Lectures related to Relativistic Invariants

Provides a comprehensive review of relativity, thermodynamics, and kinetic theory concepts.

Covers Lorentz-Minkowski spacetime, speed of light interpretation, isometries, and special relativity principles.

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

Relativity: Special Relativity Principles and Consequences

Explains the principles of special relativity, including time dilation, length contraction, and the Lorentz transformations.

Lorentz Transformations in Special Relativity

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

Electrodynamics Challenges: Space-Time and Relativity

Explores space-time, worldlines, and challenges in electrodynamics and relativity.

Special Relativity: Lorentz Transformations

Explores special relativity, Lorentz transformations, time dilation, and the constancy of the speed of light.

Causal Structure of Spacetime

Explores the causal structure of spacetime in special relativity, focusing on the relativistic interval and Lorentz transformations.

Relativistic Quantum Mechanics

Explores special relativity, the Schrödinger and Dirac equations, antiparticles, and fermions' shortcomings.

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.

Relativistic Kinematics

Explores relativistic kinematics, including the transformation of coordinates, the Lorentz transformation, and the invariance of the space-time interval.

Geometric Examples

Explores geometric examples related to linear applications in algebra.

Lie Groups: Representations and Transformations

Explores Lie groups, scalar fields, and vector spaces transformations.

Lorentz Transformations and Covariant Tensors

Explores Lorentz transformations, covariant tensors, rotational invariance, and linear transformations in vector spaces.

Linear Transformations: Matrices and Applications

Covers linear transformations using matrices, focusing on linearity, image, and kernel.

General Relativity: Predictions and Observations

Explores general relativity, focusing on predictions and observations, including gravitational lensing, black holes, and cosmology.

Special Relativity and Thermodynamics

Introduces special relativity, covering time dilation, mass-energy equivalence, and thermodynamics, including ideal gas laws and phase transitions.

Linear Applications: Matrices and Transformations

Covers linear applications, matrices, transformations, and the principle of superposition.

Relativity: The Concept of Simultaneity in Different Reference Frames

Examines how simultaneity is relative and depends on the observer's reference frame in special relativity.

Time Coordinate in Reference Frame

Explores the importance of time coordinates in reference frames and the relativity of simultaneity.