The Semi-Symmetric Metric Connection – Part II: Mathematical Preliminaries

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.

Continue reading “The Semi-Symmetric Metric Connection – Part II: Mathematical Preliminaries”

The Semi-Symmetric Metric Connection – Part I: The Background

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.

Continue reading “The Semi-Symmetric Metric Connection – Part I: The Background”

Is “Hoag’s Object” an “engineered” galaxy?

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.

hoag_hst_big_full
Figure 1. PGC54559 (“Hoag’s Object”). Image credit: NASA & The Hubble Heritage Team (STScI/AURA). Acknowledgement: Ray A. Lucas (STScI/AURA). Multiple formats and sizes are available from: http://hubblesite.org/image/1241/news_release/2002-21

Continue reading “Is “Hoag’s Object” an “engineered” galaxy?”

Celebrating the Master of Strategic Foresight

 

Last year I noted that the Master of Strategic Foresight (MSF) — with which I’ve been involved since its inception at Swinburne in 2001 and into which I’ve taught for almost as long (through guest lectures firstly, then as a formal member of teaching staff from 2003) — was being shut down, and was to be taught out over the next year or so. My fellow foresight conspirator for much of that time, Peter Hayward (aka “Captain Foresight”), retired at the end of last year, but not before we were able to celebrate the fact that the MSF had existed at all. That was what we chose to call the “MSF Wake”. Continue reading “Celebrating the Master of Strategic Foresight”

How Futurists Work/Think

Last year a colleague at the International Big History Association (www.ibhanet.org) asked me how futurists work/think. This was for a book she was writing for high school students on Big History. The final chapters of these types of books tend to focus on the future, hence the request for some ideas from someone who does this for a living. I tapped out a quick, off-the-top-of-my-head answer and sent it off. In thinking about how long since I’ve posted here, I thought I’d better get back into gear, especially as there are some ideas to share coming soon… Here is the essence of what I wrote: Continue reading “How Futurists Work/Think”

The “e-maelstrom” of holiday email

keep-calm-and-delete-emails-1I’ve returned from the Christmas (and, here in the Southern Hemisphere, summer) holidays and, after settling back in to my office, I began the daunting task of dealing with the torrent of emails that came in over the 3 or so weeks I was away (hence a need to let off some nervous energy in a blog post… 😉

You know what I mean – a veritable maelstrom of email arrives during a break from work when you’re not looking. Hmm, a maelstrom of email: an “e-maelstrom”, if you will. 🙂 Continue reading “The “e-maelstrom” of holiday email”