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    Spin(4) gauge theory of space, time, gravitation, matter, and dark matter

    Tomi Koivisto*

    Lucy Zheng†

    Tom Zlosnik

    • Laboratory of Theoretical Physics, Institute of Physics, University of Tartu, Wilhelm Ostwaldi 1, 50411 Tartu, Estonia

    • *Contact author: tomi.koivisto@ut.ee
    • †Contact author: luxi.zheng@ut.ee

    Phys. Rev. D 113, 124069 – Published 22 June, 2026

    DOI: https://doi.org/10.1103/xx3x-s5wj

    Abstract

    A gauge-theoretic framework for spacetime and gravitation is proposed, in which a Cartan chronon field breaks the symmetry between space and time, enabling the emergence of temporality within a fundamentally Euclidean setting. Based on a Spin(4) gauge structure, the theory provides a real-valued formulation of chiral spacetime, wherein the effects typically attributed to dark matter may instead be accounted for by the dynamics of gravitation. New results are presented that are relevant to a broad range of phenomena, including cosmology, large-scale structure, gravitational waves, black holes, and potential signatures accessible to laboratory experiments.

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