It was the first months of 1977, and I was in bed with the usual winter flu. The year before, during a monetary crisis, the national currency at the time â the Italian Lira â was devalued by 12%, terrorist violence continued to claim victims, and a disastrous earthquake in the north-east of the Country caused the death of over a thousand people.
At the time I attended the Pablo Picasso middle school (a print of the paint Guernica was hanging right beyond the school entrance), a three-year bridge between primary school and high school, hosted in a building that no longer exists. I was used to walking there with three or four friends from primary school years. The meeting point was near my parentsâ flat, and we walked to school as a group, at a brisk pace, going through some narrow streets flanking an old and abandoned warehouse.
At school, I found the lessons generally easy to follow, the teachers were good, and I especially liked maths and science. But bullying and intimidation were standard fare, and it wasn't fashionable to be a good student with top marks. In fact, I will never forget one of my classmates, a girl of whom I still remember the name, telling me one day: Salaris, good students are out of fashion these days!
Close to school, there was a bookshop with always a selection of science books on its shelves. I stopped every day to look at the titles and covers, fascinated especially by astronomy books, which were often displayed alongside publications on UFOs and aliens. I loved science books, an interest probably born during visits to the nearby flat of my uncle. The bookshelves in his living room were filled with not only comics and science fiction books but also several encyclopaedias, and during every visit, I spent hours reading about physics, astronomy, and maths in those volumes. Watching live on television the Apollo astronauts walking or driving on the surface of the Moon must have also played a role. I could not know it at the time, but today it looks like an extraordinary privilege to have grown up at the only time (so far) in history when humans set foot on an alien world. Sometimes I wonder whether it will ever be repeated.
A few days before I was in bed with the flu, I saw on display in that shop a book called Stars and galaxies, and I had enough money with me to buy it (it's still somewhere at my mother's place). It was a hardcover little book, with lots of colour figures and photos, written by a Spanish professor and translated to Italian. I had the pleasure of meeting the author, Ramon Canal of the University of Barcelona, almost 20 years later, when I was a postdoc at the Institute of Space Studies of Catalonia. However, at the time of this meeting, I did not recall he was the author of that âfatefulâ book.
That winter morning, warm under the covers, I began to read about stars and galaxies. It wasn't the first popular astronomy book I read, and I did not expect any earth-shattering new revelation. After a first half devoted to galaxies, in the following sections about stars I discovered for the first time âstellar evolutionâ. The realization that stars evolve changing size, brightness, temperature, their inner structure and chemical composition was like an epiphany. First of all, the concept that stars evolve and change was fascinating and made them much more interesting in the eyes of a young boy. Secondly, their evolution coherently explained the various stellar classifications found in the popular books I read before.
Two important points escaped me at the time (after all, I was only 11 years old and not a child genius). The first one is that the Big-Bang (the âbirthâ of the universe, weâll see more about this in chapter 2) produces essentially only hydrogen (H) and helium (He) but if you look at the chemical composition of the human body, youâll find that about 65% of the mass of a person is made of oxygen (O), about 10% of H, 18% of carbon (C), 3.3% of nitrogen (N), 1.5% of calcium (Ca), 1% of phosphorous (P), plus small percentages of other elements like magnesium (Mg), potassium (K), sulphur (S), sodium (Na). Apart from the 10% of hydrogen, the other elements must have been produced after the Big-Bang, and indeed the theory of stellar evolution shows that they are all synthesized at high temperature in the interior of stars, and eventually ejected in the interstellar space. Out of interstellar gas enriched by stellar ejecta new generations of stars (and planets) form and evolve, and the cycle is repeated. We owe our existence not only to the light coming from the Sun but also to unknown stars that, before the Sun was born, have produced the elements that make up our bodies. It sounds melodramatic and not very original to state that we are all âstarsâ childrenâ, but indeed we are. And this is a very sobering fact.
The second implication that I failed to grasp, was that if stars evolve, and if we can mathematically predict their evolution, then it must be possible â at least to some degree â to determine their age. And measuring the age of stars ended up â mostly by chance â to be one of the main lines of my research, after I was lucky enough to satisfy what became my crazy childhood dream of becoming a scientist.
1.1 Why do ages of stars matter?
Stars cannot talk to us, they cannot show us their identity cards, and evolve on timescales much longer than human (and whole civilizations) lifetimes. Historically, their unchanging appearance in contrast to the terrestrial realm was taken as a sign that the heavens had a fundamentally different nature. Determining the age of stars is a bit like the work of a forensic anthropologist, although not remotely as macabre. Forensic specialists apply anthropology to criminal investigations and help identify human remains, estimating the age of the victims, as we have seen hundreds of times in television series. Their work rests on the knowledge of how human bodies develop over time and is based, among others, on the degree and location of bone growth. Our bones are mostly soft cartilage at birth, which is then slowly replaced by hard bone at over 300 different centres of growth. These centres of growth eventually fuse to form the bones we find in adult bodies. And after the body stops growing, some bones begin to fuse together. Given that we know the speed at which these processes advance, anthropologists can use the observed patterns of bone development to estimate ages.
Along the same lines, if we can calculate reliable models of stars and their evolution, we should be able to find time-varying features to be observed and exploited for age determinations. But why should we be so keen to determine the ages of stars, apart from our innate compulsion to learn about the world around us?
Let's start with an example closely connected to our existence as a species, If we are completely ignorant about the structure and evolution in time of our star, we can't predict if/when its luminosity and its size will change,...