Bharat Heavy Electricals (India)

Finite-Dimensional Modular Theory, Non-Commutative Relative-Entropy Geometry, and Resilient Quantum Mirror Descent for Holographic State Reconstruction (Version 3)

Abstract We establish an exact mathematical framework connecting finite-dimensional Tomita–Takesaki modular theory, Kubo–Mori–Bogoliubov (KMB) Riemannian geometry, and entropic optimization for quantum states. First, we prove that the second directional derivative (Hessian) of th...

Phase-Synchronized Trajectory Optimization on Curved Manifolds with High-Order Non-Separable Symplectic Thermostats, Adaptive Manifold Restraints, and 3D Braid-Group Spacetime Knot

Abstract We formulate and prove Version 4.0 of the unified geometric, thermodynamic, and topological framework governing relativistic N-body systems evolving on pseudo-Riemannian spacetimes. This work rigorously resolves fundamental challenges across relativistic astrophysics, ge...

Knowledge and Perceptions About Antenatal Fetal Ultrasound and Doppler Imaging Among Pregnant Women Attending a Private Radiology Clinical Setting in Rural Central India

Abstract The aim of the study is to determine the understanding and perceptions of antenatal ultrasound among pregnant women attending a private radiology clinical setting in rural central India, as there is suboptimal uptake of antenatal fetal ultrasound and Doppler assessments...