Lectures related to Dynamical Frames in Gravity: Observables, Locality, and Covariance

Explores general covariance in gravity, covering equations, curvature tensor, and static gravity field.

Explores Goldstone bosons and the Higgs mechanism, revealing how spontaneous symmetry breaking generates mass for gauge bosons.

Symmetry Breaking: Magnetic Fields in Cosmology

Covers symmetry breaking and its role in generating magnetic fields in cosmology.

Cosmological Puzzles: Dark Matter and Energy

Explores fundamental cosmological puzzles related to dark matter and energy.

Scattering Structures: From Amplitudes to Black Holes

Explores gauge symmetry, amplitudes, black holes, and fluids, highlighting the interplay between redundancy, diffeomorphisms, and the double copy phenomenon.

The Higgs Mechanism

Explores the formal aspects of the Higgs mechanism, covering mass terms, symmetry breaking, and the standard model Higgs boson.

Quantum Field Theory: Behind and Beyond the Standard Model

Delves into quantum field theory, emphasizing the Standard Model's boundaries and the principles governing particle physics.

Curved Space-Time

Discusses curved space-time, arguments against scalar gravity, and relativistic effects of motion.

Newton's Laws: Motion and Interaction

Explores Newton's laws of motion, inertia, force, momentum, and action-reaction principle, with practical examples.

Special and General Relativity

Introduces special and general relativity, Einstein equations, and gravitational dynamics.

Relativity and Thermodynamics: Key Concepts Explained

Covers key concepts in relativity and thermodynamics, including time dilation, length contraction, and the principles of heat engines.

The Higgs Mechanism: Formal Aspects

Covers the formal aspects of the Higgs mechanism, explaining mass terms for scalar and gauge bosons through symmetry breaking.

Quantum Field Theory II: Maxwell Field and Symmetries

Covers the Maxwell field, symmetries, and making shifts in local and covariant derivatives.

Quantum Field Theory: Gauge Symmetries

Explores gauge symmetries in quantum field theory, emphasizing invariance under transformations and the role of ghost fields.

Lagrangian Formulation: Electrodynamics & Relativity

Covers the Lagrangian formulation of electrodynamics and relativistic particle mechanics.

Special Relativity: Inertial Frames and Galileo's Laws

Explores inertial frames, Galileo's laws, and special relativity postulates.

Holography in Classical Gravity

Covers the concept of holography in classical gravity and its relation to string theory.

Principal Component Analysis: Dimension Reduction

Covers Principal Component Analysis for dimension reduction in biological data, focusing on visualization and pattern identification.

Lorentz Transformations in Special Relativity

Explores Lorentz transformations in special relativity, discussing events, coordinates, light signals, and speed equivalence.

Relativistic Dynamics

Explores the transformation of Newton's second law in the context of Einstein's relativity and Lorentz transformations, discussing the equivalence of physical quantities in different inertial frames.