Finite-resolution Gaussian regularization of (2+1)D flat spacetime induces a curved metric with integrated Gaussian curvature of -2 pi and an effective negative energy source of -1/(4G) independent of resolution scale.
Integrable Toda system as a quantum approximation to the anisotropy of Mixmaster
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abstract
We present a regularisation approach to the study of the quantum dynamics of the Mixmaster universe which allows to approximate the anisotropy potential with the explicitly integrable periodic 3-particle Toda system. This approach is based on a covariant Weyl-Heisenberg integral quantization. Such a procedure naturally amplifies the dynamical role of the underlying Toda system by smoothing out the three canyons of the anisotropy potential. Since the respective eigenfunctions can be explicitly constructed, our finding paves the way to a novel perturbative approach to the quantum Mixmaster dynamics.
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gr-qc 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Finite-resolution measurement induces topological curvature defects in spacetime
Finite-resolution Gaussian regularization of (2+1)D flat spacetime induces a curved metric with integrated Gaussian curvature of -2 pi and an effective negative energy source of -1/(4G) independent of resolution scale.