There’s been quite a lot of discussion at this meeting so far about neutrino physics (and indeed neutrino astrophysics) which, I suppose, is not surprising given the proximity of my current location, the city of L’Aquila, to the Gran Sasso Laboratory which is situated inside a mountain a few kilometres away. If I were being tactless I could at this point mention the infamous “fast-than-light-neutrino” episode that emanated from here a while ago, but obviously I won’t do that.
Anyway, I thought I’d take the opportunity to put up this video which describes how neutrinos are detected at the NOVA experiment on which some of my colleagues in the Department of Physics & Astronomy at the University of Sussex work and which is now up and running. If you want to know how to detect particles so elusive that they can pass right through the Earth without being absorbed, then watch this:
Astronomy is one of the oldest scientific disciplines. Human beings have certainly been fascinated by goings-on in the night sky since prehistoric times, so perhaps astronomy is evidence that the urge to make sense of the Universe around us, and our own relationship to it, is an essential part of what it means to be human. Part of the motivation for astronomy in more recent times is practical. The regular motions of the stars across the celestial sphere help us to orient ourselves on the Earth’s surface, and to navigate the oceans. But there are deeper reasons too. Our brains seem to be made for problem-solving. We like to ask questions and to try to answer them, even if this leads us into difficult and confusing conceptual territory. And the deepest questions of all concern the Cosmos as a whole. How big is the Universe? What is it made of? How did it begin? How will it end? How can we hope to answer these questions? Do these questions even make sense?
The last century has witnessed a revolution in our understanding of the nature of the Universe of space and time. Huge improvements in the technology of astronomical instrumentation have played a fundamental role in these advances. Light travels extremely quickly (around 300,000 km per second) but we can now see objects so far away that the light we gather from them has taken billions of years to reach our telescopes and detectors. Using such observations we can tell that the Universe was very different in the past from what it looks like in the here and now. In particular, we know that the vast agglomerations of stars known as galaxies are rushing apart from one another; the Universe is expanding. Turning the clock back on this expansion leads us to the conclusion that everything was much denser in the past than it is now, and that there existed a time, before galaxies were born, when all the matter that existed was hotter than the Sun.
This picture of the origin and evolution is what we call the Big Bang, and it is now so firmly established that its name has passed into popular usage. But how did we arrive at this description? Not by observation alone, for observations are nothing without a conceptual framework within which to interpret them, but through a complex interplay between data and theoretical conjectures that has taken us on a journey with many false starts and dead ends and which has only slowly led us to a scheme that makes conceptual sense to our own minds as well as providing a satisfactory fit to the available measurements.
A particularly relevant aspect of this process is the establishment of the scale of astronomical distances. The basic problem here is that even the nearest stars are too remote for us to reach them physically. Indeed most stars can’t even be resolved by a telescope and are thus indistinguishable from points of light. The intensity of light received falls off as the inverse-square of the distance of the source, so if we knew the luminosity of each star we could work out its distance from us by measuring how much light we detect. Unfortunately, however, stars vary considerably in luminosity from one to another. So how can we tell the difference between a dim star that’s relatively nearby and a more luminous object much further away?
Over the centuries, astronomers have developed a battery of techniques to resolve this tricky conundrum. The first step involves the fact that terrestrial telescopes share the Earth’s motion around the Sun, so we’re not actually observing stars in the sky from the same vantage point all year round. Observed from opposite extremes of the Earth’s orbit (i.e. at an interval of six months) a star appears to change position in the sky, an effect known as parallax. If the size of the Earth’s orbit is known, which it is, an accurate measurement of the change of angular position of the star can yield its distance.
The problem is that this effect is tiny, even for nearby stars, and it is immeasurably small for distant ones. Nevertheless, this method has successfully established the first “rung” on a cosmic distance ladder. Sufficiently many stellar distances have been measured this way to enable astronomers to understand and classify different types of star by their intrinsic properties. A particular type of variable star called a Cepheid variable emerged from these studies as a form of “standard candle”; such a star pulsates with a well-defined period that depends on its intrinsic brightness so by measuring the time-variation of its apparent brightness we can tell how bright it actually is, and hence its distance. Since these stars are typically very luminous they can be observed at great distances, which can be accurately calibrated using measured parallaxes of more nearby examples.
Cepheid variables are not the only distance indicators available to astronomers, but they have proved particularly important in establishing the scale of our Universe. For centuries astronomers have known that our own star, the Sun, is just one of billions arranged in an enormous disk-like structure, our Galaxy, called the Milky Way. But dotted around the sky are curious objects known as nebulae. These do not look at all like stars; they are extended, fuzzy, objects similar in shape to the Milky Way. Could they be other galaxies, seen at enormous distances, or are they much smaller objects inside our own Galaxy?
Only a century ago nobody really knew the answer to that question. Eventually, after the construction of more powerful telescopes, astronomers spotted Cepheid variables in these nebulae and established that they were far too distant to be within the Milky Way but were in fact structures like our own Galaxy. This realization revealed the Cosmos to be much larger than most astronomers had previously imagined; conceptually speaking, the Universe had expanded. Soon, measurements of the spectra of light coming from extragalactic nebulae demonstrated that the Universe was actually expanding physically too. The evidence suggested that all distant galaxies were rushing away from our own with speed proportional to their distance from us, an effect now known as Hubble’s Law, after the astronomer Edwin Hubble who played a major role in its discovery.
A convincing theoretical interpretation of this astonishing result was only found with the adoption of Einstein’s General Theory of Relativity, a radically new conception of how gravity manifests itself as an effect of the behaviour of space-time. Whereas previously space and time were regarded as separate and absolute notions, providing an unchanging and impassive stage upon which material bodies interact, after Einstein space-time became a participant in the action, both influencing, and being influenced, by matter in motion. The space that seemed to separate galaxies from one another, was now seen to bind them together.
Hubble’s Law emerges from this picture as a natural consequence an expanding Universe, considered not as a collection of galaxies moving through static space but embedded in a space which is itself evolving dynamically. Light rays get bent and distorted as they travel through, and are influenced by, the changing landscape of space-time the encounter along their journey.
Einstein’s theory provides the theoretical foundations needed to construct a coherent framework for the interpretation of observations of the most distant astronomical objects, but only at the cost of demanding a radical reformulation of some fundamental concepts. The idea of space as an entity, with its own geometry and dynamics, is so central to general relativity that one can hardly avoid asking what it is space in itself, i.e. what is its nature? Outside astronomy we tend to regard space as being the nothingness that lies in between the “things” (i.e. material bodies of one sort or another). Alternatively, when discussing a building (such as an art gallery) “a space” is usually described in terms of the boundaries enclosing it or by the way it is lit; it does not have attributes of its own other than those it derives from something else. But space is not simply an absence of things. If it has geometry and dynamics it has to be something rather than nothing, even if the nature of that something is extremely difficult to grasp.
Recent observations, for example, suggest that even a pure vacuum of “empty space” possesses “dark energy” energy of its own. This inference hinges on the type Ia supernova, a type of stellar explosion so luminous it can (briefly) outshine an entire galaxy before gradually fading away. These cataclysmic events can be used as distance indicators because their peak brightness correlates with the rate at which they fade. Type Ia supernovae can be detected at far greater distances than Cepheids, at such huge distances in fact that the Universe might be only about half its current size when light set out from them. The problem is that the more distant supernovae look fainter, and consequently at greater distances, than expected if the expansion of the Universe were gradually slowing down, as it should if there were no dark energy.
At present there is no theory that can fully account for the existence of vacuum energy, but it is possible that it might eventually be explained by the behaviour of the quantum fields that arise in the theory of elementary particles. This could lead to a unified description of the inner space of subatomic matter and the outer space of general relativity, which has been the goal of many physicists for a considerable time. That would be a spectacular achievement but, as with everything else in science, it will only work out if we have the correct conceptual framework.
If you were baffled by yesterday’s post then I hope today’s will explain. Yesterday, after an early morning meeting at the University of Sussex, I took the train to Gatwick Airport and thence a flight to Rome; hence volare. The British Airways Flight to Fiumicino Airport I was on arrived about 8 minutes ahead of schedule at 18.12, and I managed to get my luggage and clear passport control and all that in time to catch the 7pm coach to my present location, the city of L’Aquila, which is in the Abruzzo region, about 65 miles East of Rome. I’ve never made this trip before so I was a bit anxious about finding my way here and indeed it would have been a pain had I not caught the 7pm bus, because that would have meant either waiting for the next one (not until 9.30) or going by an alternative route involving a train and a different coach. As it happened, I needn’t have worried.
I’m here to attend a meeting entitled Multiple Messengers and Challenges in Astroparticle Physics, which is taking place at the Gran Sasso Science Institute. As well as the cosmology sessions, which are directly related to my own research, I’m hoping over the next ten days or so to take the opportunity to catch up on the wider developments in astroparticle physics.
L’Aquila was badly damaged by an earthquake in 2009 and there was plenty of evidence of repair and reconstruction work still going on. I’ll take a few pictures here and there, but for the time being I’ll just share the view from my hotel window for the enjoyment of any readers back in rainy England…
Since CERN, the Geneva home of the Large Hadron Collider, is currently celebrating its 60th Anniversary, I thought I would use this organ to correct a widespread misapprehension concerning the the true historical origin of that organization. I have to say the general misunderstanding of the background to CERN is not helped by the information produced locally which insists that CERN is an acronym for Conseil Européen pour la Recherche Nucléaire and that it came into being in 1954. This may be the date at which the Geneva operation commenced, but the organization has a far older origin than that.
CERN is in fact named after the Dorset village of Cerne Abbas, most famous for a prehistoric hill figure called the Cerne Abbas Giant. The following aerial photograph of this outstanding local landmark proves that the inhabitants of Dorset had the idea of erecting a large hardon facility hundreds of years ago…
My twitter feed was already alive with reactions to the paper when I woke up at 6am, so I’m already a bit late on the story, but I couldn’t resist a quick comment or two.
The bottom line is of course that the polarized emission from Galactic dust is much larger in the BICEP2 field than had been anticipated in the BICEP2 analysis of their data (now published in Physical Review Letters after being refereed). Indeed, as the abstract states, the actual dust contamination in the BICEP2 field is subject to considerable statistical and systematic uncertainties, but seems to be around the same level as BICEP2’s claimed detection. In other words the Planck analysis shows that the BICEP2 result is completely consistent with what is now known about polarized dust emission. To put it bluntly, the Planck analysis shows that the claim that primordial gravitational waves had been detected was premature, to say the least. I remind you that the original BICEP2 result was spun as a ‘7σ’ detection of a primordial polarization signal associated with gravitational waves. This level of confidence is now known to have been false. I’m going to resist (for the time being) another rant about p-values…
Although it is consistent with being entirely dust, the Planck analysis does not entirely kill off the idea that there might be a primordial contribution to the BICEP2 measurement, which could be of similar amplitude to the dust signal. However, identifying and extracting that signal will require the much more sophisticated joint analysis alluded to in the final sentence of the abstract above. Planck and BICEP2 have differing strengths and weaknesses and a joint analysis will benefit from considerable complementarity. Planck has wider spectral coverage, and has mapped the entire sky; BICEP2 is more sensitive, but works at only one frequency and covers only a relatively small field of view. Between them they may be able to identify an excess source of polarization over and above the foreground, so it is not impossible that there may a gravitational wave component may be isolated. That will be a tough job, however, and there’s by no means any guarantee that it will work. We will just have to wait and see.
In the mean time let’s see how big an effect this paper has on my poll:
Note also that the abstract states:
We show that even in the faintest dust-emitting regions there are no “clean” windows where primordial CMB B-mode polarization could be measured without subtraction of dust emission.
It is as I always thought. Our Galaxy is a rather grubby place to live. Even the windows are filthy. It’s far too dusty for fussy cosmologists, who need to have everything just so, but probably fine for astrophysicists who generally like mucking about and getting their hands dirty…
This discussion suggests that a confident detection of B-modes from primordial gravitational waves (if there is one to detect) may have to wait for a sensitive all-sky experiment, which would have to be done in space. On the other hand, Planck has identified some regions which appear to be significantly less contaminated than the BICEP2 field (which is outlined in black):
Could it be possible to direct some of the ongoing ground- or balloon-based CMB polarization experiments towards the cleaner (dark blue area in the right-hand panel) just south of the BICEP2 field?
From a theorist’s perspective, I think this result means that all the models of the early Universe that we thought were dead because they couldn’t produce the high level of primordial gravitational waves detected by BICEP2 have no come back to life, and those that came to life to explain the BICEP2 result may soon be read the last rites if the signal turns out to be predominantly dust.
Another important thing that remains to be seen is the extent to which the extraordinary media hype surrounding the announcement back in March will affect the credibility of the BICEP2 team itself and indeed the cosmological community as a whole. On the one hand, there’s nothing wrong with what has happened from a scientific point of view: results get scrutinized, tested, and sometimes refuted. To that extent all this episode demonstrates is that science works. On the other hand most of this stuff usually goes on behind the scenes as far as the public are concerned. The BICEP2 team decided to announce their results by press conference before they had been subjected to proper peer review. I’m sure they made that decision because they were confident in their results, but it now looks like it may have backfired rather badly. I think the public needs to understand more about how science functions as a process, often very messily, but how much of this mess should be out in the open?
There is much complaint these days about the alleged commercialization of UK Higher Education, so I wanted to take this opportunity to state Virgin Airlines that I will not be taking this as a Carling cue to introduce any form of commercial Coca Cola sponsorship of any Corby Trouser Press form into the School of Mathematical Macdonalds and Panasonic Physical Sciences, and certainly not into this Burger King blog.
This week I’ve been working hard preparing for the new Marks and Spencer term and especially for the arrival of our new Samsung students who will be starting their Dixons degrees next week. The Nokia preparations have gone pretty well although I have had Betfair trouble cramming all the Sainsbury things I’ve had to do this BMW week, so I’ll be in Tesco tomorrow and Wonga Sunday to finish off a few Pizza Express jobs, but at least I’ll be able to attend the Vodafone Vice-Chancellor’s receptions for new students on the Carlsberg campus this Waitrose weekend.
In between these Ericsson events I hope to find some time to write a little more Morrisons of the second edition of my book on cosmology, including stuff about the Carphone Warhouse cosmic microwave background (CMB) which produces some of the noise on a Sony television screen, a Classic FM signal from the edge of the Next Universe. The CMB plays an Emirates important role in TK Maxx cosmology as it is the Marlboro smoking gun of the Sainsbury Big Bang and established our Standard Life model of the L’Oreal Universe. The old British Airways edition is a bit out of Aviva date so I will be updating it with Starbucks references to the PlanckFirst Direct results, although I obviously haven’t decided yet what to say about Barclays BICEP2. I think I’ll be adding a Goodfella’s Pizza paragraph or two referring to the House of Fraser Hubble Crown Paints Ultra Deep Kentucky Fried Chicken Field as well.
Anyway, for now its Thank God It’s Friday time to go HSBC home and drink several Dorothy Perkins glasses of Amazon wine.
My week of self-imposed isolation is almost over so I suppose I should try to re-acclimatize myself to the world (or at least the world of the internet) by doing a quick post of a nice video. I remember Brent Tully talking at the conference I went to in Estonia earlier this summer about the work he has been doing with his collaborators on using the local peculiar velocity field to map structures in the galaxy distribution. Now the paper is out in the journal Nature. Laniakeais the name the group chose for the local supercluster which has been known about for some time, but this work provides a more detailed map. The name Laniakea means “immeasurable heaven” in Hawaiian, from “lani” for ‘heaven’ and “akea” for ‘spacious’ or ‘immeasurable’. Rather disappointingly it has nothing to do with Ikea, so sheds little light on my own theory of the Universe.
The other day I was looking through my copy of Monthly Notices of the Royal Astronomical Society (which I buy for the dirty pictures). Turning my attention to the personal columns, I discovered an advertisement for the Science & Technology Facilities Council which is, apparently, considering investing in new space missions related to astronomy and cosmology. Always eager to push back the frontiers of science, I hurried down to their address in Swindon to find out what was going on.
ME: (Knocks on door) Hello. Is there anyone there?
JULIAN: Oh hello! My name’s Julian, and this is my friend Sandy.
JULIAN: ..on account of that’s the only language spoken around here.
ME: So you’re in charge of the British Space Programme then?
JULIAN: Yes, owing to the budget, the national handbag isn’t as full as it used to be so now it’s just me and her.
SANDY: But never fear we’re both dab hands with thrusters.
JULIAN: Our motto is “You can vada about in any band, with a satellite run by Jules and…
SANDY: …Sand.
ME: I heard that you’re looking for some input.
SANDY: Ooooh. He’s bold, in’e?
ME: I mean for your consultation exercise…
JULIAN: Oh yes. I forgot about that. Well I’m sure we’d welcome your contribution any time, ducky.
ME: Well I was wondering what you could tell me about Moonlite?
SANDY: You’ve come to the right place. She had an experience by Moonlight, didn’t you Jules?
JULIAN: Yes. Up the Acropolis…
ME: I mean the Space Mission “Moonlite”
SANDY: Oh, of course. Well, it’s only small but it’s very stimulating.
JULIAN: Hmmm.
SANDY: Yes. It gets blasted off into space and whooshes off to the Moon…
JULIAN: …the backside thereof…
SANDY: ..and when it gets there it shoves these probes in to see what happens.
ME: Why?
SANDY: Why not?
ME: Seems a bit pointless to me.
JULIAN: There’s no pleasing some people is there?
ME: Haven’t you got anything more impressive?
SANDY: Like what?
ME: Maybe something that goes a bit further out? Mars, perhaps?
JULIAN: Well the French have this plan to send some great butch omi to troll around on Mars but we haven’t got the metzas so we have to satisfy ourselves with something a bit more bijou…
SANDY: Hmm…You can say that again.
JULIAN: You don’t have to be big to be bona.
SANDY: Anyway, we had our shot at Mars and it went willets up.
ME: Oh yes, I remember that thing named after a dog.
JULIAN: That’s right. Poodle.
ME: Do you think a man will ever get as far as Uranus?
JULIAN&SANDY: Oooh! Bold!
SANDY: Well I’ll tell you what. I’ll show you something that can vada out to the very edge of the Universe!
ME: That sounds exciting.
JULIAN: I’ll try to get it up right now.
ME: Well…er…
JULIAN: I mean on the computer
ME: I say, that’s an impressive piece of equipment
JULIAN: Thank you
SANDY: Oh don’t encourage her…
ME: I meant the computer.
JULIAN: Yes, it’s a 14″ console.
SANDY: And, believe me, 14 inches will console anyone!
JULIAN; There you are. Look at that.
ME: It looks very impressive. What is it?
SANDY: This is an experiment designed to charper for the heat of the Big Bang.
JULIAN. Ooer.
SANDY: The Americans launched WMAP and the Europeans had PLANCK. We’ve merged the two ideas and have called it ….PLMAP.
ME: Wouldn’t it have been better if you’d made the name the other way around? I mean with the first bit of WMAP and the second bit of Planck. On second thoughts maybe not..
JULIAN: It’s a little down-market but we have high hopes.
SANDY: Yes, Planck had two instruments called HFI and LFI. We couldn’t afford two so we made do with one.
JULIAN: It’s called MFI. That’s why it’s a bit naff.
ME: I see. What are these two round things either side?
SANDY: They’re the bolometers…
ME: What is this this long thing in between pointing up? And why is it leaning to one side?
SANDY: Well that’s not unusual in my experience …
JULIAN: Shush. It’s an off-axis Gregorian telescope if you must know.
ME: And what about this round the back?
SANDY: That’s your actual dish. It’s very receptive, if you know what I mean.
ME: What’s that inside?
JULIAN: That’s a horn antenna. We didn’t make that ourselves. We had to get it from elsewhere.
ME: So who gave you the horn?
SANDY: That’s for us to know and you to find out!
ME: So what does it all do?
JULIAN: It’s designed to make a map of what George Smoot called “The Eek of God”.
ME: Can it do polarization?
JULIAN: But of course! We polari-ize everything!
ME: Like BICEP?
JULIAN: Cheeky!
SANDY: Of course. We’re partial to a nice lally too!
JULIAN: But seriously, it’s fabulosa…
SANDY: …Or it would be if someone hadn’t neglected to read the small print.
ME: Why? Is there a problem?
JULIAN: Well, frankly, yes. We ran out of money.
SANDY: It was only when we got it out the box we realised.
ME: What?
JULIAN & SANDY: Batteries Not Included!
With apologies to Barry Took and Marty Feldman, who wrote the original Julian and Sandy sketches performed by Hugh Paddick (Julian) and Kenneth Williams (Sandy) for the radio show Round the Horne. Here’s an example of the real thing:
Some years ago I went to a seminar on the design of an experiment to measure the polarization of the cosmic microwave background. At the end of the talk I asked what seemed to me to be an innocent question. The point of my question was the speaker had focussed entirely on measuring the intensity of the radiation (I) and the two Stokes Parameters that measure linear polarization of the radiation (usually called Q and U). How difficult, I asked, would it be to measure the remaining Stokes parameter V (which quantifies circular polarization)?
There was a sharp intake of breath among the audience and the speaker responded with a curt “the cosmic microwave background is not circularly polarized”. It is true that in the standard cosmological theory the microwave background is produced by Thomson scattering in the early Universe which produces partial linear polarization, so that Q and U are non-zero, but not circular polarization so V=0. However, I had really asked my question because I had an idea that it might be worth measuring V (or at least putting an upper limit on it) in order to assess the level of instrumental systematics (which are a serious issue with polarization measurements).
I was reminded of this episode when I saw a paper on the arXiv today by Asantha Cooray, Alessandro Melchiorri and Joe Silk which points out that the CMB may well have some level of circular polarization. When light travels through a region containing plasma and a magnetic field, circular polarization can be generated from linear polarization via a process called Faraday conversion. For this to happen, the polarization vector of the incident radiation (defined by the direction of its E-field) must have non-zero component along the local magnetic field, i.e. the B-field. Charged particles are free to move only along B, so the component of E parallel to B is absorbed and re-emitted by these charges, thus leading to phase difference between it and the component of E orthogonal to B and hence to the circular polarization. This is related to the perhaps more familiar process of Faraday rotation, which causes the plane of linear polarization to rotate when polarized radiation travels through a region containing a magnetic field.
Anyway, here is the abstract of the paper
The primordial anisotropies of the cosmic microwave background (CMB) are linearly polarized via Compton-scattering. The Faraday conversion process during the propagation of polarized CMB photons through regions of the large-scale structure containing magnetized relativistic plasma, such as galaxy clusters, will lead to a circularly polarized contribution. Though the resulting Stokes-V parameter is of order 10-9 at frequencies of 10 GHz, the contribution can potentially reach the total Stokes-U at low frequencies due to the cubic dependence on the wavelength. In future, the detection of circular polarization of CMB can be used as a potential probe of the physical properties associated with relativistic particle populations in large-scale structures.
It’s an interesting idea, but it’s hard for me to judge the feasibility of measuring a value of Stokes V as low as 10-9. Clearly it would only work at frequencies much lower than those probed by current CMB experiments such as BICEP2 (which operates at 150 GHz). Perhaps if the speaker had answered my question all those years ago I’d be in a better position to decide!
So here I am, then, sitting in my hotel room in Copenhagen and drinking coffee, filling in time before I check out and travel to the airport for the journey home. I don’t have to be there until this afternoon so today is going to be a bit more leisurely than the rest of the week has been. It’s nice to get a couple of hours to myself.
It was an interesting little workshop, with lots of time for discussions, but lurking in the background of course was the question mark over BICEP2. Many theorists have clearly been beavering away on models which assume that BICEP2 has measured primordial gravitational waves and I suspect most of them really want the result to be correct. When I posted a message on Twitter about this, Ian Harrison posted this homage to a famous poster for the TV series The X-files. There’s more than a little truth in the comparison!
Whatever the truth about the BICEP2 measurements there’s no question that it’s a brilliant experiment, with exquisite sensitivity. There is no question that it has detected something so faint that it boggles the mind. Here is a slide from Phil Lubin’s talk at the meeting, which shows the unbelievably rapid improvement in sensitivity of microwave detectors:
I don’t think cosmologists ever pay enough credit to the people behind these technological developments, as it is really they who have driven the subject forward. In the case of BICEP2 the only issue is whether it has picked up a cosmological signal or something from our own Galaxy. Whatever it is, it’s an achievement that deserves to be recognized.
And as for the claims of the person responsible for the post I reblogged yesterday that the cosmic microwave background is a fraud, well I can assure you it is not. Any scientific result is open to discussion and debate, but the ultimate arbiter is experimental test. Several independent teams are working in competition on CMB physics and any fraud would be easily exposed. The cosmic microwave background is out there.
The views presented here are personal and not necessarily those of my employer (or anyone else for that matter).
Feel free to comment on any of the posts on this blog but comments may be moderated; anonymous comments and any considered by me to be vexatious and/or abusive and/or defamatory will not be accepted. I do not necessarily endorse, support, sanction, encourage, verify or agree with the opinions or statements of any information or other content in the comments on this site and do not in any way guarantee their accuracy or reliability.