98 research outputs found

    Is Space-time Really Doomed?

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    For many years now it has become conventional for theorists to argue that "space-time is doomed", with the difficulties in finding a quantum theory of gravity implying the necessity of basing a fundamental theory on something quite different than usual notions of space-time geometry. But what is this space-time geometry that is doomed? In this essay we'll explore how our understanding of four-dimensional geometry has evolved since Einstein, leading to new ideas about such geometry which may not be doomed at all.Comment: Essay written for the Gravity Research Foundation 2022 Awards for Essays on Gravitatio

    Spacetime is Right-handed

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    We describe the relation between vectors and spinors in complex spacetime in an unconventional chirally asymmetric manner, using purely right-handed spinors, with Minkowski spacetime getting Wick rotated to a four-dimensional Euclidean spacetime with a distinguished direction. In this right-handed spinor geometry self-dual two-forms can be used to get chiral formulations of the Yang-Mills and general relativity actions. Euclidean spacetime left-handed spinors then transform under an internal SU(2)SU(2) symmetry, rather than the usual SU(2)LSU(2)_L spacetime symmetry related by analytic continuation to the Lorentz group SL(2,C)SL(2,\mathbf C).Comment: Typos fixe

    Central Potentials and the Hydrogen Atom

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    The Rotation and Spin Groups in Three and Four Dimensions

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    Not even wrong: the failure of string theory and the search for unity in physical law

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    Has physics gone off in the wrong direction? Peter Woit presents the other side of the growing debate on string theory--arguing that it's not even scienc

    Search for the ‘perfect’ theory

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    Two-state Systems and SU(2)

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