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Yang-Hui He
Fri May 31 2024 19:28:02 (16 hours)
# 1.
arXiv:2405.19973v1 Announce Type: cross Abstract: Recent years have seen the dramatic rise of the usage of AI algorithms in pure mathematics and fundamental sciences such as theoretical physics. This is perhaps counter-intuitive since mathematical sciences require the rigorous definitions, derivations, and proofs, in contrast to the experimental sciences which rely on the modelling of data with error-bars. In this Perspective, we categorize the approaches to mathematical discovery as “top-down”, “bottom-up” and “meta-mathematics”, as inspired by historical examples. We review some of the progress over the last few years, comparing and contrasting both the advances and the short-comings in each approach. We argue that while the theorist is in no way in danger of being replaced by AI in the near future, the hybrid of human expertise and AI algorithms will become an integral part of theoretical discovery.
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Lawrence M. Krauss, Francesco Marino, Samuel L. Braunstein, Mir Faizal, Naveed A. Shah
Fri May 31 2024 19:28:02 (16 hours)
# 2.
arXiv:2405.19385v1 Announce Type: new Abstract: Recent experimental progresses in controlling classical and quantum fluids have made it possible to realize acoustic analogues of gravitational black holes, where a flowing fluid provides an effective spacetime on which sound waves propagate, demonstrating Hawking-like radiation and Penrose superradiance. We propose the exciting possibility that new hydrodynamic systems might provide insights to help resolve mysteries associated with quantum gravity, including the black hole information-loss paradox and the removal of spacetime singularities.
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Leonardo Castellani, Anna Gabetti
Fri May 31 2024 19:28:00 (16 hours)
# 3.
arXiv:2405.19427v1 Announce Type: new Abstract: The formalism of generalized quantum histories allows a symmetrical treatment of space and time correlations, by taking different traces of the same history density matrix. We recall how to characterize spatial and temporal entanglement in this framework. An operative protocol is presented, to map a history state into the ket of a static composite system. We show, by examples, how the Leggett-Garg and the temporal CHSH inequalities can be violated in our approach.
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Kallan Berglund, Martin Bojowald, Aurora Colter, Manuel Diaz
Fri May 31 2024 19:27:57 (16 hours)
# 4.
arXiv:2405.20193v1 Announce Type: new Abstract: Superpositions of black holes can be described geometrically using a combined canonical formulation for space-time and quantum states. A previously introduced black-hole model that includes quantum fluctuations of metric components is shown here to give full access to the corresponding space-time geometry of weak-field gravity in terms of suitable line elements with quantum corrections. These results can be interpreted as providing covariant formulations of the gravitational force implied by a distribution of black holes in superposition. They can also be understood as a distribution of quantum matter constituents in superposition for a single black hole. A detailed analysis in the weak-field limit reveals quantum corrections to Newton’s potential in generic semiclassical states, as well as new bounds on quantum fluctuations, implied by the covariance condition, rather than the usual uncertainty principle. These results provide additional control on quantum effects in Newton’s potential that can be used in a broad range of predictions to be compared with observations.
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Sun May 26 2024 02:14:11 (6 days)
# 5.
Niederklapfer, Alexander (2024) What is Fundamental in Fundamental Physics? [Preprint]
