Quantum geometric information flows and relativistic generalizations of G. Perelman thermodynamics for nonholonomic Einstein systems with black holes and stationary solitonic hierarchies
Sign Up to like & getrecommendations! Published in 2022 at "Quantum Information Processing"
DOI: 10.1007/s11128-021-03287-7
Abstract: We investigate classical and quantum geometric information flow theories (GIFs and QGIFs) when the geometric flow evolution and field equations for nonholonomic Einstein systems, NES, are derived from Perelman–Lyapunov-type entropic-type functionals. The term NES encodes… read more here.
Keywords: nonholonomic einstein; quantum geometric; information; thermodynamics ... See more keywords
Quantum Fluctuation of the Quantum Geometric Tensor and Its Manifestation as Intrinsic Hall Signatures in Time-Reversal Invariant Systems.
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DOI: 10.1103/physrevlett.130.036202
Abstract: In time-reversal invariant systems, all charge Hall effects predicted so far are extrinsic effects due to the dependence on the relaxation time. We explore intrinsic Hall signatures by studying the quantum noise spectrum of the… read more here.
Keywords: quantum geometric; time; geometric tensor; hall ... See more keywords
Kaluza–Klein gravity and cosmology emerging from G. Perelman’s entropy functionals and quantum geometric information flows
Sign Up to like & getrecommendations! Published in 2021 at "European Physical Journal Plus"
DOI: 10.1140/epjp/s13360-021-01117-4
Abstract: We elaborate on quantum geometric information flows, QGIFs, and emergent (modified) Einstein–Maxwell and Kaluza–Klein, KK, theories formulated in Lagrange–Hamilton and general covariant variables. There are considered nonholonomic deformations of Grigory Perelman’s F- and W-functionals (originally… read more here.
Keywords: information flows; entropy; geometric information; cosmology ... See more keywords