Category Archives: Euclidean Twistor Unification

Twistors and Unification

The last few postings here have been about rather technical problems with the conventional understanding of how spacetime symmetries and Wick rotation work in the Standard Model. These were written partly because I think these problems deserve to be better … Continue reading

Posted in Euclidean Twistor Unification | 12 Comments

Twistors and Wick Rotation

In the last posting I explained how a fundamental problem shows up if you try to Wick rotate a Weyl spinor. Wick rotation is supposed to be analytic continuation in a four dimensional complex spacetime which, in terms of spinors, … Continue reading

Posted in Euclidean Twistor Unification | 3 Comments

Weyl Spinor Fields and Right-handed Spacetime

In this post I’ll discuss Weyl spinor fields and explain why Wick-rotating a single Weyl spinor field appears to be impossible. This motivates a proposal for a different way of thinking about the relation between spinors and vectors, described by … Continue reading

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Lorentz versus Euclidean Symmetry

Wick rotation changes the spacetime symmetries of a quantum field theory, changing between The Lorentz group, by which I’ll mean either $SO(3,1)$ or $SL(2,\mathbf C)$, the double cover of the time orientation-preserving subgroup of $SO(3,1)$. The four-dimensional Euclidean signature rotation … Continue reading

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Wick Rotating Weyl Spinor Fields

It’s been taking me forever to sort out and write down the details of implications of the proposal described here. While waiting for that to be done, I thought it might be a good idea to write up one piece … Continue reading

Posted in Euclidean Twistor Unification | 14 Comments

Podcast on Unification

I recently did another podcast with Curt Jaimungal, on the topic of unification, which is now available here. As part of this I prepared some slides, which are available here. The main goal of the slides is to explain the … Continue reading

Posted in Euclidean Twistor Unification | 21 Comments

Various and Sundry

The semester here is coming to a close. I’m way behind writing up notes for the lectures I’ve been giving, which are ending with covering the details of the Standard Model. This summer I’ll try to finish the notes and … Continue reading

Posted in Euclidean Twistor Unification, Langlands | 14 Comments

David Tong: Lectures on the Standard Model

David Tong has produced a series of very high quality lectures on theoretical physics over the years, available at his website here. Recently a new set of lectures has appeared, on the topic of the Standard Model. Skimming through these, … Continue reading

Posted in Euclidean Twistor Unification, Uncategorized | 13 Comments

Why physicists are rethinking the route to a theory of everything

New Scientist this week has a cover story I can strongly endorse, entitled Why physicists are rethinking the route to a theory of everything. It’s by journalist Michael Brooks, partly based on a long conversation we had a month or … Continue reading

Posted in Euclidean Twistor Unification | 50 Comments

Unification, Spinors, Twistors, String Theory

Last month I recorded a podcast with Curt Jaimungal for his Theories of Everything site, and it’s now available with audio here, on Youtube here. There are quite a few other programs on the site well worth watching. Much of … Continue reading

Posted in Euclidean Twistor Unification, Uncategorized | 22 Comments