De Valera Connections

Posted in History, mathematics, Maynooth, Television with tags , , , , on September 11, 2025 by telescoper

On September 4th, when I posted a piece about the forthcoming Presidential Election in Ireland, I forgot to mention that just two days earlier was the 50th anniversary of the funeral of Éamon de Valera, founder of Fianna Fáil (one of the two largest political parties in Ireland) and architect of the Irish constitution, who died on 29th August 1975 at the age of 92. Here’s some coverage at the time by (British) Movietone News, the commentary is rather generous to him:

De Valera (nickname `Dev’) is an enigmatic figure, who was a Commandant in the Irish Republican Army during the 1916 Easter Rising, but despite being captured he somehow evaded execution by the British. There’s no evidence, incidentally, that he escaped the firing squad because he was born in America. Dev subsequently became Taoiseach (Prime Minister) and then President (Head of State) of the Irish Republic.

Eamon de Valera, photographed sometime during the 1920s.

There’s no question in my mind that de Valera is the most significant Irish politician of the 20th Century, which is not to say I fid him an agreeable figure at all and his legacy isn’t particularly positive. Nevertheless, his funeral was perhaps as significant event for the Irish as that of Winston Churchill had been for the British just a decade earlier.

Over the past couple of weeks RTÉ television broadcast a two-part documentary called Dev: Rise and Rule; the second part was on last night. It is quite nicely made, but disappointingly superficial and lacking in any real historical insight. The suggestion that it would “decode” Dev was unfulfilled. This is a pity because RTÉ often does good documentaries.

Anyway, this gives me an excuse to mention again, Dev’s connection with Maynooth. De Valera was a mathematics graduate, and for a short time (1912-13) he was Head of the Department of Mathematics and Mathematical Physics at St Patrick’s College, Maynooth, which was then a recognised college of the National University of Ireland. The Department became incorporated in Maynooth University when it was created in 1997. Mathematical Physics is no longer a part of the Mathematics Department at Maynooth, having first become a Department in its own right, then changing its name to the Department of Theoretical Physics and then, just last year, being subsumed within a new Department of Physics.

De Valera missed out on a Professorship in Mathematical Physics at University College Cork in 1913. He joined the the Irish Volunteers, when it was established the same year. And the rest is history. I wonder how differently things would have turned out had he got the job in Cork?

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Agricola’s Crossings

Posted in History with tags , , , , , , on September 10, 2025 by telescoper

Over the past few weeks since I wrote a post about the account by Tacitus of a potential Roman invasion of Ireland led by Agricola I’ve been thinking about a couple of open questions and digging around in various commentaries to try to shed light on them. Both of these pertain to the first section of Part 24 of the account, which is in the fifth year of his Agricola’s campaigning

Quinto expeditionum anno nave prima transgressus1 ignotas ad id tempus gentis crebris simul ac prosperis proeliis domuit; eamque partem2 Britanniae quae Hiberniam aspicit copiis instruxit...

The first question relates to transgessus meaning “crossed”. Where did he cross? I remembered all the way back to school days reading some of this, and found the following in Vol. 1 of the Latin textbook we used back then (Wilding’s Latin Course for Schools). On page 68 of that tome we find the following as part of an exercise to translate from Latin to English:

Agricola copias Clanoventae, ubi ora Britanniae ad Hiberniam spectat...

Clanoventae is a Roman name for the town of Ravenglass, near the Cumbrian coast. At the time I took this to be a direct quote from Tacitus, but it isn’t. Obviously Wilding made that bit up! There is evidence of substantial Roman activity at Ravenglass, but none that this was the place he placed the troops intended for a possible invasion of Ireland. Moreover, the actual quote from Tacitus makes it clear that he “crossed” with ships, but that doesn’t seem right when you look at the location (marked with the red thingy):

It’s quite a long way to “cross” from there to modern-day Scotland, and in any case what you would see from there is first and foremost the Isle of Man. From there he could definitely see both Britain and Ireland, but as far as I know there’s little or non direct evidence of Roman activity there, though the Romans did know it through trading interactions. They called it Insula Manavia. Tacitus does not use place names very often – there are only half-a-dozen – in the entire book about Agricola but it seems to me he would not have confused it with Hibernia.

Putting my school textbook away and turning to other commentaries, I didn’t find any real consensus but the best bet is that what Agricola crossed was the Solway Firth, and where he crossed from could well have been Maryport, also a well-known Roman military site (called Alauna). There is no direct evidence for that either, though, and the earliest directly dated evidence of significant activity there is much later, around 122AD. Agricola’s incursion to Scotland was around 81 AD.

If Agricola did cross the Solway Firth he and his army would have landed in what is now Dumfries and Galloway. Most commentaries now believe that the place from which he could see Ireland would be the Rhinns of Galloway, the hammer-shaped peninsula to the West of Stranraer. Now that isn’t the part of Scotland closest to Ireland – that would be the Mull of Kintyre, much further North – but it is pretty close, and it certainly does face across the Irish Sea with nothing in the way.

There is also plenty of evidence of Roman activity near Stranraer, including a settlement and fort in a place known to them as Rerigonium. There are also traces of a Roman road. That is important because, to the Romans, roads were primarily military structures, meant to facilitate the movement of troops and supplies quickly. Had the Romans ever invaded Ireland they would have built an extensive network of roads, as they did in England.

It seems to me that Rerigonium would have been a good choice of place to launch the putative invasion. Loch Ryan would have provided a natural harbour for the ships that would take troops the short distance to Ireland and it’s not difficult to imagine a Roman legion embarking there.

P.S. When I was a lad there were regular ferries from Stranraer to Belfast and back, but now they operate to and from Cairnryan, about 6 miles further up Loch Ryan.

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Peasant Spreading Manure – Jean-François Millet

Posted in Art, Maynooth on September 9, 2025 by telescoper

One of the consequences of living in a (relatively) small Irish town surrounded by farmland is that every now and again you notice authentic countryside smells. This time of year is often accompanied by the whiff created by the slurry being spread on nearby fields. The farmers typically do this in mid to late September, depending on the weather; it is actually not allowed after 30th September). When I first noticed this sort of pong I thought there was something wrong with the drains, but you get used to it.

Anyway, this made me think of this painting

by Jean-François Millet (1851, oil on canvas, 37.3 cm x 55.2 cm, Van Gogh Museum, Amsterdam)

Of course the manure isn’t spread by hand nowadays. It’s done like this:

(I got this picture from a piece in the Irish Times about slurry as a poetic metaphor.)

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The Bronze Shoes

Posted in Biographical, History, Maynooth with tags , , , , , , on September 8, 2025 by telescoper

About a month ago I posted an item about the National Famine Way, at the end of which I signalled my future intention to walk the 165 km 6-day route from Strokestown to Dublin. I was subsequently contacted by a number of people warning me that I might not be up to it. They didn’t put me off, but I have come up with a plan. This week – on Wednesday in fact – I will have the injections I get every six months or so to control the arthritis in my knees. Thus fortified, I intend next week to do a trial run walk consisting of the last stage of the Famine Way, from Maynooth to Dublin, along the Royal Canal. That’s about 27km and will take most of a day. I’ll stop on the way for lunch and when I get to the end I can get the train back to Maynooth. And if I run walk into difficulties I can stop at one of the intermediate stations and return from there; the canal runs right alongside the railway line for most of the way. If all goes to plan I’ll take time off next year to do the whole trip from Strokestown.

Meanwhile here’s a picture of one the poignant bronze sculptures of children’s shoes placed along the way. This one is at Maynooth harbour; there are 8 others on the way to Dublin.

To learn more about these shoes, see here, and here’s a video telling the story

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With Term Approaching…

Posted in Biographical, Maynooth with tags , , on September 7, 2025 by telescoper

With just two weeks to go before we resume teaching at Maynooth University, I find that next week I have no fewer than three medical appointments next week, on different days and in different locations. All of them are (or should be) routine, and none are particularly serious. Much as I dislike hospitals, etc, it will be good to get these bits of scheduled maintenance out of the way before the start of term.

On the other hand, they mean that I have to miss what looks like a very nice meeting in Italy in honour of Sabino Matarrese. I was invited, and initially accepted, but had to cancel. I hope that it goes well!

For old time’s sake I thought I’d post this picture of a youthful Sabino from years ago; he’s in the middle of the row nearest the camera; I’m at the end in the yellow shirt.

Anyway, last Friday our first cohort of MSc students in Theoretical Physics and Mathematics received their final results. This course lasts a calendar year so the results come out later than for the undergraduate courses. Congratulations to them all, but especially to Enda who completed a project under my supervision that we hope to turn into a paper before long.

Some familiar faces will no longer be around, but soon we will be joined by some new ones. Tomorrow, registration opens up for incoming first-year students at Maynooth and later in the week for returning second-, third-, and fourth-year students. By this time next week we’ll have a much better idea how many students there will be in our classes for the new academic year.

On Friday (12th September) I’ll be off to the National Concert Hall for the 2025/6 Season Opener with the National Symphony Orchestra conducted by Leonard Slatkin, another indication that Autumn Semester is nigh.

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Happy World Beard Day!

Posted in Beards with tags , on September 6, 2025 by telescoper
World Beard Day. Holiday design with handsome bearded men for social media post, banner, poster, card. Vector illustration isolated on white background

Today is World Beard Day 2025. I refer you to this post by Keith Flett, Spokesbeard of the Beard Liberation Front for further information about this important annual celebration:

World Beard Day: Beards have changed the world

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Weekly Update from the Open Journal of Astrophysics – 06/09/2025

Posted in OJAp Papers, Open Access, The Universe and Stuff with tags , , , , , , , , , , , on September 6, 2025 by telescoper

It’s Saturday again, so it’s time for a summary of the week’s new papers at the Open Journal of Astrophysics. Since the last update we have published two new papers, which brings the number in Volume 8 (2025) up to 127, and the total so far published by OJAp up to 362. It’s been another relatively slow week, not least because of the Labor (sic) Day holiday in the USA on Monday which, among other things, meant there was no arXiv update on Tuesday.

Anyway, the first paper to report this week is “An analytical model for the dispersion measure of Fast Radio Burst host galaxies” by Robert Reischke, Michael Kovač & Andrina Nicola (U. Bonn, Germany), Steffen Hagstotz (Ludwig-Maximilians Universität München) and Aurel Schneider (U. Zurich, Switzlerland). This is a theoretical study of the dispersion measures (DMs) intrinsic to host galaxies of Fast Radio Burst (FRB) sources to enable separation of that from the line-of-sight DM. This one was published on Monday 1st September 2025 in the folder Cosmology and NonGalactic Astrophysics.

The overlay is here:

 

You can make this larger by clicking on it.  The officially accepted version of this paper can be found on the arXiv here.

The second paper this week, published on Wednesday 3rd Sepember in the folder Solar and Stellar Astrophysics, is “Complex spectral variability and hints of a luminous companion in the Be star + black hole binary candidate ALS 8814” by Kareem El-Badry (Caltech, USA), Matthias Fabry (Villanova U., USA), Hugues Sana (KU Leuven, Belgium), Tomer Shenar (Tel Aviv U., Israel) and Rhys Seeburger (MPA Heidelberg, Germany).

The overlay for this one is here:

 

You can find the officially accepted version on arXiv here.

And that’s all the papers for this week. It’s still a bit slow as we emerge from the summer vacations, we have a lot of papers in the pipeline that I expect to emerge pretty soon.

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A Hitchhiker’s Guide to the Swampland

Posted in Maynooth, The Universe and Stuff with tags , , , , , on September 5, 2025 by telescoper

A very comprehensive review article has appeared on arXiv with the title Hitchhiker’s Guide to the Swampland: The Cosmologist’s Handbook to the string-theoretical Swampland Programme by Kay Lehnert (who just happens to be my PhD student). The paper is 170 pages long and contains over 1,800 references, which gives some idea of what a large field this is and how much work Kay has put into writing it!

This is Figure 3 from Kays paper. If you would like to know more of what it is about, turn to page 50…

The abstract reads

String theory has strong implications for cosmology: it tells us that we cannot have a cosmological constant, that single-field slow-roll inflation is ruled out, and that black holes decay. We elucidate the origin of these statements within the string-theoretical swampland programme. The swampland programme is generating a growing body of insights that have yet to be incorporated into cosmological models. Taking a cosmologist’s perspective, we highlight the relevance of swampland conjectures to black holes, dark matter, dark energy, and inflation, including their implications for scalar fields such as quintessence and axions. Our goal is to inspire cosmological model builders to examine the compatibility of effective field theories with quantum gravitational UV completions and to address outstanding cosmological tensions such as the Hubble tension. This comprehensive literature review presents clear definitions, cosmological implications, and the current status – including evidence and counterexamples – of the following swampland conjectures: the anti-de Sitter distance conjecture (AdSDC), the completeness conjecture (CC), the cobordism conjecture, the de Sitter conjecture (dSC), the swampland distance conjecture (SDC), the emergence proposal (EP), the Festina Lente Bound (FLB), the finite number of massless fields conjecture (or finite flux vacua conjecture (FFV)), the no global symmetries conjecture, the no non-supersymmetric theories conjecture, the non-negative null energy condition conjecture, the positive Gauss-Bonnet term conjecture, the species scale conjecture, the gravitino swampland conjecture (GSC), the tadpole conjecture, the tameness conjecture, the trans-Planckian censorship conjecture (tPCC/TCC), the unique geodesic conjecture, and the weak gravity conjecture (WGC), including the repulsive force conjecture (RFC).

This is essentially the literature review part of Kay’s thesis; the aim of his research is to study the implications of the string-theoretical swampland programme for cosmology. He’s particularly interested in the predictions string theory makes regarding inflation, dark energy, and dark matter, and the impact this has on the Hubble tension. The point of writing this review was to suggest projects that might be undertaken to bring string theory into the realm of testability, thus suppling material for the rest of Kay’s thesis, but I think it is also a very good guide for cosmologists of all types to what the swampland conjectures are and what they do and do not say about the Universe we actually live in.

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A New President (of Ireland)

Posted in Biographical, Politics with tags , , , , on September 4, 2025 by telescoper

Yesterday the official Presidential Election Order was tabled which means that an election for the office of President of Ireland (Uachtarán na hÉireann) will be held in the Republic on Friday 24th October 2025. The incumbent Michael D. Higgins will have served his second 7-year term by November and since by the Constitution nobody can hold the office more than twice, we will have a new President of the Republic.

The Irish media have been trying to make news about the presidential election all summer, which has been pointless and tedious to put up as no candidates had even been nominated then. Actually nobody has yet either, as nominations don’t officially open until tomorrow; they close on September 25th. Still, at least the process has started.

In order to progress to the election, a candidate has to receive the support of at least 20 members of the Oireachtas or at least 4 local authorities (i.e. councils). Former or retiring Presidents can nominate themselves but this is not relevant here.

The way the election works is that voters rank all candidates. In the first round of counting, first preference votes are totted up and if one candidate has more than 50% he/she is elected. If not an Instant Runoff method is used, with votes of lower-ranked being reallocated until there’s a winner (ie until one candidate gains a majority).

I just checked the online electoral register to confirm my status:

I will wait to see who has acually been nominated before deciding who to vote for. In the last Presidential Election (2018), five candidates opposed the re-election of Michael D. Higgins, three of them businessmen best known for having appeared on the Irish version of the TV show Dragon’s Den. There’s ample evidence from elsewhere that the products of reality TV shows do not make good presidents. Neither do rapists, so let’s hope Conor McGregor does not get nominated. It is likely that there will be more than six candidates this time and the election will be more closely contested that last time. In 2018 the turnout was very low, no noubt because many people assumed – correctly – that Higgins would win. In the event he got over 56% of the first-preference vote so the transfers were irrelevant. That might not be the case this time.

The Presidency of Ireland is a ceremonial rather than an executive office, and it has little actual power associated with it. It is nevertheless important in that the President is the guardian of the Constitution as well as representing the Irish Nation as a kind of ambassador and as patron of many good causes. Surprisingly, some of the people who want to put themselves forward don’t seem to know anything about what the job entails. Hopefully, the more obvious fruitcakes who put themselves forward will fail to get nominated. I think Michael D. Higgns has carried out his duties in a very dignified and diligent way over the years, and will be a very hard act to follow. I’ve been proud to have him as my President.

It’s hard to believe that seven whole years have passed since the last election. There’s another reminder of that coming up on Friday September 12th when I will be going to the National Concert Hall for a performance by the National Symphony Orchestra that marks the opening of the 2025/6 season. On September 15th 2018 I went to the season opener for that year. That was also my first ever visit to the National Concert Hall. To mark the occasion we were in the presence of the man himself , Michael D Higgins, and his wife Sabena. The President attended as Patron of the National Symphony Orchestra. I don’t know whether he will attend on Friday 12th September, but if he does I’m sure he will get a good ovation. As well as many other things Michael D. Higgins has been a very strong advocate for the Arts in Ireland. I’m not sure his successor will live up to the standard he set.

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A Primordial Black Hole?

Posted in The Universe and Stuff with tags , , , , , on September 3, 2025 by telescoper

There’s a recent paper on arXiv with the title A direct black hole mass measurement in a Little Red Dot at the Epoch of Reionizationon by Juodžbalis et al. that is causing a lot of interest. The paper is here and the abstract is:

There is a discussion of this in the Grauniad here and in several other places on the interwebs. It comes hard on the heels of the theoretical paper announced here.

I only saw this paper yesterday and, now that I’ve read it, it isn’t really all that clear to me what this object is. No doubt there’ll be considerable follow-up. One possibility – and it is just a possibility – is that we are seeing evidence of a primordial black hole, called a PBH for short. These are black holes formed by direct collapse in the early Universe rather than by merging of stellar black holes. Note the use of the word “naked” is rather misleading. It does not mean a naked singularity, in the sense of a singularity without an event horizon around it. In this case it just means that it appears not to be surrounded by accreting material or even a host galaxy.

A PBH of mass M would form at a particular cosmic time t if a region of radiius ~ct (the cosmological horizon scale) collapses into a black hole. Obviously this would require a large fluctuation in density on that scale but if a PBH does form then its mass will be roughly the mass contained within the horizon, i.e. M ~ ρ(t) (ct)3 (ignoring dimensionless factors). The sort of mass required (~106 M☉) corresponds to a time when the Universe was radiation-dominated and before matter and radiation decoupled. What would be inside such a black hole is therefore predominantly trapped radiation, which is Quite Interesting, but as far as the outside universe is considered it’s just a massive black hole.

Graphic by European Space Agency showing how structure formation might be affected by PBH formation

Anyway, during radiation domination, the mass-energy density of the Universe ρ(t) ∝ t-2, so the horizon mass increases linearly with t. According to the standard cosmology, the epoch of radiation domination lasts for approximately 50,000 years after the Big Bang, i.e. of order 1012 seconds, and at the end of it the horizon mass is of order 1014 M☉. Assuming that the universe is completely radiation-dominated before that the time at which a PBH of mass 106 M☉ would form is about 104 seconds, i.e. getting on for 3 hours after the Big Bang. This is after the end of cosmological nucleosynthesis, but not by much. Primordial black holes of lower mass than this would form earlier, with a stellar mass PBH having to collapse around the time of the quark-hadron transition. Lighter PBHs would form even earlier.

The numbers I’ve quoted are very approximate, back-of-the-envelope, ballpark guesstimates. For one thing not all of the horizon mass will end up in a PBH: energy may well be released during the collapse. Moreover, some PBHs on one scale will subsequently be subsumed within objects of larger mass. Also I’ve ignored quite a lot of numerical factors. All this will have to be worked out properly, but there are potential constraints on any physical processes that might give rise to PBHs on the relevant scale if they involve a release of significant amount of energy as there may not be time for this excess to be thermalized by scattering or they may intefere with the element abundances predicted by nucleosynthesis.

That is all assuming it is a primordial black hole in the first place…

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