In the previous post in this series, I gave the rationale for undertaking this extended (re-)examination of the geometry of the semi-symmetric metric connection (SSMC): essentially, it represents (to my mind) the most ultra-minimalist extension to General Relativity (GR) at all possible – or so I thought back in the early 1990s – given that it introduces precisely one new object – a vector field – as part of the connection.
In gauge field theories the “connection” carries the gauge field, while the “curvature” corresponds to the field strength, a view that was argued in a book by Göckeler and Schücker (1989), which I had also been reading at that time. Since electromagnetism is often introduced as the archetypal gauge field in mathematical treatments of differential geometry (such as that by Göckeler & Schücker), it seemed to make intuitive sense to me that introducing electromagnetism into an extension of GR intended to model electromagnetism by way of a geometrical object might require it to enter by way of the connection, rather than as an additional field just lying around in spacetime, as it is in Einstein-Maxwell Theory (EMT). Hence, in this view, the SSMC is an obvious candidate.
Many years ago (getting close to 30 now), while doing my PhD (Voros 1996) in theoretical physics on mathematical extensions to General Relativity – and in particular, on Einstein’s own “unified field theory” – I happened across a book by Jan Schouten (1954) called Ricci-Calculus, which was an introduction (by a mathematician) to tensors and their applications, especially to geometrical thinking and analysis.
The question asked in the title of this post is one I have been pondering for the most part of a decade now, ever since I saw the image, shown in Figure 1, of the galaxy PGC54559 (popularly known as Hoag’s Object) in 2010, following several months of thinking about what Kardashev Type III civilisations might look like.
I’ve had a new paper accepted for a special issue of the SAGE journal World Futures Review, on Foresight Education, edited by Peter Bishop. It is yet to be assigned to a volume/issue (UPDATE: it is most likely to be Vol.10, No. 4, Dec 2018), but has had a formal DOI assigned to it to allow for web linking prior to final publication, and is available through SAGE’s OnlineFirst system. I am also allowed to link a version from my University’s research repository, Swinburne ResearchBank. It is an accepted manuscript form, which SAGE allows to be placed in a university repository, rather than the final officially-published version, which they do not. Always look to the pagination of the final published version if you are going to be quoting things from it… Continue reading “Big History and Futures Studies – what a cosmic perfect match!”
The book chapter from which I took the posting on the Futures Cone last February has now been published online by Springer International. It is available to those who have SpringerLink subscriptions (many universities do, so try logging-into your University library and looking for the SpringerLink database) via the doi: link given below. I’ll be checking whether the possibility of self-archiving exists, which means I would be able to deposit a pre-publication (note: not the final) version of the chapter at Swinburne ResearchBank for wider availability. Continue reading “Chapters and an Article”