength is sufficiently long that we can no longer sense the wave, it can no longer be differentiated from the ground state of the vacuum field, and it is incapable of performing work on that field. Let us assume that this redshifting mechanism places a limit of about 14Gly on the distance that any EM wave can travel in "empty" space before it is lengthened to undetectability. Assuming an infinite and (cosmologically) homogeneous and isotropic universe, no part of the the vacuum field can receive energy contributions from objects outside the 14Gly radius surrounding it.
hedons said:How do scientists compensate for relativistic effects when measuring the expansion of the universe using type 1a supernove?
Thanks
Glenn
There is no "threshold", it's just that longer and longer wavelengths travel through the vacuum fields with less and less interference.moving finger said:If I understand you correctly, you are suggesting that photons do lose energy (to the "vacuum field") by some yet-to-be-specified process as they travel through space, but there is some kind of threshold energy per photon, below which the photons no longer interact with either the "vacuum field" or our detectors. Once each photon has been redshifted to this very long wavelength it then continues traveling through space "ad infinitum" without losing any more energy. Is that it?
Let's use the analogy of an electrical signal. We have a detector (AC voltmeter) that allows us to sense signals above and below ground in a copper conductor. If there is an AC signal on the conductor, our meter can detect it. If, however, the AC is of sufficiently long wavelength, it becomes indistinguishable from DC, and at some point (depending on the averaging time that our meter uses to measure AC) it cannot be detected by our meter. Let's say that the total peak-to-peak voltage of this signal is 120 volts, spanning the range from -60V relative to ground to +60V relative to ground. You could superimpose a million of these "slow" AC signals on that conductor, in their natural distributions (because they do not arrive phase-synchronized) and those signals would be entirely invisible to our meter. They would be impossible to recognize, since they would average out to the ground state at which our meter is referenced.moving finger said:Problem with this is, when combined with your assumption of an infinitely old universe of infinite size (back to Olber's paradox again), this implies that everything in the universe is bathed in an infinitely dense flux of these low-energy photons (think about it - from every point in the universe you have line-of-sight in every direction to a source of these low energy photons).
We need to get this straight. Are you saying that each photon continues to lose energy to this "vacuum field", regardless of photon wavelength? It must be the case either that the photons are ultimately absorbed after a finite time or they continue indefinitely, each losing energy but never quite ending up with zero energy.turbo-1 said:There is no "threshold", it's just that longer and longer wavelengths travel through the vacuum fields with less and less interference.
All this shows is that an AC detector is insensitive to DC. What relevance does this have to the problem that your cosmology implies we should all be bathed in an infinite flux-density of photons?turbo-1 said:Let's use the analogy of an electrical signal. We have a detector (AC voltmeter) that allows us to sense signals above and below ground in a copper conductor. If there is an AC signal on the conductor, our meter can detect it. If, however, the AC is of sufficiently long wavelength, it becomes indistinguishable from DC, and at some point (depending on the averaging time that our meter uses to measure AC) it cannot be detected by our meter. Let's say that the total peak-to-peak voltage of this signal is 120 volts, spanning the range from -60V relative to ground to +60V relative to ground. You could superimpose a million of these "slow" AC signals on that conductor, in their natural distributions (because they do not arrive phase-synchronized) and those signals would be entirely invisible to our meter. They would be impossible to recognize, since they would average out to the ground state at which our meter is referenced.
Lets move away from the photon model and consider EM as waves propagating through Einstein's ether (link to the 1920 talk is posted above). EM waves lose energy to the field and decrease in frequency as a result. Ultimately, they become insensible to us as EM waves because their frequency is so low.moving finger said:We need to get this straight. Are you saying that each photon continues to lose energy to this "vacuum field", regardless of photon wavelength? It must be the case either that the photons are ultimately absorbed after a finite time or they continue indefinitely, each losing energy but never quite ending up with zero energy.
There is no problem with Olber's Paradox, because in an infinite Universe the vacuum field in any location can only interact with EM within its visible universe, in other words with light that comes from near enough not to have been shifted into insensibility by interaction with billions of light years of the vacuum field.moving finger said:Either way, you have a problem, because energy is not destroyed. If they are ultimately absorbed then we are back to the "dusty universe" version of Olber's paradox - the absorbing medium (in an infinite universe of infinite extent) must become as hot as the stars themselves. If they continue indefinitely then we have the problem I highlighted in my previous post - every point in the universe must be bathed in an infinite flux-density of high-wavelength photons.
Which paradox would you prefer?
No, this cosmology implies that EM waves from far enough away are redshifted into indetectability, and that the average effect of these very long waves is indistinguishable from the ground state of the vacuum field. EM is only sensible to us when it oscillates with respect to the EM field. If you think of this as waves in a field instead of a individual photons shooting around, it makes perfect sense.moving finger said:All this shows is that an AC detector is insensitive to DC. What relevance does this have to the problem that your cosmology implies we should all be bathed in an infinite flux-density of photons?
Do you agree that your cosmology implies that we should all be sitting in a bath of infinite flux-density long-wavelength photons?
MF
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OK, I finally see. Your argument rests on the basis that your redshifted photons have 100% wavelike properties, and (because they “are insensible to us”) they never take on particle-like properties. This means they are not only insensible to us, but must also be insensible to everything else in the universe.turbo-1 said:this cosmology implies that EM waves from far enough away are redshifted into indetectability, and that the average effect of these very long waves is indistinguishable from the ground state of the vacuum field. EM is only sensible to us when it oscillates with respect to the EM field. If you think of this as waves in a field instead of a individual photons shooting around, it makes perfect sense.
That's pretty much the case, although I would sharpen the explanation just a bit and say that all EM exhibits wave properties, EM signals NEED an aether (vacuum EM field) through which it can propagate, and the interaction of the EM waves with the propagating fields results in a very gradual reduction of the energy of the wave.moving finger said:OK, I finally see. Your argument rests on the basis that your redshifted photons have 100% wavelike properties, and (because they “are insensible to us”) they never take on particle-like properties. This means they are not only insensible to us, but must also be insensible to everything else in the universe.
Interesting idea.
MF
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What parts of an infinitely old universe would not be visible at any given location? And how does the energy of an EM wave get absorbed by this vacuum EM aether without raising it's ground state? And if it does raise the ground state, why is it not now infinite? This unexplained loss of energy is a violation of the laws of thermodynamics and rewriting those laws was something even Einstein never contemplated:turbo-1 said:... There is no problem with Olber's Paradox, because in an infinite Universe the vacuum field in any location can only interact with EM within its visible universe, in other words with light that comes from near enough not to have been shifted into insensibility by interaction with billions of light years of the vacuum field.
The shapiro effect , slowing down of light due to gravity.hedons said:How do scientists compensate for relativistic effects when measuring the expansion of the universe using type 1a supernove?
Thanks
Glenn