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Poincaré half-plane model
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Non-Euclidean Geometries
Explores non-Euclidean geometries, including hyperbolic geometry and the tractricoid model, challenging Euclidean principles and introducing projective geometry.
Circle Orthogonal & Poincaré Disk
Covers circle orthogonal and Poincaré disk concepts in geometry.
Vector Fields and Lorentz Tensors: Representation Theory
Covers the transformation properties of vector fields and their representation in Lorentz tensors.
Poincaré Group and Lorentz Subgroup
Explores the Poincaré group and Lorentz subgroup in theoretical physics.
Lie Theorems and Group Algebra
Covers Lie theorems, group algebra, Ado's theorem, and spacetime symmetries.
Planes and Cylinders: Ray Intersections and Implementations
Covers the implementation of ray intersections with planes, cylinders, and spheres.
Smooth Dynamics: Bernoulli and K Properties
Explores Bernoulli and K properties in smooth dynamics, including equivalence, examples, and implications.
Symmetric Figures
Covers the concept of symmetry and examples in a square.
Lie Algebra Representation
Delves into Lie algebra representation and Lorentz subgroup concepts.
Quantum Field Theory: Lorentz and Poincaré Groups Representations
Explores Lorentz and Poincaré groups representations, Poincaré algebra, and Lagrangians in Quantum Field Theory.
