Dimitar Stavrev Prodromov

Spectral SU(3) Gauge Invariant on Four-Dimensional Euclidean Lattices: Wilson Loop Expectation Values, Area Law Confinement, and the Non-Perturbative Mass Gap

Complete lattice computation of Wilson loop expectation values under SU(3) gauge theory on a four-dimensional Euclidean lattice. Establishes color confinement via the area law and extracts the non-perturbative Yang-Mills mass gap of 77.71 MeV from the two-point glueball correlato...

Nonlinear Inversion of Dissipative Trajectories in Hilbert Spaces via Riccati Differential Matrix Control and Saddle-Node Bifurcation Stabilization

Rigorous formulation and solution of the deterministic nonlinear trajectory inversion problem in four-dimensional Hilbert spaces via the Riccati Differential Equation (DRE) and Continuous Algebraic Riccati Equation (CARE). Derives the optimal LQR feedback law, proves entropy neut...

Spectral SU(3) Gauge Invariant on Four-Dimensional Euclidean Lattices: Wilson Loop Expectation Values, Area Law Confinement, and the Non-Perturbative Mass Gap

Complete lattice computation of Wilson loop expectation values under SU(3) gauge theory on a four-dimensional Euclidean lattice. Establishes color confinement via the area law and extracts the non-perturbative Yang-Mills mass gap of 77.71 MeV from the two-point glueball correlato...

Statistical Rigidity of Wigner-Dyson Eigenvalue Distributions in Gaussian Unitary Ensembles: The Spectral Integrity Operator and Selberg Automorphic Stabilization

Definition and exact evaluation of the Spectral Integrity Operator for Gaussian Unitary Ensemble (GUE) random matrices. Proves the identity T(E/I) = 1.000000 by combining the Wigner surmise normalization with the Dyson-Mehta spectral rigidity statistic at the James Arthur truncat...

Nonlinear Inversion of Dissipative Trajectories in Hilbert Spaces via Riccati Differential Matrix Control and Saddle-Node Bifurcation Stabilization

Rigorous formulation and solution of the deterministic nonlinear trajectory inversion problem in four-dimensional Hilbert spaces via the Riccati Differential Equation (DRE) and Continuous Algebraic Riccati Equation (CARE). Derives the optimal LQR feedback law, proves entropy neut...