6 papers
Laughlin quasihole geometry from a single snapshot ensemble
Kaushlendra Kumar
Can a probability distribution measured in one basis determine complex quantum geometry? The answer is affirmative for a lattice Laughlin quasihole. The exact occupation law at one…
Calibrated Helstrom geometry on the Bloch ball via Connes spectral distance
Kaushlendra Kumar
We show that the equal-prior Helstrom trace-distance geometry of qubit states is recovered from Connes spectral distance in a finite scalar-qubit-scalar model. The two scalar refer…
Characteristic Lightcone Sources in SO(1,3) Yang-Mills Theory
Kaushlendra Kumar
The SO(1,3)-symmetric reduction of Yang-Mills theory on Minkowski space yields a stress-energy tensor that is smooth on the timelike and spacelike Lorentz orbits but diverges on th…
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…
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…
SO(1,3) Yang-Mills solutions on Minkowski space via cosets
Kaushlendra Kumar
We present a novel family of Yang-Mills solutions, with gauge group SO(1,3), on Minkowski space that are geometrically distinguished into two classes, viz. interior and exterior of…