An Unruh-DeWitt detector interacting with a position-superposed BTZ black hole produces outcome probabilities containing a nonclassical contribution that distinguishes quantum superposition from classical mixtures, arising from singularities in the probed spectrum.
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Ashtekar, Geometry and physics of null infinity, Sur- veys Diff
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abstract
In asymptotically Minkowski space-times, one finds a surprisingly rich interplay between geometry and physics in both the classical and quantum regimes. On the mathematical side it involves null geometry, infinite dimensional groups, symplectic geometry on the space of gravitational connections and geometric quantization via K\"ahler structures. On the physical side, null infinity provides a natural home to study gravitational radiation and its structure leads to several interesting effects such as an infinite dimensional enlargement of the Poincar\'e group, geometrical expressions of energy and momentum carried by gravitational waves, emergence of non-trivial `vacuum configurations' and an unforeseen interplay between infrared properties of the quantum gravitational field and the enlargement of the asymptotic symmetry group. The goal of this article is to present a succinct summary of this subtle and beautiful interplay.
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A 3d sourced conformal Carrollian field theory is proposed to holographically capture 4d flat gravity kinematics, with Ward identities matching 2d celestial CFT after relating operators.
A minimum purification time for evaporating black holes is derived as scaling with M0^4/hbar^{3/2}, becoming exponential in initial area under a metastability assumption for Planck-scale holes, implying white-hole remnants.
A Carrollian theory on null infinity reproduces all MHV and NMHV Yang-Mills tree amplitudes, with a new explicit NMHV expression.
Fixing null-infinity boundary action ambiguities via 5-point amplitude constraints yields subleading soft theorems and proposes generalized Geroch-tensor Goldstone modes for sub^n-leading soft graviton insertions.
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