11 papers
Geometric Aharonov-Bohm phase effect around a black hole
Kaushlendra Kumar, Shahn Majid
In recent work, we have explored the novel possibility that the geodesic of a spacetime density flow in GR could be upgraded to an amplitude with density . We now show…
Time-slicing quantum spacetimes
Shahn Majid
For quantum field theory on curved spacetimes, a critical role is played by their foliation into spacelike time-slices at each value of a coordinate time, with corresponding me…
Algebraic approach to quantum gravity IV: applications
Shahn Majid
We provide a relatively self-contained introduction to the application of quantum spacetime and quantum Riemannian geometry to theoretical physics. Recent successes include calcula…
Geodesic flows on a black-hole background
Kaushlendra Kumar, Shahn Majid
A recent notion of geodesic flows which comes out of noncommutative geometry but which is also novel in the classical case is studied in detail for a Schwarzschild spacetime. In th…
Quantum jet Hopf algebroids by cotwist
Xiao Han, Shahn Majid
We introduce a cotwist construction for Hopf algebroids that also entails cotwisting or `quantisation' of the base and which is dual to a previous twisting construction of P. Xu. W…
Quantum variational calculus on a lattice
Shahn Majid, Francisco Simão
We solve the long-standing problem of variational calculus on a noncommutative space or spacetime for a significant class of models with trivial jet bundle. Our approach entails a…