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Quantum Theory, Groups and Representations
Not Even Wrong: The Book
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- Formalization of QFT? 26
John Baez, Peter Woit, Alex Gezerlis, cyd, Marko, clueless_postdoc [...] - Twistors and Unification 12
Andras Laszlo, Andras Laszlo, Peter Woit, Peter Woit, Peter Woit, Peter Woit [...] - Osterwalder-Schrader and Euclidean Spinor Fields 7
Peter Woit, Brian Dolan, Peter Woit, Peter Woit, Alex, Peter Woit [...] - Twistors and Wick Rotation 3
Peter Woit, zzz, John - Weil Anima 3
Peter Woit, Sad Ignorance, tripitaka
- Formalization of QFT? 26
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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
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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
Posted in Euclidean Twistor Unification
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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
Posted in Euclidean Twistor Unification
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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
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

