sábado, 9 de noviembre de 2019

Relativity: The Special and the General Theory

This year is the centennial of the publication of Einstein's general theory of relativity. I got in my hands on the Pi Press edition, which was published 10 years ago (coinciding with the centennial of the special theory of relativity.) Yesterday, the New Horizons spacecraft flew past Pluto, sending huge volumes of information back to Earth - and the day before, CERN announced that the LHC has found proof of the existence of the pentaquark. Science continues to reach new frontiers, though nothing that can compete with the relativity revolution ushered in by Einstein a century ago.

This edition has an introduction by Roger Penrose which focuses on Einstein's theories in the history of science – where he argues (and he’s certainly not alone about that) that the special theory of relativity had in fact long been in the works in 1905 and would have been formulated eventually also if there had been no Einstein. But it is the general theory of relativity that is Einstein’s unique contribution, and which proved to be so thoroughly revolutionary.
The book also includes an essay by David C. Cassidy titled "The Cultural Legacy of the Relativity Theory" which examines the impact of the theory outside of physics. This proved to be an interesting read and for me it contained lots of new information. On the reception of the theory among the general public he writes: "Relativity was not just another important new theory. It profoundly challenged the common understanding of everyday physical concepts — space, time, mass, simultaneity.(...) Even the very name "theory of relativity," coming after the rise of Darwin's theory of evolution, seemed to confirm the decline of old absolute values and beliefs, together with the old world order, and the triumph of a universal relativism. Einstein, of course, objected to such interpretations. Relativity theory had nothing to do with relativism, he insisted. In fact, he had first called it the "theory of invariants," for its emphasis on the unchanging character of natural laws within different reference frames."
Though Einstein’s objections were indeed to the point, they also regrettably didn’t help much. It would seem that the real problem was - and still is - the widening gap between specialists and non-specialists; between scientists and the general public.

My first read of Einstein’s Relativity contained only his own text as published in 1916. After the read I didn’t really feel a whole lot wiser, but rereading Einstein's text was definitely useful. It also helped that this time I knew the disposition of the text and could attack it proceed with more patience. I also identified what had hampered me so much on the first read: that pesky Lorentz transformation! It wasn't quite as daunting this time around. Still, in comparison Gaussian coordinates is a piece of cake. So when Einstein states the general principle of relativity as "All Gaussian coordinate systems are essentially equivalent for the formulation of the general laws of nature," I feel rather relieved that I can say ok I get that - somehow. Stephen Hawking writes in A Brief History of Time that "seventy years ago, if [Arthur] Eddington is to be believed, only two people understood the general theory of relativity." Which really brightened my day -- if only for a split second however, since he goes on to say: "Nowadays tens of thousands of university graduates do, and many millions of people are at least familiar with the idea." I liked that he used the term "familiar", I feel it applies to me as well.

Also included in this edition is a commentary by Robert Geroch which provides some useful elucidations expanding on the explanations Einstein uses in the various chapters. Einstein’s own examples aren't necessarily the best, so for myself Geroch's comments were very welcome and mostly quite helpful – and he also describes more recent developments in this field. I’m certain it would have made a difference if I had started out with this edition, and I’d recommend it to anyone.

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