4 papers
Hamiltonian Lift of Bures--Wasserstein Covariance Dynamics with a Spectral Floor
Christian Kerskens
Covariance dynamics on the positive-definite cone are commonly described by gradient flows, which encode dissipative relaxation but obscure the underlying phase-space structure. We…
The Quantum Correction to Gaussian Information Geometry is the Killing Form of the Symplectic Algebra
Christian Kerskens
On the admissible cone of Gaussian covariance matrices, the classical Bures--Wasserstein transport metric, the Fisher--Rao in…
A Thermodynamic SU(1,1) Witness Framework for Double-Quantum NMR Signals in Neural Tissue
Christian Kerskens
Entanglement criteria based on variances or Fisher information are well developed for compact collective spin algebras, but their extension to non-compact dynamical sectors is less…
Evidence for Bures--Wasserstein Boundary Dynamics in the Living Human Brain
Christian Kerskens
When substrate-constrained covariance flow on the Bures--Wasserstein manifold reaches the Williamson boundary, single-mode compression saturates and further admissible covariance e…