The authors argue that quantum gravity and general covariance force the information geometry of quantum theory to become dynamical, requiring a modified Born rule testable via triple-slit matter-wave interference.
K\"ahler Finsler manifolds with curvatures bounded from below
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abstract
We obtain a partial parallelism of the complex structure on K\"ahler Finsler manifolds. As applications, we prove Synge-Tsukamoto theorem and Bonnet-Myers theorem for positively curved K\"ahler Finsler manifolds. Moreover, we generalize a comparison theorem due to Ni-Zheng by introducing the notion of orthogonal Ricci curvature to K\"ahler Finsler geometry.
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gr-qc 1years
2025 1verdicts
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Physical limits on information metrics and quantum gravity as gravitized quantum theory
The authors argue that quantum gravity and general covariance force the information geometry of quantum theory to become dynamical, requiring a modified Born rule testable via triple-slit matter-wave interference.