93 citations · 134 across the 18 of their papers we have counts for
8 papers · 1 filter
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 h…
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…
Klein-Gordon flow on FLRW spacetimes
Edwin Beggs, Shahn Majid
We study a new approach to generally covariant quantum mechanics applied in the case of an FLRW cosmological background. For positive spatial curvature we find a discrete series of…
Generally covariant quantum mechanics
Edwin Beggs, Shahn Majid
We obtain generally covariant operator-valued geodesic equations on a pseudo-Riemannian manifold as part of the construction of quantum geodesics on the algebra of diffe…
Curvature fluctuations in a baby quantum gravity model
Samuel Blitz, Shahn Majid
Understanding the microscopic behavior of spacetime is critical for developing a theory of quantum gravity and perhaps solving the cosmological constant problem. In this context, i…
Quantum Gravity: are we there yet?
Shahn Majid
The turn of the millennium was a time of optimism about an approach to noncommutative geometry inspired by rich mathematical objects called `quantum groups' and its applications to…