A∣Ω⟩ Institute

Mathematical Physics

Gravitational Topology & Spectral Geometry

Resolution of the conformal instability via indefinite metric quantization. Topological derivation of the mass hierarchy.

• Black Hole Thermodynamics
• Spectral Analysis
• Euclidean Quantum Gravity

Computational Biology

Cognitive Geometry & Operator Dynamics

Defining the measurement horizons of biological systems. Operationalizing the psychophysical interface via the Pauli algebra.

• The A|Ω⟩ Formalism
• Psychophysics & Psychodynamics
• Topological Chromatic Spaces

Numerical Analysis

Lattice QCD & High-Performance Kernels

Development of symplectic integrators and spectral solvers for non-perturbative gauge theory simulation.

• Repo: AlphaOmega-LQCD
• Repo: AlphaOmega-Theory