Kaushlendra Kumar | Mathematical Physicist

Submitted proceedings · October 2026

Helstrom geometry with time-dependent spectral calibration

A spectral distance can grow while two qubit states become less distinguishable, if the Dirac links setting its scale change with time. The same spectral record can therefore describe either contraction or information backflow. Distances to scalar references recover the missing calibration and distinguish the two histories.

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Figure 1 from the proceedings: a qubit Bloch ball with two scalar reference states and their spectral distances — Scalar-anchored calibration geometry. Figure 1 from the proceedings.

Preprint · August 2026 Laughlin quasihole geometry from a single snapshot ensemble Published · Physics Letters B 880 Characteristic lightcone sources in SO(1,3) Yang–Mills theory

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Mathematical physics, in practice

A choice of geometry affects what we can calculate about a physical system. In gauge theory, spacetime symmetries let me construct exact fields and examine their sources and conserved charges. For quantum states, I ask which measurements or spectral data determine their distances and phases, and what extra information is needed when the geometry itself changes.

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