News•Mar 10, 2026
Twistors and Unification
The author proposes Penrose’s twistor theory as a chiral alternative to conventional spacetime symmetries, linking Wick rotation to a gauge choice in complex projective space. By treating PT≈CP³ with an SU(2,2) conformal action, particles become representations of a larger symmetry group, while holomorphic bundles on PT⁺ encode gauge fields and self‑dual solutions. The framework suggests a route to embed the Standard Model’s U(1)×SU(3) structure and possibly generate Higgs and fermion sectors via Penrose‑Ward correspondences. Though still speculative, the approach aims to unify quantum fields and gravity through a globally holomorphic formalism.
By Not Even Wrong
News•Mar 10, 2026
Twistors and Wick Rotation
The article explains how twistor theory provides a geometric framework for Wick rotating between Minkowski and Euclidean spacetimes. By treating spacetime points as CP^1 lines inside projective twistor space (PT=CP^3), the author shows that the Minkowski conformal group SU(2,2) and...
By Not Even Wrong
News•Mar 5, 2026
Weyl Spinor Fields and Right-Handed Spacetime
The article explains why a single Weyl spinor field cannot be Wick‑rotated using the conventional Euclidean continuation, highlighting a fundamental mismatch between Minkowski and Euclidean spinor representations. It proposes a new framework that employs only right‑handed Weyl spinors to encode...
By Not Even Wrong
News•Mar 4, 2026
Lorentz versus Euclidean Symmetry
The article explains how Wick rotation swaps the Lorentz symmetry SO(3,1) of Minkowski quantum field theory for the Euclidean rotation group SO(4), and how the reverse process is more subtle. It shows that Osterwalder‑Schrader (OS) reconstruction in Euclidean space breaks...
By Not Even Wrong