A new complete gauge fixing at initial data via Hodge decomposition on complete Riemannian manifolds enables existence proofs for Hadamard states in the quantization of Maxwell theory on globally hyperbolic Lorentzian manifolds.
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The work claims to build generalized manifold-metric pairs, prove metrizability via the Urysohn theorem, introduce higher-rank tensor metrics and complex/quaternionic structures, and apply them to cosmological expanding spacetimes within a unified information-theoretic framework.
A review of the chaos-assisted holographic correspondence linking the SYK model to 2D JT gravity, including the need for string theory corrections at fine quantum scales.
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On the Quantisation of Linear Gauge Theories on Lorentzian Manifolds: Maxwell's Theory via Complete Gauge Fixing
A new complete gauge fixing at initial data via Hodge decomposition on complete Riemannian manifolds enables existence proofs for Hadamard states in the quantization of Maxwell theory on globally hyperbolic Lorentzian manifolds.
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Advanced manifold-metric pairs
The work claims to build generalized manifold-metric pairs, prove metrizability via the Urysohn theorem, introduce higher-rank tensor metrics and complex/quaternionic structures, and apply them to cosmological expanding spacetimes within a unified information-theoretic framework.
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Quantum chaos and the holographic principle
A review of the chaos-assisted holographic correspondence linking the SYK model to 2D JT gravity, including the need for string theory corrections at fine quantum scales.