Yesterday, I have managed to complete a writing project and in some way, I consider it as an 'achievement' of some sort for me to take small steps in believing myself again. Ever since my retirement and not taking up part-time jobs, I have always been questioning myself with may periods of feeling self-worthlessness. In any case, some people say that it is after retirement that one gets to do what one really wants to do. To some, it may be going on holidays (not rich enough), going for pilgrimage (only managed to do umrah, not yet haj). For me, it seems I just want to make the most out of my thinking life while I still can (I take note of the moments of when I get to be forgetful).
Before my retirement, I told myself that I wanted to return to quantum field theory where problems are aplenty. Instead I found myself to relearn statistical mechanics. Among the theoretical subjects that I have taught back in UPM, this was the least comfortable. It was when I started using DiCastro & Raimondi, "Statistical Mechanics and Applications in Condensed Matter", thinking that it might help the students who are largely from the materials science major. It is certainly not the friendliest book to start on Statistical Mechanics. However I found one topic that was rarely discussed anywhere else in statistical mechanics text book, which is the Boltzmann equation (not the formula for entropy). Whenever I read Boltzmann's molecular chaos hypothesis, I wonder what would be its mathematical form look like and it seems Boltzmann's equation gave what it needs.
From there, I veered into picking up more Statistical Mechanics book that I have. I first took up Yourgrau, van der Merwe and Raw, "Treatise on Irreversible and Statistical Thermophysics".
However after a while, I found myself taking up this book by Denbigh & Denbigh, "Entropy in Relation to Incomplete Knowledge" again. This is much due to my reading on Chris Fuchs correspondences (see here)
The book deals with objectivity vs subjectivity, a topic that I got interested from reading Fuchs. I thought it would be a main part of the writing project that I mentioned at the beginning of the post but unfortunately it didn't. In the beginning, I wanted to read this book from cover to cover and thought that I could finish in a month. Three months passed and then only I finished the book. This is because I was making notes as I read it and often these notes are being written twice (the first is a draft, the second is the tidied written notes for me to keep). Towards the end (the last chapter), I've given up on the notes. To a certain extent, I was really disappointed with myself.
The writing project actually began quite late (slightly less than a month ago) with most of the time was brewing ideas in my head. I was also reading other papers along the way (without taking notes unfortunately and had to rely on my memory reading them). Having that project out of the way, it's time for me to start a new one. One of the things that I wanted to do is to go through the details of this paper "On the Cocycle Structure of the Boltzmann Distribution" and I hope to blog about it. Associated to this, I would like to go through the work of Caratheodory and Souriau's book "Structure of Dynamical Systems". Let's see how it goes.






















